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4 years ago

What is the slope of the line through (-9,6) and (-6,-9)

1 answer:

7 0

$\text{The slope formula:}\ m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have:}\\(-9;\ 6)\to x_1=-9;\ y_1=6\\(-6;\ -9)\to x_2=-6;\ y_2=-9\\\\\text{substitute:}\\\\m=\dfrac{-9-6}{-6-(-9)}=\dfrac{-15}{-6+9}=\dfrac{-15}{3}=-5$

Answer: m = -5

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Please answer all of them with a clear answer

balu736 [363]

See below for the solution to the questions

<h3>The parallel side of the trapezoid</h3>

The given parameters are:

Area = 138

a = 4x - 1

b = x - 4

Height = 12

The area is calculated as:

Area = 0.5 * (a + b) * height

So, we have:

0.5 *(4x - 1 + x - 4) * 12 = 138

This gives

5x - 5 = 23

Add 5 to both sides

5x = 28

Divide by 5

x = 5.6

Recall that:

a = 4x - 1 = 4 * 5.6 - 1 = 21.4

b = x - 4 = 5.6 - 4 = 1.6

Hence, the short base length is 1.6 meters and the long base length is 21.4 meters

<h3>The largest angle in the triangle</h3>

The sides are given as:

x = 22

y = 24

z = 25

The largest angle always opposite the largest side.

This means that the largest angle is Z

<h3>The Circumference</h3>

The radius is given as:

r = 29

The circumference is calculated as:

$C = 2\pi r$

So, we have:

$C = 2\pi *29$

Evaluate

C = 182.21

Hence, the circumference is 182.21 inches

<h3>Measure of angle from arc</h3>

The measure of the arc is given as:

$\theta = 69^o$

The angle LIK is calculated as:

$m\angle LIK = \frac{\theta}2$

So, we have:

$m\angle LIK = \frac{69^o}2$

Evaluate the quotient

$m\angle LIK = 34.5^o$

Hence, the measure of the angle is $m\angle LIK = 34.5^o$

Read more about triangle at:

brainly.com/question/2773823

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6 0

2 years ago

The graph of f(x)=√x is reflected over the y-axis. Use the graphing calculator to graph this reflection. Which list

Basile [38]

The list contains three points that lie on the graph of the reflection is (-49, 7), (-18, 9), (-1, 1).

<h3>What is graph reflection?</h3>

The graph of any function when mirrored on the same plane.

Given the graph of f(x)=√x is reflected over the y-axis. Use the graphing calculator to graph this reflection.

The points which can satisfy the reflection of the graph is (-49, 7), (-18, 9), (-1, 1).

Thus, the fourth option is correct.

Learn more about graph reflection

brainly.com/question/18765560

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2 years ago

To which place value Is the number rounded? 0.799 to 0.8

zavuch27 [327]

Since 0.8 is the tenths place, and it is rounded from .799, it is to the tenths place. If the answer was written as .80, it would be to the hundredths place, as that would specify more accuracy in this answer.

6 0

4 years ago

Point T is on line SU. Given ST= 2x+1, SU = 4x, and TU= 5x-4, determine the numerical length of ST

vredina [299]

The numerical length of the line segment ST is 3.

<h3>What is the numerical length of a line segment?</h3>

Herein we have a line segment formed by three points collinear to each other. Mathematically speaking, we find the following condition:

SU = ST + TU

4 · x = (2 · x + 1) + (5 · x - 4)

4 · x = 7 · x - 3

3 · x = 3

x = 1

And the numerical length of the line segment ST is:

ST = 2 · 1 + 1

ST = 3

The numerical length of the line segment ST is 3.

To learn more on line segments: brainly.com/question/25727583

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2 years ago

Find the roots of each equation by factoring

Aleksandr [31]

Answer:

x=2

Step-by-step explanation:

Solution is attached

You can plug 2 back into the equation to verify :)

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3 years ago