Answer:
Perpendicular slope = – 1/m = -1/3 = -1/3
Step-by-step explanation:
Given the points
(-1,2)(-2,-1)[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=3[/tex]
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 3
perpendicular slope = – 1/m = -1/3 = -1/3
Thus, the slope of any line perpendicular to GH = -1/3
Find an expression which represents the sum of (-9x + 3y) and (-3x + 5y) in simplest terms.
Answer: -12x+8y
Step-by-step explanation:
Based on the given conditions, formulate: (-9x+3y)+(-3x+5y)
Determine the sign: -9x+3y-3x+5Y
Combine like terms: -12x+8y
PLEASE ANSWER QUICK!!!! use one of your new conjectures to find the indicated angle measures and expressions.
t + p = ___
Based on the exterior angle theorem, the indicated measures are: t + p = 135°.
What is the Exterior Angle Theorem?In a triangle where an exterior angle is formed outside the triangle by an extended side of the triangle, the exterior angle theorem states that the measure of this exterior angle must be equal to the sum of the two interior angles that are directly opposite this exterior angle.
Angle t and angle p are interior angles of the triangle that are opposite the exterior angle that measures 135 degrees.
This implies that: the sum of angles t and p would be equal to 135 degrees.
Therefore, based on the exterior angle theorem, the indicated measures are: t + p = 135°.
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Greg must choose a number between 67 and 113 that is a multiple 4,6 of and 9 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.
A number between 67 and 113 which is a multiple 4, 6 and 9 is 108
In this question, Greg must choose a number between 67 and 113 that is a multiple 4, 6 and 9.
We need to find the numbers which follow above conditions.
First we find the numbers between 67 and 113 that is a multiple 4.
68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112
the numbers between 67 and 113 that is a multiple 6 are:
72, 78, 84, 90, 96, 102, 108
the numbers between 67 and 113 that is a multiple 9 are:
72, 81, 90, 99, 108
We can observe that a common number between 67 and 113 which is a multiple 4, 6 and 9 is 108
Therefore, a number between 67 and 113 which is a multiple 4, 6 and 9 is 108
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18+6/3•2
Ik it’s easy
Answer:
4
Step-by-step explanation:
First let's begin at the top of the fraction, 18+6
18+6
24
Now let's look at the bottom of the fraction, 3*2
3*2
6
We now have 24/6, so we will simplify the fraction to get our answer by dividing 24 by 6
24/6
4
I don't really understand this, how to set it up etc and i cant figure out how to get the actual answer. Im sorry i make no sense
Answer:
i also can't at all
Step-by-step explanation:
This is hard for me
You want to put a 2 inch thick layer of topsoil for a new 20 ft by 24 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
3.0 CUBIC YARDS I WILL NEED TO ORDER TO PUT A 2 INCH THICK LAYER OF TOPSOIL
HOW TO FIND VOLUME OF SOIL ?As a result, the problem gives you the volume of the space you are trying to fill with soil ( 20ft by 24ft by 2 in). Let's measure everything in feet first, and then we can measure the volume in yards. You may acquire a volume of approximately (rounding to two decimal places)80.00 cubic feet by converting 2 inches to feet, or 2/12. Then, to obtain your volume, multiply that by 20 times 24. Since there are 3 feet in 1 yard, we divide this volume in yards by 3, giving us 3.0 cubic yards. You will need 3.0 cubic yards if the business only sells in 1/4 cubic yard increments.
CALCULATIONV = (20')(24')(2'/12)
V = 80f[tex]t^{3}[/tex]
1 [tex]yd^{3}[/tex] = 27 [tex]ft3[/tex]
80[tex]ft3[/tex] / 27[tex]ft3[/tex] ≈ 3.0
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The difference between two numbers is 69. Four times the smaller is equal to 3 more than the larger. What are the numbers?
smaller number = y
larger number = x
x - y = 69
4y = x + 3
you can solve this using substitution
x = 69 + y
(isolating one of the variables)
4y = 69 + y + 3
(substituting 69 + y for x into the other equation)
4y = 72 + y
3y = 72
y = 24
(simplify)
x - 24 = 69
x = 93
(substituting 24 into one of the original equations)
PV = nRT Solve for R
Answer: R=PV/nT
Step-by-step explanation:
PV=nRT
divide both sides by nT
PV/nT =nRT/nT
R=PV/nT
i hope this was helpful
The given equation solved for R has R=PV/nT.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is PV=nRT.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, R=PV/nT
Therefore, the given equation solved for R has R=PV/nT.
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Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
36,12,4,...
=================================================
Reason:
Divide each term by its previous term
12/36 = 1/3
4/12 = 1/3
We get the same result each time, and that result is the common ratio. It says to multiply each term by 1/3 to get the next term
36*(1/3) = 12
12*(1/3) = 4
What is the step by step formula for figuring out a home mortgage?
The step by step formula for figuring out a home mortgage is given by the equation: M = P [ i (1 + i )ⁿ ] / [ (1 + i )ⁿ - 1]
A standard mortgage payment means paying back your loan amount and any interest that the bank stated at the time of giving the loan.
