Answer:
70m3
Step-by-step explanation:
5:2
The 2 represents the smaller cylinder. The smaller cylinder=28
To find out how much 1 is we can divide 28 by 2 and that =14. So in the ratio 1=14 and as seen on the left side we have 5 1's. So 14 times 5= 70
Have a nice day :-)
Triangle XYZ is drawn with vertices X(−2, 4), Y(−9, 3), Z(−10, 7). Determine the line of reflection that produces Z′(10, 7).
y-axis
x-axis
y = 3
x = −4
The line of reflection that produces Z′(10, 7) is y - axis.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is a Triangle XYZ is drawn with vertices X(−2, 4), Y(−9, 3), Z(−10, 7). Determine the line of reflection that produces Z′(10, 7).
The rule for a reflection over the y -axis is (x, y) → (−x, y). We can write the reflection as -
Z(- 10, 7) → Z'(10, 7)
Therefore, the line of reflection that produces Z′(10, 7) is y - axis.
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The line of reflection that produces Z′(10, 7) is y - axis.
What is a triangle?
A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is a Triangle XYZ is drawn with vertices X(−2, 4), Y(−9, 3), Z(−10, 7). Determine the line of reflection that produces Z′(10, 7).
The rule for a reflection over the y -axis is (x, y) → (−x, y). We can write the reflection as -
Z(- 10, 7) → Z'(10, 7)
Therefore, the line of reflection that produces Z′(10, 7) is y - axis.
Jim gives the cashier $20 bill at the pharmacy
Answer: bro hear me out rq in the explanation
Step-by-step explanation: Jim hands the cashier the $20 bill and, if necessary, provides his identification to purchase the item. The cashier will then record the purchase, give Jim his change, and thank him for his business.
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
Answer is in a picture, so zoom in!
But overall, the answer is below!
Pls give simple working
Answer:
a) x = 132
b) x = 125
Step-by-step explanation:
Angles in a quadrilateral sum to 360 degrees. Given this, we can determine the missing angles by subtracting the known angles from 360:
a) 360 - 48 - 48 - 132 = 132
b) 360 - 108 - 68 - 59 = 125
The ratio of horizontal distance to height of the ramp is 27:2. A builder has a roll of non-slip rubber
mat that is 27 feet long. Does he have enough rubber to cover the ramp completely? Explain.
Answer:
Yes
What is horizontal distance ?
The distance between two points is understood to mean the horizontal distance, regardless of the relative elevation of the two points.
How to calculate horizontal distance?
Horizontal distance can be expressed as x = Vtx = Vtx=Vt. Vertical distance from the ground is described by the formula y = – 1 2 g t 2 y = – \frac{1}{2}g t^2 y=–21gt2, where g is the gravity acceleration, and h is an elevation.
Step by step explanation:
As long as the ramp is no more than .9965 feet high, then yes
If the ramp is .9965 feet high then its horizontal distance is 12 X .9965 feet or 11.958 feet
Using Pythagoras’ Theorem, the actual length of the ramp would be the square root of (11.958 X 11.958 + .9965 X .9965)
Or the square root of (142.9934 + .9930)
Or SQRT (143.987)
= 11.999 feet
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Find a linear dependence between the following vectors in Mat 2×2 (R) [1002],[213−1],[113−3].
The linear dependence between the vectors is -3[10 02] + 1[21 3−1] + 2[11 3−3] = 0.
The linear dependence between the following vectors in Mat 2×2 (R) [10 02],[21 3−1],[11 3−3] can be found by solving the equation a[10 02] + b[21 3−1] + c[11 3−3] = 0 for a, b, and c. This gives us the following system of equations:10a + 21b + 11c = 02a + 3b + 3c = 02b - c = 0Solving this system of equations, we get a = -3, b = 1, and c = 2. Therefore, the linear dependence between the vectors is -3[10 02] + 1[21 3−1] + 2[11 3−3] = 0. This means that the vectors are linearly dependent and can be written as a linear combination of each other.
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(1 point) The length of the arc intercepted by a central angle of 6 radians in a circle of radius 53 is _____
The length of the arc intercepted by a central angle of 97° in a circle of radius 8 is______
The length of the arc intercepted by a central angle of 6 radians in a circle of radius 53 is:
Arc length = radius x central angle
Arc length = 53 x 6
Arc length = 318
Therefore, the length of the arc intercepted by a central angle of 6 radians in a circle of radius 53 is 318.
