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3 years ago

Find the equation for the family of lines tangent to the circle with center at the origin and radius 3.

1 answer:

7 0

Our circle isx^2+y^2=9the formula for a tangent line at a point 'a' isy−y(a)=y′(a)(x−a)

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Write the series using summation notation. −3+4−5+6−7

Genrish500 [490]

-3+4=1 and 1 -5= -4, -4+6=2 AND 2-7=-5 Answer =-5

8 0

3 years ago

Create a six sided cube that shows examples of different solids and explain how to calculate the surface area and volume of each

gulaghasi [49]

We are given a six-sided cube. To determine the surface area and the volume of the cube, we need to know the area of one side:

All sides of the cube are squares with side, s. The area of one square is

A = s^2

The surface area of a cube is the sum of all areas of the sides. So

SA = 6 sides * s^2
SA = 6s^2

The volume of the cube is

V = s^3

The volume of the cube represents the total solid area of the cube which includes the space inside the solid.

7 0

3 years ago

Find the average rate of change of f(x)=2x-1 from x=-1 to x=2

MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

Solution:

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

The average rate of change is given as:

$\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}$

The average rate of change from x = -1 to x = 2 is given by formula:

$\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}$

Find f(2) and f( - 1)

Substitute x = 2 in given function

f(2) = 2(2) - 1 = 4 - 1 = 3

Substitute x = -1 in given function

f( - 1) = 2(-1) - 1 = -2 - 1 = -3

Substitute the values in above formula,

$\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2$

Thus average rate of change from x = -1 to x = 2 is 2

3 0

3 years ago

On Monday Ravi drives for 4 hours.

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

On Monday Ravi drives for 4 hours.

His average speed is 30 mph.

How far does Ravi drive on Monday?

4 0

3 years ago

Read 2 more answers

Is 67 a prime number?

alexdok [17]

Answer:

yes 67 is a prime number because has only 2 divisors

Step-by-step explanation:

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3 years ago