Answers
[tex]-\displaystyle\frac{4}{3}[/tex]
Step-by-step explanation:Slope describes the change in y divided by the change in x.
Solving Using Slope Formula
One way to find slope when you are given 2 points is the slope formula.
Slope = [tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]To solve, plug in the x and y-values and simplify. For this question, let (-2, 3) represent the (x₂, y₂) and (1, -1) represent (x₁, y₁).
[tex]\displaystyle\frac{3-(-1)}{-2-1}=-\frac{4}{3}[/tex]This shows that the slope of this line is -4/3.
Solving Through Counting
When given the graph of a function, you can also count out the slope. Starting from the left point, count the change in y-values and the change in x-values. Remember, when the y-values decrease, the change should be negative. The y-value changes by -4 and the x-value changes by +3.
Since the slope is change in y over change in x, the slope is -4/3.
Related Questions
kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. what is the perimeter of the triangle if x
Answers
The perimeter of the triangle is 40 feet .
Kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) and x = 4
Now , According to the question:
Let the sides of triangle be a , b , c
a = 3x -4
b = x^2 -1
c = 2x^2 - 15
x = 4
Substitute the value of x in a, b , c
a = 3 × 4 -4 = 8 feet
b = 4 × 4 -1 = 15 feet
c = 2× 4× 4 - 15 = 17 feet
The perimeter of the triangle is sum of all sides
then, a + b + c
= 17 + 15 + 8 = 40 feet
Hence, The perimeter of the triangle is 40 feet .
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Torvald uses an equation to produce the following table of
ordered pairs:
X
-2
0
y
-7
-3
1
5
Which equation describes this list?
24
Answers
Answer:
x + 4
For the equation to be true, you have to input the x value and it should give you the y value that corresponds. For example, we will input -2. Hopefully we get -7
-2 + 4
2
this means that x + 4 is not correct.
What about -3x? lets see
-3(-2)
-6
nope!
2x - 3
2(-2) - 3
-4 - 3
-7!!
2x - 3 is the answer!!
Step-by-step explanation:
Evaluate 1+(-2/3)-(-m) where m =9/2
Answers
Answer:
Step-by-step explanation:
1+(-2/3)-(-9/2)\
1-2/3+9/2
29/6
Simplify the following numerical expressions. |-7| - 7 = 2|-7| = (-7)2 = -72 = -7 -|-7| =
Answers
the answer of all the 5 expressions is given as : 0, 14, 49, -49, -14 respectively.
What is mathematic expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Here the given expression are :
1) |-7| - 7 :
now, here considering the modulus value of -7 as 7 that is positive only :
|-7| - 7 = 7-7 = 0
2) 2|-7| = 2x 7
2|-7| = 14
3) (-7)² = -7 x -7 = 49
4) -7² = -(7 x 7) = -49
5) -7 -|-7| = -7 - 7 = -14
it should be noted that we have considered only positive value of modulus function only.
Therefore, the answer of all the 5 expressions is given above.
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Find the volume of the figure
Answers
Answer: 5 m³
Step-by-step explanation:
We will break the figure into two different parts.
Volume of a rectangular prism can be found with V = L * W * H
V = L * W * H
V = (2 m) * (1.5 m) * (1.5 m)
V = 4.5 m³
-
V = L * W * H
V = (2 m) * (2 m - 1.5 m) * (0.5 m)
V = 0.5 m³
Now, we will add them together.
4.5 m³ + 0.5 m³ = 5 m³
Answer:
5m³
Step-by-step explanation:
Hello!
You can picture this rectangular prism as a whole prism with a part removed.
The dimensions of the whole prism are 1.5m, 2m, and 2m.
The part cut out is 1m, 0.5m, and 2m.
We can find the volume of the whole rectangular prism and subtract the volume of the removed part.
Find the volume(1.5 * 2 * 2) - (1 * 0.5 * 2)6 - 15Since the units of length are meters, the volume should be represented as meters³. The volume is 5m³.