The length of the arc intercepted by a central angle of 97° in a circle of radius 8 is:
First, we need to convert 97° to radians:
97° = (97/180) x π radians
97° = 1.69 radians (rounded to two decimal places)
Arc length = radius x central angle
Arc length = 8 x 1.69
Arc length ≈ 13.52 (rounded to two decimal places)
Therefore, the length of the arc intercepted by a central angle of 97° in a circle of radius 8 is approximately 13.52.
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The distance between Dallas,TX and Austin,TX is 195 miles. If 1 mile equals 1. 6 kilometers is there be tween Dallas,TX and Austin,TX?
The distance between Dallas, TX and Austin, TX is 312 kilometers.
To convert miles to kilometers, we need to multiply the distance in miles by the conversion factor, which is 1.6.
So, to find the distance between Dallas, TX and Austin, TX in kilometers, we need to multiply 195 miles by 1.6:
Distance in kilometers = 195 miles * 1.6 = 312 kilometers
Therefore, the distance between Dallas, TX and Austin, TX is 312 kilometers.
To understand how this conversion works, we need to understand what a mile and a kilometer represent. A mile is a unit of length that is used primarily in the United States and is defined as 5,280 feet. A kilometer, on the other hand, is a unit of length that is used in most other countries and is defined as 1,000 meters.
Since the conversion factor between miles and kilometers is 1.6, it means that for every 1 mile, there are 1.6 kilometers. This conversion factor is derived from the fact that 1 mile is approximately equal to 1.60934 kilometers.
Therefore, to convert any distance in miles to kilometers, we need to multiply the distance in miles by 1.6. Conversely, to convert a distance in kilometers to miles, we need to divide the distance in kilometers by 1.6.
Therefore, the distance between Dallas, TX and Austin, TX is 312 kilometers.
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Can someone help please?
The leading coefficient of f(x) is positive, which means that the graph will be pointing upwards on both ends. The graph is attached below.
What is the significant use of graphs in real life?Graphs are a not unusual place technique to visually illustrate relationships within side the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately within side the textual content and in much less space.
To sketch the graph of f(x) = x^4 - 3x^3 + x - 3, we can use the information gathered from analyzing the function:
The leading coefficient of f(x) is positive, which means that the graph will be pointing upwards on both ends.The constant term of f(x) is negative, which means that the graph will be crossing the x-axis at some point.The first derivative of f(x) is f'(x) = 4x^3 - 9x^2 + 1, which has critical points at x = -1/2, x = 0, and x = 9/4.The second derivative of f(x) is f''(x) = 12x^2 - 18x, which helps us determine the concavity of the graph.Using this information, we can sketch the graph of f(x) as follows:
The graph will pass through the point (0, -3), where it crosses the x-axis.The critical points of f(x) divide the x-axis into four intervals: (-∞, -1/2), (-1/2, 0), (0, 9/4), and (9/4, ∞).The second derivative of f(x) is positive on the interval (-∞, 0) and (9/4, ∞), which means that the graph is concave upwards on these intervals.The second derivative of f(x) is negative on the interval (-1/2, 9/4), which means that the graph is concave downwards on this interval.The critical point at x = -1/2 is a relative maximum, since the first derivative changes sign from negative to positive at this point.The critical point at x = 0 is a relative minimum, since the first derivative changes sign from positive to negative at this point.The critical point at x = 9/4 is another relative maximum, since the first derivative changes sign from negative to positive at this point.Putting all of this information together, we can sketch the graph of f(x) as shown below:
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The diameter of a water molecule is
about 2.7 x 10 meters. A flu virus
-10
particle is 300 times as big as that.
What is the approximate diameter of a
flu virus particle?
Write your answer in scientific notation.
Diameter of flu virus particle is 8.1 × 10⁻⁸ meter
What is scientific notation?Scientific notation is a way of representing numbers that are too large or too small to be easily written in decimal form because they require very long strings of digits to be written. This is sometimes called scientific or standard exponential format, or British standard format.
Given,
Diameter of water molecule = 2.7 × 10⁻¹⁰ meters
Flu virus particle is 300 times bigger than water molecule
Diameter of flu virus
= 300 × 2.7 × 10⁻¹⁰
= 810 × 10⁻¹⁰
= 8.1 × 10⁻⁸ meter
Hence, 8.1 × 10⁻⁸ meter is the diameter of the Flue virus particle.
