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3 years ago

In the parallelogram below, solve for X Options 4 10 25 100

Mathematics

1 answer:

Sever21 [200]3 years ago

7 0

Answer:

Step-by-step explanation:

The sides of a parallelogram are parallel, which means 25x and 100 are alternate angles and therefore equal.

25x=100

x=4

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3 years ago

Find the slope and the equation of the line tangent to f (x )equals StartFraction 2 x minus 1 Over x plus 7 EndFraction at x =

kondor19780726 [428]

Answer:

$y=\frac{5}{27} x-\frac{1}{27}$

Step-by-step explanation:

$f(x)=\frac{2x-1}{x+7}$

To find slope of f(x) at x=2, find the derivative f'(x)

apply quotient rule to find derivative

$f(x)=\frac{2x-1}{x+7}\\f'(x)=\frac{2(x+7)-1(2x-1)}{(x+7)^2} \\f'(x)=\frac{15}{(x+7)^2}$

f'(x) is the slope . Now find slope at x=2. plug in 2 for x

$f'(x)=\frac{15}{(x+7)^2}\\f'(2)=\frac{15}{(2+7)^2}=\frac{5}{27}$

find out f(x) when x=2

$f(x)=\frac{2x-1}{x+7}\\f(2)=\frac{2(2)-1}{2+7}=\frac{1}{3}$

Now frame the equation of the line

(2,1/3) slope = 5/27

$y-y_1=m(x-x_1)\\y-\frac{1}{3}=\frac{5}{27} (x-2)\\y-\frac{1}{3}=\frac{5}{27} x-\frac{10}{27}\\\\y=\frac{5}{27} x-\frac{1}{27}\\\\$

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3 years ago