All categories

3 years ago

Fill in the blank to make equivalent rational expressions?

Mathematics

1 answer:

maks197457 [2]3 years ago

6 0

Answer:

4(w - 9) or 4w - 36

Step-by-step explanation:

$\frac{4}{w + 3} = \frac{\alpha}{(w - 9)(w + 3)} \\\\ \alpha(w + 3) = 4(w - 9)(w + 3) \\\ \alpha = 4(w - 9)$

I hope I've helped you.

You might be interested in

Need help please help

professor190 [17]

153.9 inches is the correct answer

5 0

3 years ago

Read 2 more answers

What is the approximate length of the diagonal of a square with side length of 20 centimeters

zhuklara [117]

Answer:28.28 cm

Explanation:

a² + b² = c²

20² + 20² = c²

c² = 400 + 400

c² = 800

c = √800

c = 28.28 cm

5 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (-6, -2) and

den301095 [7]

Answer:

The equation of line is: $\mathbf{4x-3y=-18}$

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?

The equation of line in slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-6,y_1=-2, x_2=-3, y_2=2$

Putting values and finding slope

$Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}$

So, we get slope: $m=\frac{4}{3}$

Finding y-intercept

Using point (-6,-2) and slope $m=\frac{4}{3}$ we can find y-intercept

$y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6$

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope $m=\frac{4}{3}$ and y-intercept b = 6 is

$y=mx+b\\y=\frac{4}{3}x+6$

Now transforming in fully reduced form:

$y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18$

So, the equation of line is: $\mathbf{4x-3y=-18}$

6 0

2 years ago

Are the locations of earthquakes reelated to one another? Why?

scZoUnD [109]

It depends, not exactly, because the techtonic plates aren't connected.

6 0

3 years ago

The submarine is underwater. It’s position is 645 feet below sea level. It rises in the water 100 feet and then descends 100 fee

kolbaska11 [484]

Hello!

This submarine rose 100 feet (+100) and then descended (-100). Usually in an equation this would cancel out and make 0. Therefore, our answer is 0.

I hope this helps!

5 0

3 years ago

Read 2 more answers