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used to be that Jane could only run 4 laps round the track. She's been practicing and an now run 6 laps. By what percent did the number of laps she can run increase? Solve. (6-4)/(4)=([?])/(4) 2 10
The number of laps increases by 50 percent.
The number of laps Jane can run has increased by 50%. To find this, we can use the formula:
Percentage Increase = (New Value - Old Value) / (Old Value) × 100
In this case, the new value is 6 (the number of laps Jane can now run) and the old value is 4 (the number of laps Jane used to be able to run). Plugging these values into the formula gives us:
Percentage Increase = (6 - 4) / (4) × 100
Percentage Increase = 2 / 4 × 100
Percentage Increase = 0.5 × 100
Percentage Increase = 50%
Therefore, the number of laps Jane can run has increased by 50%.
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Pls give simple working
Screen shot this and then mark when it should go tyy
Answer:
Step-by-step explanation:
Give an example of a compound interest problem. Then solve the
problem.
Write me a problem about compound interest. The simple interest on a sum of money for 3 years at 6²/₃ % per annum is $ 6750. What will be the compound interest on the same sum at the same rate for the same period, compounded annually?
An example of a compound interest problem and the solution problem is:
"Sarah deposits $10,000 into a savings account with a 5% annual interest rate compounded annually. How much will she have in the account after 3 years?"
Solution: Sarah will have $11,576.25 in the account after 3 years.
The compound interest on the same sum at the same rate for the same period, compounded annually, is:
$6,646.34
What is an example of compound interest?Sarah deposits $10,000 into a savings account with a 5% annual interest rate compounded annually. How much will she have in the account after 3 years?
To solve this problem, we can use the formula for compound interest: A = P(1 + r)^n, where A is the final amount, P is the principal amount, r is the annual interest rate, and n is the number of years.
Plug in the given values: A = 10,000(1 + 0.05)^3Simplify the equation: A = 10,000(1.05)^3Calculate the final amount: A = $11,576.25To find the compound interest on the same sum at the same rate for the same period, we can use the same formula for compound interest: A = P(1 + r)^n.
First, we need to find the principal amount. We can use the formula for simple interest: I = Prt, where I is the interest, P is the principal, r is the annual interest rate, and t is the time in years. Rearranging the formula to solve for P, we get P = I/rt.Plug in the given values: P = 6750/(0.0667)(3) = 33,750Now we can plug in the values into the compound interest formula: A = 33,750(1 + 0.0667)^3Simplify the equation: A = 33,750(1.0667)^3Calculate the final amount: A = 40,396.34To find the compound interest, subtract the principal amount from the final amount: 40,396.34 - 33,750 = $6,646.34More information about compound interest here: https://brainly.com/question/24924853
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Simply the ratio 154: 132 in its simplest form
Answer:
7:6
Step-by-step explanation:
...
Answer:
Below
Step-by-step explanation:
154 : 132 the GCF of these two numbers is 22. Divide them both by 22
7:6 Done
If one south African rand is valued at 0,125 of one euro, one south African rand will be valued at what fraction to th euro? Can you calculate whay one Euro will cost in rands
The fraction of the euro is 8/100
one Euro will cost in 8 rands
When we talk about exchange rates, we're essentially talking about the value of one currency compared to another. In this case, we're comparing the South African rand to the euro.
We know that one South African rand is valued at 0.125 of one euro. To figure out what fraction of the euro one South African rand is worth, we can simply divide the value of one rand by the value of one euro:
1 rand ÷ 0.125 euro = 8/100 euro
So, one South African rand is worth 8/100 or 0.08 (which is equivalent to 8%) of one euro.
To calculate what one euro would cost in rands, we can use the inverse of the exchange rate we were given:
1 euro ÷ 0.125 rand/euro = 8 rand
So, one euro would cost 8 South African rand.
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Bob climbed down a ladder from his roof, while Roy climbed up another ladder next to Bob’s ladder. Each ladder had 30 rungs. Their friend Jill recorded the following information about Bob and Roy:
Bob went down two rungs every second.
Roy went up one rung every second.
At some point, Bob and Roy were at the same height. Which rung were they on?
Bob was on the top rung of his ladder (rung 30) and Roy was on the 15th rung of his ladder when they were at the same height.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's assume that Bob started at the top of his ladder and Roy started at the bottom of his ladder.
If both ladders have 30 rungs, then they have a total height of 30 - 1 = 29 rungs.
