4 years ago

Noelle used synthetic division to evaluate a function f(x) at 3, as shown

Mathematics

1 answer:

Harman [31]4 years ago

4 0

From the synthetic division, f(3) = 13

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A side length of a regular hexagon is 14 inches. What is the perimeter of the hexagon?

VikaD [51]

Answer:

84 inches

Step-by-step explanation:

A regular hexagon has 6 sides where all 6 sides are congruent meaning that each side is 14 inches.

Hence:

14*6=84

In Conclusion:

The perimeter of the hexagon is 84 inches.

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3 years ago

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What percent 50 is 16?

german

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Step-by-step explanation:

50% is half and half of 16 is 8.

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a map of South Carolina is being made to a scale of 1/2 inches equals 50 miles. Greenville is 230 miles from Myrtle beach. how f

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A line through the points $(2, -9)$ and $(j, 17)$ is parallel to the line $2x + 3y = 21$. What is the value of $j$?

lys-0071 [83]

Answer:

j=-37

Step-by-step explanation:

step 1

Find the slope of the given line

we have

$2x+3y=21$

Convert to slope intercept form

Isolate the variable y

subtract 2x both sides

$3y=-2x+21$

divide by 3 both sides

$y=-\frac{2}{3}x+7$

The slope is

$m=-\frac{2}{3}$

step 2

we have the points

(2,-9) and (j,17)

Find the slope

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

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

substitute

$m=\frac{17+9}{j-2}$

$m=\frac{26}{j-2}$

Remember that

If two lines are parallel then their slope are equal

therefore

$\frac{26}{j-2}=-\frac{2}{3}$

$26(3)=-2(j-2)\\78=-2j+4\\2j=4-78\\2j=-74\\j=-37$

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3 years ago