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3 years ago

Which expression is equivalent to c^2 - 4 / c + 3 /

Mathematics

1 answer:

Ivan3 years ago

4 0

Step-by-step explanation:

$\frac{ {c}^{2} - 4 }{c + 3}$

$\frac{(c - 2)(c + 2)}{(c + 3)}$

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Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step

viva [34]

Answer:

In step 2, she didn’t use an x and y from the same coordinate pair

Step-by-step explanation:

see the attached figure to better understand the problem

we have the points (5, 1) and (3, 5)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-1}{3-5}$

$m=\frac{4}{-2}$

$m=-2$

step 2

The equation of the line in point slope form is

$y-y1=m(x-x1)$

take the point (3,5)

$m=-2$

substitute

$y-5=-2(x-3)$

$y-5=-2x+6$

$y=-2x+6+5$

step 3

$y=-2x+11$

therefore

In step 2, she didn’t use an x and y from the same coordinate pair

3 0

3 years ago

Read 2 more answers

Are the ratios 25/45 and 15/27 proportional? Explain.

liberstina [14]

Write them out as a fraction then reduce them. If theyre the same then its proportional.

25/45 can be cancelled down to 5/9

15/27 can be cancelled down to 3/9

So no theyre not.

6 0

3 years ago

Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi

Leya [2.2K]

Answer:

The length = The width = The height ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴ l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

7 0

3 years ago

"Sofia went on a road trip to visit her family. She first traveled from West Palm Beach to Fort Myers which is 108 miles away. T

m_a_m_a [10]

Answer:

Sofia went on a road trip to visit her family. She first traveled from West Palm Beach to Fort Myers which is 108 miles away. The next day, she drove to Miami for a distance of 135 miles. Finally, driving back home for 81 miles. Determine if the three towns on Sofia’s road trip form a right triangle. Which statement is correct?"

3 0

3 years ago

Factor by GCF<br> 2n2-8n3

ehidna [41]

-2n2 • (4n - 1). Hope this helped

3 0

3 years ago