Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the point (x1, y1).

Answers

Answer 1

Answer:

The equation written in point-slope form would be:

y+2=1/4(x-9).

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Please help me Solve: 2x-3=6

Solve for h in the mathematical formula V=pi r^(2)h

Answers

Answer:

$(V)/(\pi r^(2) )$ = h

Step-by-step explanation:

Lets try and get everything we can away from h.

V = $\pi$ $r^(2) h$

Divide $\pi$ $r^(2)$ from both sides of the equation.

Now we end up with:

$(V)/(\pi r^(2) )$ = h

Point E is located at coordinates (-7, -5). Point F is located at the coordinates (-2, 7). What is the length of EF?A. 21 units
B. 17 units
C. 13 units
D. 15 units

Answers

The length EF is 13 units

The coordinates of the points are given as:

Point E = (-7,-5)

Point F = (-2,7)

The length EF is calculated using the following distance formula

$EF =√((x_2 - x_1)^2 + (y_2 -y_1)^2)$

This gives

$EF =√((-2+ 7)^2 + (7+5)^2)$

$EF =√(169)$

Evaluate the root of 169

$EF =13$

Hence, the length EF is 13 units

Answers

For this case, the first thing we must do is find the average rate of change for the mentioned interval.

By definition we have to:

$AVR = (f(x2)-f(x1))/(x2-x1)$

Substituting values we have:

$AVR = (21.95-19.95)/(40-0)$

Rewriting we have:

$AVR = (2)/(40)$

Answer:

C.) The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.

The answer would be B The average rate of change is $0.50, meaning that for every ten minutes of talk time, the bill increases by $0.50.

A map uses a scale of 2 cm = 50 kilometers. On the map, two cities are 9 cm apart, how far apart are they in real life?

Answers

Answer:

they are in 225kilometers apart.

hope it helps.

How many prime numbers are there between 56 and 100?

Answers

9.

They are: 59, 61, 67, 71, 73, 79, 83, 89 & 97.

there are nine prime numbers between 56 and hundred

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

Answers

Answer: 10, 8, 6 , 4, 2, 0, -2, -4, ...

Explanation: every number of the sequence is the previous less 2 and the first terms is 10.

Answer:

D. 10, 8, 6, 4, 2, ...

Step-by-step explanation:

I got it right on the EDG. unit test!

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The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x f(x) = 90(1.013)x f(x) = 91.2(2.2)x f(x) = 90(2.2)x

Jaycie has a VIP membership to a movie theater, so she pays 27 dollars a year and 6.00 for each movie she sees. Claire doesn't have a membership, so she pays 8.25 for each movie she sees. How many movies would they have to see in a year in order to pay the same amount?

What does square root x^16 equal?

What two numbers multiply to get 77 but add up to 18?