Blank as 9 hundreds is 9 thousands

Each of the line segments in the word MATH are numbered in the graph below. Find the slope (as a ratio of rise over run) of each

emmasim [6.3K]

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-5 -(-8)}$

$slope = \frac{8 - 4}{-5 + 8}$

$slope = \frac{4}{3}$

9. Line 3 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-2 -(-5)}$

$slope = \frac{8 - 4}{-2 + 5}$

$slope = \frac{4}{3}$

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = $\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 2}$

$slope = \frac{7}{3}$

12. Line 6 = $-\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 8}$

$slope = \frac{7}{-3}$

$slope = -\frac{7}{3}$

13. Line 7 = 0

An horizontal line has no rise.

14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

5 0

2 years ago

At an important meet, Allyson won the women's 100 meters in 12.24 seconds. Find her average rate.

otez555 [7]

The rate is 8.17 meters per second

Further explanation:

In order to find the rate we have to divide the distance covered by the woman by the time she covered it in.

Given

$Distance=d=100\ meters\\Time=t=12.24\ sec\\So,\\Rate=\frac{d}{t}\\=\frac{100}{12.24}\\=8.17\ ms^{-1}$

The rate is 8.17 meters per second

Keywords: Speed, distance

Learn more about speed at:

#LearnwithBrainly

6 0

3 years ago

PLZ HELP, AND PLZ EXPLAIN

shutvik [7]

Answer:

C

Step-by-step explanation:

To make it easy let's start by organizing our information :

AC=12 AND BD=8
ABCD is a rhombus
K and L are the midpoints of sides AD and CD
we notice that the rhombus ABCD is divided into four right triangles

What do you think of when you hear a right triangle ?

The pythagorian theorem !

AC and BD are khown so let's focus on them .

If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?

Simply because they are the diagonals of a rhombus .

ow let's apply the pythagorian theorem :

(AC/2)² + (BD/2)² = BC²
6²+4²=52
BC²= 52⇒ $\sqrt{52}$ =BC

Now we khow that : AB=BC=CD=AD= $\sqrt{52}$

This isn't enough . Let's try to figure out a way to calculate the length of KL wich is the base of the triangle

KL is parallel to AC
k is the midpoint of AD and L of DC

I smell something . yes! Thales theorem

KL/AC=DL/DC=DK/AD WE4LL TAKE OLY ONE

KL/12= $\sqrt{52}$ /2* $\sqrt{52}$
KL/12=1/2⇒ KL=6

Now we have the length of the base kl

Now the big boss the height :

notice that you khow the length of KL
BD crosses kl from its midpoint and DL = $\sqrt{52}$ /2

What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D

DL²=(KL/2)²+D²
52/4= 9+ D²
D² = 52/4-9 +4 SO D=2

now the height of the trigle is H= BD-D= 8-2=6

NOw the area of the triangle is :

A=(KL*H)/2 ⇒ A= (6*6)/2=18

THE ANSWER IS 18 SQ.UN

5 0

2 years ago

I Think it’s A ...It’s my Final..Am I Right is it A?

vladimir1956 [14]

Answer:

yes, your right

Step-by-step explanation:

6 0

2 years ago

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 w

Liono4ka [1.6K]

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

$t = 5.0625$