Help?? The answer isn't -1026 btw i already guessed :(
Answers
Answer:
153
Step-by-step explanation:
12² - 3 [ 4([tex]\frac{1}{4}[/tex] - [tex]1^{8}[/tex] ) ] ← evaluate the inside part of the bracket
= 144 - 3 [ 4([tex]\frac{1}{4}[/tex] - 1) ]
= 144 - 3 [ 1 - 4 ]
= 144 - 3(- 3)
= 144 + 9
= 153
matthew wants to estimate the mean number of sales from l'oreal makeup ads. he records the number of sales from 100 randomly selected l'oreal makeup ads. what is the population?
Answers
The population is the ads selected.
What is a population?A population is a distinct group of individuals, animals, or objects that can be distinguished from one another for the purposes of data gathering and analysis in statistics and other branches of mathematics.
Now,
In the given number of sales from 100 randomly selected L'oreal Makeup ads,
The population is all the ads that are being selected for the sales, as it satisfies the definition of Population.Hence, the population is the ads selected.
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HELP MEEE PLEASEEEEEEEE
Answers
Answer:
the answer is blank, don't type anything in just f a I l
Three times a number k minus 5/3 is no more then 4/9
Answers
Answer:
right that is good try hard
Answer:
( 3 * k ) - [tex]\frac{5}{3}[/tex] [tex]\leq[/tex] [tex]\frac{4}{9}[/tex]
Hope this helps.
Step-by-step explanation:
a fair six-sided die is rolled twice. what is the probability of getting 2 on the first roll and not getting 4 on the second roll?
Answers
The probability of getting 2 on the first roll and not getting 4 on the second roll is 5/36.
The two events mentioned are independent.
Given, first event getting 2 on the first roll and second event getting 4 in second roll.
So, the first roll of the die is independent of the second roll.Therefore, the probabilities can be directly multiplied.
P (getting first 2) = 1/6
P (no second 4) = 5/6
Therefore P (getting first 2 and no second 4) = 1/6 x 5/6 = 5/36
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The perimeter of Figure 1 is four times a number minus three.
The perimeter of Figure 2 is two times the same number plus five. The perimeters
of Figure 1 and Figure 2 are the same.
a. Write an equation to find the number.
b. Solve the equation to find the number.
c. What is the perimeter of Figure 2? Explain.
d. Find the perimeter of Figure 1. Compare the perimeter of Figure
perimeter you found for Figure 2 to justify the value of k is correct.
Answers
The answers to all the subparts are:
(A) The number will be found using the equation 4x-3 = 2x +5.(B) We obtain a value of 4 after solving the equation.(C) Figure 2's perimeter will be equal to 13.What is the circumference?The perimeter of a shape is the distance around its edge.So, there have been two figures provided.
Figure 1's perimeter is four times a number minus three, whereas Figure 2's perimeter is two times the same number plus five.Based on the data provided, we must solve the given subparts of the question.Let x be the number.
Figure 1's perimeter will be equal to 4x - 3.Figure 2's perimeter will be equal to 2x + 5.(A) According to the question, the perimeters of both figures are equal.
As a result, the equation will be:
4x-3 = 2x+5(B) By solving the equation:
4x -3 = 2x + 54x-2x = 3 + 52x = 8x = 4As a result, the answer is 4.
(C) Figure 2 perimeter = 2x + 5
= (2 × 4) + 5= 13As a result, the perimeter of figure 2 equals 13.
Therefore, the answers to all the subparts are:
(A) The number will be found using the equation 4x-3 = 2x +5.(B) We obtain a value of 4 after solving the equation.(C) Figure 2's perimeter will be equal to 13.Know more about equations here:
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I need help on number 4
Answers
Reason:
There are two mountain peaks, which show the two modes (at 0.27 and 0.31). Therefore, this data set is bimodal.
The data set is also symmetric because of the mirror line at 0.29; stuff to the left of 0.29 can be reflected over the mirror line to get the stuff on the right side.
We can rule out choice A since the curve doesn't represent a normal distribution. A normal distribution has exactly one mode only.
Choice C is ruled out because a skewed distribution isn't symmetric, and vice versa.
The data set isn't uniform since all stacks of points aren't the same height. This rules out choice E.
orthogonality on a circle suppose that ab is the diameter of a circle with center o and that c is a point on one of the two arcs joining a and b. show that ca⇀ and cb⇀ are orthogonal.