It can also include taxes and insurance with your monthly mortgage rate, but this can be calculated separately.
The equation takes into account your total loan payment with the monthly interest rate and the length of time you have to pay off your loan that is the time period. It gives you a fixed monthly mortgage rate.
Therefore, the step by step formula for figuring out a home mortgage is given by the equation: M = P [ i (1 + i )ⁿ ] / [ (1 + i )ⁿ - 1]
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Refer to Figure 2.8 and look at the listing for Home Depot.
Required:
a. Assuming that the table gives today's prices, what was the firm's closing price yesterday? (Round your answer to 2 decimal places.)
b. How many shares could you buy for $5,000? (Round your answer to the nearest whole number.)
c. What would be your annual dividend income from those shares? (Round your answer to 2 decimal places.)
d. What must be Home Depot’s earnings per share? (Round your answer to 2 decimal places.)
Find the radius of a circle that has an area of 121 pi ft2.
Answer: 11
Step-by-step explanation:
area = 121 pi = pi r^2 Divide both sides by pi
121 = r^2
r= 11
5) What is the value of "fifteen squared"?
Answer:
225
Step-by-step explanation:
To square a number, you simply multiply it by itself.
15² = 15 · 15 = 225
Helpppp pls now asap
A monthly magazine charges $38 for a one year subscription (12 issues).
What is the cost for each issue? (Round to the nearest cent)
Answer:
3.17 I believe
Step-by-step explanation:
you have to divide $38 by 12 (the amount of issues), and by doing that you get 3.166666666, but it says round to the nearest cent so it'll be 3.17
Felicia decided to invest $17,000 of her retirement fund
what is the limit of the equation?
answer:
[tex] \frac{6}{5} [/tex]
7+8n=71, what does N equal in the problem?
n2-8n+7=0. hope this help
Answer:
7 + 8(8) = 71
1) 8x8=64
2) 64+7
N=71
lol
Apply
5. The table shows the number of Calories José and Natalie
burned after 1, 2, and 3 minutes of running. Graph the
relationship between the number of minutes running and
the number of Calories burned for each person. By which
ordered pair is a unit rate represented?
Calories Burned
X
Time (min)
0
1
2
3
José
0
8
15
23
Natalie
0
5
10
15
Number of Calories
40
30
20
10
0
y
Calories Burned
The second pair represent a unit rate. And the graph is shown.
An ordered pair is a pair made up of two parts that are written inside parantheses and are separated by commas. For instance, the ordered pair (x, y) denotes an ordered pair where "x" is the first member and "y" is the second element. These elements, which can either be variables or constants depending on the context in which they are used, have distinct names.
In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).
When describing a point's location on the coordinate plane with respect to the origin, a coordinate geometry ordered pair is employed.
Hence the graph is attached and the second pair represents the unit rate.
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Which two inequalities can be used to find the solution to this absolute value inequality?
The two inequalities that can be used to find the solution are x-1 < 3 and x-1 > -3.
The given inequality is 3 + 2|x-1| < 9.
The absolute value |x-1| can be (x-1) or -(x-1).
We need to solve this inequality for this two cases.
So first if |x-1| = (x-1), then,
3 + 2|x-1| < 9
⇒ 3 + 2(x-1) < 9
⇒ 2(x-1) < 6
⇒ x-1 < 3
⇒ x < 4 is the solution.
Now if |x-1| = -(x-1), then,
3 + 2|x-1| < 9
⇒ 3 - 2(x-1) < 9
⇒ -2(x-1) < 6
⇒ -(x-1) < 3
⇒ x-1 > -3 [When multiplied with (-1), the inequality reverses]
⇒ x > -2 is the solution.
Going through these steps, we can conclude that the two inequalities that can be used to find the solution to the absolute value inequality,
3 + 2|x-1| < 9 are x-1 < 3 and x-1 > -3.
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Answer this question please
Hillary buys a television on a twelve-month
installment plan. If each of her first 3 installments is
twice as much as each of her 9 remaining install-
ments, and her total payment is $600, how much is
her first installment?
A. $35
B. $40
C. $65
D. $80
Hilary's first installment is $80
What is linear equation in one variable?
Let x be any variable then ax + b = c b is an linear equation in one variable
where a, b, c are constants then we get solution for x as
x=(b-c)/a
Given that Hilary has bought a television on a twelve month installment plan let the installments be x₁, x₂, x₃, x₄,.......... , x₁₂
given x₁ = x₂ = x₃ = 2x₄=2x₅=2x₆=2x₇=2x₈=2x₉=2x₁₀=2x₁₁=2x₁₂
x₄=x₁/2=x₆=x₇=x₈=x₉=x₁₀=x₁₁=x₁₂
and x₁+x₂+x₃+x₄+.......+x₁₂= $600
Then we have got an linear equation in
x₁,
3x₁+9(x₁/2)=600
(6x₁+9x₁)/2=600
15x₁=1200
x₁=$80
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What is the answer to 11 = x/-5 + 8
Answer Formula: x = ?
