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3 years ago

Which is the slope of the line that passes through the points (2,-2) and (8,6)?

Mathematics

1 answer:

irinina [24]3 years ago

5 0

Answer:

y = 4/3x - 14/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6 - (-2) / 8 - 2

4/3

y = 4/3x + b

-2 = 4/3(2) + b

-2 = 8/3 + b

-14/3 = b

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Evaluate the following.

lisov135 [29]

Answer:

a. 7

b. 0

c. 4

d. 15

Step-by-step explanation:

the negative numbers in the absolute value get changed to positive.

7 0

2 years ago

Read 2 more answers

If the 7th term of the geometric sequence is 77, and the 8th term is 231, find the common ratio of the sequence

Rom4ik [11]

Answer:

154

Step-by-step explanation:

If the 7th term is 77 and the 8th term is 231, you have to subtract them and get your answer.

231-77=154

154 is the common ratio.

(if another person gets the same answer it is probably correct)

5 0

3 years ago

a new cd player costs $71.00. Minny waits until it is 25% off to buy. Find the amount that minny pays for the new cd player.

alexandr1967 [171]

71*.25=17.75
71-17.75=53.25

4 0

3 years ago

A tree casts a shadow that is 20 feet long. Frank is 6 feet tall,

hodyreva [135]

Answer:

a. The tree is 30 feet tall.

b. The tree is 24 feet taller than Frank.

Step-by-step explanation:

Since the shadow of the tree is 20 feet and the shadow of Frank is 4 feet, 20+4 is 24. 24+6 is 30, so the tree is 30 feet tall and the tree is 24 feet taller than Frank.

6 0

3 years ago

The perimeter of a fence must be no larger than 500 feet in length. The longer side of the fence must be 10 feet more than twice

Lady bird [3.3K]

Answer:

<em>The shortest side of the fence can have a maximum length of 80 feet</em>

Step-by-step explanation:

<u>Inequalities</u>

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

$2x + 2y \le 500$

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

$2(10 + 2y) + 2y \le 500$

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

$20 + 4y + 2y \le 500$

Simplifying:

$20 + 6y \le 500$

Subtracting 20:

$6y \le 500 - 20$

$6y \le 480$

Solving:

$y \le 480 / 6$

$y \le 80$

The shortest side of the fence can have a maximum length of 80 feet

4 0

3 years ago