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lidiya [134]
4 years ago
11

Find the slope of the line through the points (-2, 5) and (3, -16)

Mathematics
1 answer:
lianna [129]4 years ago
7 0

Hello!

Step-by-step explanation:

<h2><u>Lesson: Exploring Slope and Slope-intercept form</u></h2>

Slope formula: \frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}

\frac{(-16)-5=-21}{3-(-2)=3+2=5}=\frac{-21}{5}=-\frac{21}{5}

<u><em>Therefore, the slope is -21/5</em></u>

<u><em>Answer is -21/5</em></u>

Hope this helps!

Thanks!

-Charlie

Have a great day!

:)

:D

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Find the volume of a pyramid with a square base, where the side length of the base is
ValentinkaMS [17]

Answer:

<h2>1529.4 m³</h2>

Step-by-step explanation:

Volume of a pyramid can be found by using the formula

v =  \frac{1}{3}  \times a \times h \\

a is the area of the base

h is the height

Since the base is a square we have

v =  \frac{1}{3}  \times  {15.3}^{2}  \times 19.6 \\  = 78.03 \times 19.6 \\  = 1529.388

We have the final answer as

<h3>1529.4 m³</h3>

Hope this helps you

3 0
3 years ago
Which statement could be used to conclude that this parallelogram is a rectangle
zheka24 [161]

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

so QS is congruent to TR satisfies this rule

so option number three is correct

6 0
3 years ago
What is the equation of the trend line?
Soloha48 [4]

Answer:

N=-2M+110

Step-by-step explanation:

we know that

The equation of the line in slope-intercept form is equal to

N=mM+b

where

m is the slope of the line

b is the N-intercept

In this problem we have

b=110

Find the slope

Let

A(20,70),B(0.110)

m=(110-70)/(0-20)=-2

substitute the values

N=-2M+110

8 0
4 years ago
Read 2 more answers
If a CONE has a DIAMETER of 10 centimeters and a Volume of 225 cubic centimeters, what is its approximate HEIGHT
ch4aika [34]

Answer:

The approximate height is 8.9 cm

Step-by-step explanation:

To find the height of a cone with a diameter of 10 cm and a volume of 225 cubic centimeter, we will follow the steps below;

first, write down the formula for finding the volume of a cone

v=πr²\frac{h}{3}

where v is the volume of the cone

r is the radius and h is the height of the cone

from the question given,

diameter = 10 cm   but       d=2r       this implies  that    r= \frac{d}{2}     r=   10/2   =    5cm

hence   r= 5cm

Also    v= 225 cm³

π  is a constant and is ≈ 3.14

We can now proceed to insert the values into formula and then solve for h

v=πr²\frac{h}{3}

225 ≈ 3.14 × 5² × \frac{h}{3}

225 ≈ 78.5 ×\frac{h}{3}

225 ≈ \frac{75.8 h}{3}

cross-multiply

675 = 75.8 h

divide both-side of the equation by 75.8

8.9 ≈ h

h≈ 8.9

Therefore, the approximate height is 8.9 cm

7 0
4 years ago
ANSWER ONLY IF YOU KNOW THIS IS LAST OH MY POINTS HELP ASAP.
NNADVOKAT [17]

Answer:

slope: -170

y-int: 1020

P.S. I made sure my answer was right by graphing the equation (y = -170x + 1020) on a calculator :)

Step-by-step explanation:

check picture

3 0
3 years ago
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