Answer: x=-15
Step-by-step explanation:
11=x/-5+8
minus 8 on both sides
3=x/-5
multiply by -5 on both sides
x=-15
Answer:
x = -15
Step-by-step explanation:
Given: 11 = x/-5 + 8
We need to get x by itself to make a formula or get an answer
Step 1: Subtract 8 on both sides
We need to subtract 8 on both sides in order to cancel out the 8 on the right and bring it to the left
so, 11 -8 = x/-5 +8 -8 = 3 = x/-5
Step 2: Multiply by -5
We need to multiply by -5 in order to cancel our the -5 on the right and bring it to the left
so, 3*-5=x/-5*5 = -15 = x
Therefore, x = -15.
The Greens want to put an addition on their house 18 months from now. They will need to save $10,620 in order to achieve this goal. They set aside the same amount each month, and after a year discover they have saved $6,120. The Greens must adjust their plan in order to meet their goal, so they came up with the following options:Option A: Stay with saving the original amount each month but put the addition on one month later than originally plannedOption B: Increase the amount of money they save each month by $120 from their original plan.Which of the following statements is true?
A Only option A will allow them to meet their goal
B Only option B will allow them to meet their goal.
C Both options A and B will allow them to meet their goal.
D Neither option A nor option B will allow them to meet their goal.
Option D. From the question that we have here, we would have it that neither option A or option B would help the Green in order to meet up with the plan that they have.
How to compare the options they haveThe house they want to put an addition on is in 18 months. The amount to be saved is $10620, the total amount saved after a year = 6120
Remember that a year has 12 months, if they are only able to save the above in a year, then in 12 months they cannot meet with the saving target.
Increasing saving by 120 for 18 months = 120 x 18= $2160
This is still below the target.
Hence we would conclude by saying that Neither option A nor option B will allow them to meet their goal.
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help me please help helpfnfbdbdbdbdbdb
Answer: The location of P is -9
Step-by-step explanation:
What number is 56.5 % of 305
Answer:
172.63
Step-by-step explanation:
First let's write the problem as an expression
56.6% * 305
Let's convert 56.6 to a decimal
0.566% * 305
Now finish by multiplying
0.566% * 305
172.63
Simplify negative three fifths times m times quantity negative two sevenths times m minus one fourth end quantity.
A: 6 over 35 times m squared plus 3 over 20 times m
B: negative 6 over 35 times m squared minus 3 over 20 times m
C: 6 over 35 times m squared plus one fourth
D: negative 6 over 35 times m squared plus 3 over 20 times m
The required simplified value of the given expression is 6 / 35m² - 1/4. Option C is correct.
To determine the simplified value of the negative three-fifths times m times quantity negative two-sevenths times m minus one-fourth end quantity.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
negative three-fifths times m times quantity negative two-sevenths times m minus one-fourth can be interpreted as,
= -3/5m * - 2/7m - 1/4
= 6 / 35m² - 1/4
Thus, the required simplified value of the given expression is 6 / 35m² - 1/4. Option C is correct.
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write a number to represent the situation: A withdrawal of $36
The number which represents the situation of a withdrawal of $36 is -$36.
In this question, we have to find out the number or integer which represents the situation of a withdrawal of $36. This question is from integers topic and for that we should have the definition of integers in our mind. So, an integer is defined as number which can be represented without the fractional form. It contains whole numbers and negative of natural numbers. The integers are generally denoted by the symbol 'Ζ'. And, the integers can be negative or positive.
In this question we have asked withdrawal of $36 from any source. So, withdrawal basically means money will decrease, so it will become negative.
To represent a withdrawal of $36, we will use the negative sign.
Hence, -$36 is the correct representation of the situation of a withdrawal of $36.
Therefore, -$36 is the required answer.
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At a cost of $8 per pound, how many ounces of barley can be bought for $3.70?
At a cost of $3.70, we can buy 7.40 ounces of barley.
Given that,
Barley cost per pound = $8
To determine how many ounces of barley can be bought at a cost of $3.70.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
1 pound = 16 ounces
since 1 pound = $8
divide both the side by 16
1 / 16 pound = 8 /16
1 / 16 pound = $0.5
1 ounce = $0.5 cost
Now,
at 1$ = 2 ounces
multiply both sides by $3.70.
3.70 = 2*3.70 ounces
at $3.70 = 7.40 ounces
Thus, at a cost of $3.70, we can buy 7.40 ounces of barley.
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Can someone provide an example and counter example of a function ?
An example of a function is: The area of a square is a always a function of the length and width.
A counterexample of the function is: The area of a square is a function of the diagonal.
What is a function?This a term used in mathematics to represent a mathematical relations. This is usually of three parts: the inputs, the output, and the relationship between them.
In the example the sides of the square is the input, the area is the output while the formula is the relationship.
what is a counter example?Counter example is used to show a flaw in a mathematical statement where the conclusion is not in agreement with the statement.
In the given example providing a method of calculating area of squares using the diagonals counters the initial statement that has it that area of a square is a always a function of the length and width.
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