If Bob went down two rungs every second and Roy went up one rung every second, then they were changing their height at a rate of -2
Let's use "t" to represent the time they had been climbing. Then, we can write an equation to represent the heights of Bob and Roy at this moment:
Bob's height = 30 - 2t
Roy's height = t
30 - 2t = t
Solving for "t", we get:
t = 15
This means that Bob and Roy were at the same height after 15 seconds of climbing.
Bob's height = 30 - 2t = 30 - 2(15) = 0
Roy's height = t = 15
Therefore, Bob was on the top rung of his ladder (rung 30) and Roy was on the 15th rung of his ladder when they were at the same height.
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1. Line AD is parallel to line BC and Line AB is
perpendicular to line BC. Find the value of x.
A (6x +30)°
B
2. Draw two parallel lines and a transversal such
that angle 1 and angle 2 are alternate exterior
angles, angle 2 and angle 3 are vertical angles,
and angle 3 and angle 4 are alternate interior
angles. What type of angle pair is angle 1 and
angle 4?
3. Given two parallel lines cut by a transversal, find
the measure of
4.
A( 8x+28)
D (10x + 4)
B
4. Given two parallel lines cut by a transversal, find
the measure of Z ABC.
A (3x-45)
B(2x+15)
When lines A and B are cut by a transversal, then ∠1 and ∠4 fοrm a pair οf vertical angles.
What is transversal?In geοmetry, a transversal line intersects twο lines in the same plane at twο different lοcatiοns. In the Euclidean plane, transversals help establish the parallelism οf twο οr mοre οther straight lines. It crοsses twο lines at separate lοcatiοns. Transversal intersectiοn results in numerοus angles.
Twο parallel lines are A and B are drawn.
They are cut by a transversal C.
The angles ∠1 and ∠2 are fοrming a pair οf alternate exteriοr angles.
The angles ∠3 and ∠4 are fοrming a pair οf alternate interiοr angles.
The angles ∠2 and ∠3 are verticals angles.
Similarly, the angles ∠1 and ∠4 fοrm a pair οf vertically οppοsite angles.
Therefοre, the angles fοrm vertical pair.
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Given L || m || n, find the value of x
Answer:
x=18
Step-by-step explanation:
Being that the angles are corresponding they are going to equal the same thing.
(7x+7)=133
Now just follow the laws of PEMDAS
7x+7=133
-7 -7
7x=126
÷7 ÷7
x=18
Which point has coordinates (4.9, 3.9)?
Answer:
C
Step-by-step explanation:
Find the slope of each line
Answer:
slope is undefined
Step-by-step explanation:
We have 2 coordinates (-4,0) and (-4,1)
Slope m = (y2 - y1)/(x2 - x1) = (1 - 0)/(-4 - -4) = 1/0 or undefined
The undefined slope is the slope of a vertical line
How many 3 element vectors are there which have a length of 0?
And give some examples of 3 element vectors?
The zero vector [0, 0, 0], the length would be √(0^2 + 0^2 + 0^2) = 0.
Examples of 3 element vectors include:
- [1, 2, 3]
- [-1, 0, 5]
- [3, -2, 1]
- [0, 0, 0]
- [4, 4, 4]
- [-2, -2, -2]
There are infinitely many 3 element vectors that have a length of 0. A vector with a length of 0 is called the zero vector, and it has all of its components equal to 0. In the case of a 3 element vector, the zero vector would be [0, 0, 0].
Examples of 3 element vectors include:
- [1, 2, 3]
- [-1, 0, 5]
- [3, -2, 1]
- [0, 0, 0]
- [4, 4, 4]
- [-2, -2, -2]
Remember that the length of a vector is calculated using the formula √(x1^2 + x2^2 + x3^2), where x1, x2, and x3 are the components of the vector. So, for the zero vector [0, 0, 0], the length would be √(0^2 + 0^2 + 0^2) = 0.
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Calculate the fluid intake in milliliters for the following meal
(assume a cup = 6oz and a glass = 8oz)
1/3 glass of orange juice
1/2 cup of tea
1/2 pt milk
1 tuna fish sandwich
1 popsicle (3oz)
TOTAL = _____ mL
*I need this answered quickly please and thank you.*
The total fluid intake for the meal is 493.04 mL.
How to find the total fluid intake for the meal?We first need to convert the volume of each beverage to ounces, and then to milliliters.
