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3 years ago

Find the measure of the exterior angle.

Mathematics

1 answer:

ANEK [815]3 years ago

6 0

add the two angles withen the triangle and make that equal to the exterior angle

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Find lim x →0 f(2+h)-f(2)/h if f(x)=x^3

Usimov [2.4K]

Answer:

The value of the limit is 12.

Step-by-step explanation:

Small typing mistake, the limit is of h tending to 0.

We have that:

$f(x) = x^{3}$

Then

$f(2+h) = (2+h)^{3} = 8 + 12h + 6h^{2} + h^{3}$

$f(2) = 2^{3} = 8$

Calling the limit L

$L = \frac{f(2+h) - f(2)}{h}$

$L = \frac{8 + 12h + 6h^{2} + h^{3} - 8}{h}$

$L = \frac{h^{3} + 6h^{2} + 12h}{h}$

h is the common term in the numerator, then

$L = \frac{h(h^{2} + 6h + 12)}{h}$

Simplifying by h

$L = h^{2} + 6h + 12$

Since h tends to 0.

$L = 0^{2} + 6*0 + 12$

$L = 12$

So the answer is 12.

4 0

4 years ago

Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar. A jar of alphabet tiles conta

saw5 [17]

This equals 10C3 * 5C2
----------------
15C5

= 120 * 10
---------- = 1200/3003 = 400/1001
3003

6 0

3 years ago

Read 2 more answers

write the equation of the line that passes through (7,6) and (-1,2) in slope intercept form. please please help!

Lana71 [14]

Answer: y = $\frac{x}{2}$ + 2.5

Step-by-step explanation:

The formula for finding the equation is given as :

$\frac{y-y_{1} }{x-x_{1} }$ = $\frac{y_{2}-y_{1} }{x_{2}- x_{1} }$

From the points given:

$x_{1}$ = 7

$x_{2}$ =-1

$y_{1}$ = 6

$y_{2}$ = 2

Substituting into the formula , we have:

$\frac{y-6}{x-7}$ = $\frac{2-6}{-1-7}$

$\frac{y-6}{x-7}$ = $\frac{-4}{-8}$

$\frac{y-6}{x-7}$ = $\frac{1}{2}$

2(y-6) = x -7

2y - 12 = x -7

2y = x - 7 + 12

2y = x + 5

y = $\frac{x}{2}$ + $\frac{5}{2}$

y = $\frac{x}{2}$ + 2.5

5 0

4 years ago

Carly orders 6 pizzas for her birthday party if she invited 9 friends how much pizza will Carly and her friends each receive?

dybincka [34]

1.5 pizzas because 9 divided by 6 is 1.5

6 0

3 years ago

Read 2 more answers

You are given the height and the circumference of the base of a cylinder. Describe how to find the surface area of the entire cy

Talja [164]

Hello from MrBillDoesMath!

Answer:

2 * (Pi r^2) + (Pi r^2)*h

where r = C/(2 Pi)

Discussion:

Total surface area of cylinder =

area of bottoms + surface area of cylinder =

2 * area of base + (area of base) * h

Generally, C = 2 Pi r, so r = C/(2 Pi) is known as we are given C. . Plugging this in the above equation gives

2 * (Pi r^2) + (Pi r^2)*h

Thank you,

MrB

6 0

4 years ago