Answers
It is proved that ca⇀ and cb⇀ are orthogonal .
Let AO = - u vector , OB = u vector and OC = α vector .
According to question ,
u * u = v * v = r ^ 2 and
AC vector = AO vector + OC vector = u + v
BC vector = BO vector + OC vector v - u ,
Applying dot - product ,
( AC vector ) . ( BC vector ) = ( v + u ) . ( v - u )
= ( v . v ) - ( u . u )
= ( r ^ 2 ) - ( r ^ 2 )
= 0
Hence , AC and BC are orthogonal .
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Which is traveling faster, the car or the train? be prepared to explain your reasoning.
Answers
This warm-up serves two purposes. It refreshes the concept of distance, rate, and time of travel from grade 6, preparing students to use scale drawings to solve speed-related problems.
It also allows students to estimate decimal calculations.
Students are likely to approach the question in a few different ways. As students work, notice students using each strategy.
By finding or estimating the speed of the train in miles per hour and comparing this to the speed of the car
By finding the distance the car travels in 4 hours and comparing it to the distance the train travels in 4 hours
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Given that (-7, 2) is a point on a circle centered at (0, 2), which equation represents the circle?
Answers
If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]
Given,
Center of the circle = (0,2)
One point on the circle = (-7,2)
First we have to find the distance between the center and the given point
that is the radius of the circle.
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} } \\d=\sqrt{(0+7)^{2}+(2-2)^{2} } \\d=\sqrt{49}[/tex]
d= 7 units
The standard equation of the circle
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
Substitute the values in the equation
[tex](x-0)^{2}+(y-2)^{2}=7^{2} \\x^{2} +(y-2)^{2}=49[/tex]
Hence, If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]
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Answer:
Step-by-step explanation:
what's 4,1 rotated 270 clockwise?
Answers
Answer:
should be -1,4
Step-by-step explanation:
a tiny but horrible alien is standing at the top of the empire state building (which is 443443443 meters tall) and threatening to destroy the city of new york! a men in black agent is standing at ground level, 181818 meters across the street, aiming his laser gun at the alien. at what angle, in degrees, should the agent shoot his laser gun?
Answers
The angle for shooting laser gun should be 89.98°.
The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).
Writing the formula for tan theta, that relates the given height and distance
Now, tan θ = vertical height ÷ horizontal distance
Keep the values in above mentioned equation of theta to find the angle.
tan θ = [tex]\frac{443443443}{181818}[/tex]
Performing division to find the tan theta and subsequently calculate the angle
tan θ = 2438.94
θ = tan⁻¹ 2438.94
Calculating tan inverse to find the value of theta
θ = 89.98°
Therefore, the angle for shooting laser gun by a men in black agent should be 89.98°.
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5/3 in decimal form
Algebra 1 question
Answers
Answer:
1.66...
Step-by-step explanation:
5/3=
5 * 1/3=
5 * 0.33...=1.66... ==> with bar on top of the 6
there are eight friends each friend wants five gummy bears and there are nine gummy bears and each box how many boxes will they need
Answers
At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
What is Division by Sharing?
A technique used to introduce the idea of division is sharing equally. It entails dividing a sum equally across groups, one at a time, until each group has the same amount. When teaching division by sharing, physical objects like counters are frequently used.let the number of gummy bears bag = x
9x/8 = 5
9x = 40
x = 4.4
Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
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6. James and his
friend both started
a part-time job at
the Swimming Hole
earning $8.50 per
hour. James
worked 10 1/2
hours
his first week.
James agreed to
pay his friend $8.25
of his salary for
reimbursement of
gas. How much
money will James
have left after he
pays his friend for
gas?
Answers
The amount that James left has left after paying his friend 10% is; $80.325
How to Solve Algebra Word Problems?We are told that James and his friend both earn $8.5 per hour. Thus;
Amount earned by James per hour = $8.5
Amount earned by the friend per hour = $8.5
Total time James works in his first week = 10 ¹/₂ hours
Now, James agreed to pay his friend 1/10 of his salary
Thus, amount that James earned is;
10.5 * 8.5 = $89.25
Thus, amount he has left after paying his friend 10% is;
(100% - 10%) * $89.25 = $80.325
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26 Mr Hussain buys 13 kg of onions, 3½ kg of potatoes and
7 kg of cabbage. What total mass does he carry home?