1/3 glass of orange juice = (1/3) x 8 oz = 2.67 oz = 79.01 mL (assuming 1 oz = 29.57 mL)
1/2 cup of tea = (1/2) x 6 oz = 3 oz = 88.72 mL
1/2 pt milk = (1/2) x 16 oz = 8 oz = 236.59 mL (assuming 1 pt = 16 oz and 1 oz = 29.57 mL)
1 popsicle (3oz) = 3 oz = 88.72 mL
The total fluid intake for the meal is
79.01 mL + 88.72 mL + 236.59 mL + 88.72 mL = 493.04 mL
Therefore, the fluid intake for the meal is approximately 493.04 mL.
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The population of bears in a national forest is changing according to the function N(t) = 850(0.96)*, where t is the time in years and N(C) is the number of bears.
Which statement explains how the bear population is changing?
A. The population is decreasing by 4% per year.
B. The population is increasing oy voro per year.
C. The population is increasing by 4% per year.
D. The population is decreasing by 96% per year.
The statement that explains how the bear population is changing is A. The population is decreasing by 4% per year.
How to determine the change in the populationFrom the question, we have the following parameters that can be used in our computation:
N(t) = 850(0.96)^t
The rate factor of the above function is
Rate factor = 0.96
This is less than 1
So, we have
Rate = 1 - 0.96
Evaluate
Rate = 4%
Hence, the rate is 4%
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Isha is a pet sitter.
She earns $5 for each cat.
She earns $12 for each dog.
Last week, Isha pet sat for 11 cats and 7 dogs.
How much money did Isha earn pet sitting last week?
139
because you do 5 dollars times 11 cats equals 55 and 12 dollars times 7 dogs equals 84 add it together is 139
PLEASE HELP WILL GIVE BRAINLIEST!!!!
proof attached in image !!
The proof that ∠B ≅ ∠C is:
D is the midpoint of of BC - Given...................(1)
Thus
BD = DC ................................................................(2)
∠EDC ≅ ∠FDB - Given......................................(3)
DE ⊥ AB - Given...................................................(4)
DF ⊥ AC - Given ..................................................(5)
∠AED = ∠DEB = 90° - perpendicular bisector theorem ....(6)
∠AFD = ∠DFC = 90° - perpendicular bisector theorem ....(7)
∠EAF = ∠EDF = 90° - Properties of the angles of a Quadrilateral
Since ∠EDC ≅ ∠FDB, as in (3) above, and
Both comprise of ∠EDF,
thus,
(∠EDC - ∠EDF) ≅ (∠FDB - ∠EDF)
Since
∠EDB = (∠FDB - ∠EDF); and
∠FDC = (∠EDC - ∠EDF)
Thus,
∠EDB ≅ ∠FDC
thus,
∠EDB = ∠FDC = 45° (Sum of Angles on a Straight line) that is
∠EDB = ∠FDC = (180° -∠EDF)/2
Since ∠EDF = 90°
∠EDB = ∠FDC = (180° -90°)/2
∠EDB = ∠FDC = 90/2
∠EDB = ∠FDC = 45°
Since
∠DEB = 90° (5); and
∠DFC = 90° (7)
ΔBED ≅ ΔDFC
Thus, by Sum of Angles in a Triangle,
∠B ≅ ∠C.
The perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of the segment.The sum of angles theorem, also known as the triangle sum theorem, states that the sum of the interior angles of a triangle is always 180 degrees.The angles on a straight line theorem states that the sum of the angles formed by a straight line is always 180 degrees.The properties of the angles of a quadrilateral are: the sum of the angles is always 360 degrees, opposite angles are equal, and adjacent angles add up to 180 degrees.
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Define an operation \# for positive real numbers by a#b=ab/a+b. What is the value of 8#(8#8) ? (A) 1/2 (B) 8/3 (C) 4 (D) 16 (E) None of these
The value of 8#(8#8) is (A) 1/2
An operation \# for positive real numbers is defined by the equation a#b=ab/a+b. The value of 8#(8#8) is (A) 1/2. To solve, use the equation given:
8#(8#8) = (8*8)/(8+8)
= 64/16
= 1/2
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The amount of radioactive element remaining, r, in a 100-mg sample after d days is represented using the equation . What is the daily percent of decrease?
The daily percent οf decrease is 12.94%.
Sο the cοrrect οptiοn is: 12.94%.