Answers
Answer:
23.5kg
Step-by-step explanation:
the total mass of the things he bought is what we are asked to find.
13kg of onions+3.5kg of potatoes+7kg of cabbage is the total mass he carried home.
=23.5kg
Tulong bukas na deadlinee plss
Answers
Answer:
I don't know it like off
Systems by elimination
2x - y = 2
-8x + 4y = −8
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
Let's solve your system by elimination.
2x−y=2;−8x+4y=−8
Multiply the first equation by 4,and multiply the second equation by 1.
4(2x−y=2)
1(−8x+4y=−8)
Becomes:
8x−4y=8
−8x+4y=−8
Add these equations to eliminate x:
0=0
PLEASE HELP.. Sharlene purchased a new truck, whose value over time depreciates. Sharlene's truck depreciates according to the function y = 46,638(0.78)x, where x represents the number of months since the truck was purchased. What is the range of the exponential function y based on its equation and the context of the problem?
A. y ≥ 0
B. y < 46638
C. 0 < y ≤ 46638
D. ℝ
Answers
Using it's concept, the range of the given exponential function is:
C. 0 < y ≤ 46638.
What is the range of a function?The range of a function is the set that contains all possible output values for the function.
In this problem, the function is:
y = 46,638(0.78)^x.
It is an exponential function with initial value 46,638 and rate of change 0.78. Exponential functions that are not shifted down, such as this one, are never negative nor zero, hence the range also has the restriction y > 0, and is given by:
C. 0 < y ≤ 46638.
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7. The histogram represents the distribution of the number of seconds it took
for each of 50 students to find the answer to a trivia question using the
internet. Which interval contains the median? (Lesson 1-3)
22
24
20
18
16
14
12
10
8
6
4
5 10 15
Time (seconds)
(A) 0 to 5 seconds
B.) 5 to 10 seconds
10 to 15 seconds
20 25 30
15 to 20 seconds
Answers
Answer: B
Step-by-step explanation:
A right-angled triangle and a parallelogram are shown b
13 cm
h
6 cm
The area of the parallelogram is 4 times the area of the
The perpendicular height of the parallelogram is hcm.
Find the value of h.
Answers
A= 1/2 x6 x 13 = 3 x 13 =39 square
Area of the parallelogram is
39=156cm square
156 divided by 12
H=13
The height h will be equal to 13 cm for the parallelogram.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.
Given that a right-angled triangle and a parallelogram are shown b
13 cm and 6 cm. The area of the parallelogram is 4 times the area of the right angle.
The height h will be calculated as,
A= 1/2 x6 x 13 = 3 x 13 =39 square
Area of the parallelogram is,
39=156cm square
156 divided by 12
h=13 cm
Therefore, the height h will be equal to 13 cm for the parallelogram.
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Bookmarks are on sale at a store: buy 4, get 1 free! A teacher
bought 47 bookmarks for their students. If each bookmark
costs $1.30, how much did the teacher spend on bookmarks?
LA
Enter the answer
Answers
Answer:
Step-by-step explanation:
$52.00
Find the slope of the line that passes through the given points.
(-4,3) and (9,-2)
m=
Answers
Answer:
m=-5/13
Step-by-step explanation:
(-4,3) and (9,-2)
y2-y1/x2-x1
-2-3/9+4
-5/13
Hope this helps!
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que es limite al infinito en calculo diferencial?
Answers
Which image displays a segment perpendicular to AC?
Answers
Answer:
B
Step-by-step explanation:
Image B displays a segment perpendicular to AC.
What is geometry?
Constructions are precise drawings of geometric shapes, angles, and lines. We'll need a pencil, a ruler (a straight-edge), and compasses to do this. The fundamental constructions are the perpendicular bisector and the angle bisector.
Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
If two geometric objects intersect at a right angle, they are perpendicular. The perpendicular symbol can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes.
In image B, the bisector BD is dividing the line AD into two equal halves.
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