What is the percentage decrease?Percentage decrease is the percentage by which a quantity οr value has decreased cοmpared tο its οriginal οr previοus value. It is calculated by taking the difference between the οriginal value and the new value, dividing that difference by the οriginal value, and then multiplying by 100 tο cοnvert the result intο a percentage. The fοrmula fοr percentage decrease is:
Percentage decrease = [(Original value - New value) / Original value] x 100%
The fοrmula fοr the amοunt οf radiοactive element remaining, r, in a 100-mg sample after d days is given as:
[tex]r = 100(1/2)^{(d/5)[/tex]
Tο find the daily percent οf decrease, we need tο find the difference between the amοunt οf the element at the start οf a day and the amοunt at the end οf that day, and then express this as a percentage οf the starting amοunt.
Let's assume that we start with 100 mg οf the radiοactive element. After οne day, the amοunt remaining is:
[tex]r = 100(1/2)^{(1/5)[/tex] ≈ 87.06 mg
The difference between the starting amοunt and the amοunt at the end οf the day is:
100 - 87.06 = 12.94
Tο express this as a percentage οf the starting amοunt, we divide this difference by the starting amοunt and multiply by 100:
12.94/100 * 100% = 12.94%
Therefοre, the daily percent οf decrease is 12.94%.
Sο the cοrrect οptiοn is: 12.94%.
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Let A(0,4,2), B(2,22,9), C(3,-2,0) and D(0,1,2) be 4 points in
R'3. Find the plane such that both AB and BC lying on it. Hence,
Find the distance between the plane r and the point D(0,1,2).
-6x+25y+66z=232 is the equation of the plane and distance between the point D and the plane is 157/70.
lets find the equation of the line AB and BC and equations of the lines will be of the form
[tex] \text{ $\frac{x-a}{l}$ = $\frac{y-b}{m}$ = $\frac{z-c}{n}$ } [/tex]
So, the equation of AB is
[tex] \text{ $\frac{x}{2}$ = $\frac{y-4}{18}$ = $\frac{z-2}{7}$ } [/tex]
So, the equation of AB is
[tex] \text{ $\frac{x-3}{-1}$ = $\frac{y+2}{24}$ = $\frac{z}{9}$ } [/tex]
let b1 andb2 are the direction vectors of the two above lines.
b1= 2i + 18j + 7k
b2= -1i + 24j + 9k
now n= Det( i j k)
2 18 7
-1 24 9
or, n= -6i + 25j + 66k
the point (0,4,2) lies on the plane. the equation of the plane passing through (0,4,2) and perpendicular to a line with a direction ratio (-6, 25, 66) is
-6x+25(y-4)+66(z-2)=0
or, -6x+25y+66z=232.
now formula of distance between the point (x0,y0,z0) and the plane is
[tex] \frac{Ax0+By0+Cz0+D}{√A^2+B^2+C^2} [/tex]
so for the point D and the plane is
( -6*0 + 25*1 + 66*2 - 132)/√5017 = 157/70.
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Use the commutative and associative properties to simplify the expression. (7+a)+7
The simplified expression is 14+a.
Using the commutative and associative properties, we can simplify the expression (7+a)+7.
First, let's use the commutative property to rearrange the terms. The commutative property states that the order of addition or multiplication does not matter. In other words, a+b = b+a and a*b = b*a.
So, we can rearrange the terms in the expression to get:
(7+7)+a
Next, let's use the associative property to simplify the expression. The associative property states that the way we group terms in an addition or multiplication problem does not matter. In other words, (a+b)+c = a+(b+c) and (a*b)*c = a*(b*c).
So, we can group the terms in the expression to get:
14+a
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Rectangle PQRS is plotted on a coordinate plane. The coordinates of P
are (-1, -3) and the coordinates of Q are (-1, 2). Each unit on the
coordinate plane represents 1 centimeter, and the perimeter of
rectangle PQRS is 20 centimeters. Find the coordinates of points R and
S given these conditions:
a) Points R and S are to the left of points P and Q.
PLS HELP I NEED IT TO HE SMPLE
[tex]PQ = 2 - (-3) = 2 + 3 = 5 \ cm[/tex]
[tex]RS = PQ \implies RS = 5 \ cm[/tex]
the perimeter of rectangle PQRS is 20 centimeters ⇒
[tex]QR = SP = 5 \ cm[/tex]
⇒ PQRS is square
[tex]x_{R} = x_{Q} - 5 = -1-5 = -6[/tex]
[tex]y_{R} = y_{Q} = 2[/tex]
[tex]\implies R(-6,2)[/tex]
[tex]x_{S} = x_{R} = -6[/tex]
[tex]y_{S} = y_{P} = -3[/tex]
[tex]\implies Q(-6,-3)[/tex]