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sesenic [268]
3 years ago
5

What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2? ​

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

Step-by-step explanation:

(2,-4)....x1= 2 and y1 = -4

(p,8).....x2 = p and y2 = 8

slope(m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...

slope(m) = (y2 - y1) / (x2- x1)

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)

1/2(p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26

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How many cubes with side lengths of \dfrac14\text{ cm}
bogdanovich [222]

Answer:

Step-by-step explanation:

Correct question

How many cubes with side lengths of ¼cm needed to fill the prism of volume 4 cubic units?

We know that,

Volume of a cube is s³

V = s³

Where 's' is length of side of a cube

Given that

The cube has a length of ¼cm, and a cube has equal length

s= ¼cm

Then, it's volume is

V = s³

V = (¼)³ = ¼ × ¼ × ¼

V = 1 / 64 cubic unit

V = 0.015625 cubic unit

Then, given that the volume of the prism to be filled is 4 cubic unit

Then,

As, we have to find the number if cubes so we will divide volume of prism by volume of one cube

Then,

n = Volume of prism / Volume of cube

n = 4 / 0.015625

n = 256

So, then required cubes to filled the prism is 256 cubes.

5 0
3 years ago
Read 2 more answers
What is the measure of
posledela
The triangle is isosceles so m∠A and m∠C are the same. 

So to find ∠B, we do 74 + 74 + b = 180

148 + b = 180
b = 180 - 148
b = 32

Answer B is the right choice. 
3 0
3 years ago
write an equation to find the total number of baskets crafted in any number of days. describe the relationship in words.
just olya [345]
Number of baskets times number of days
5 0
3 years ago
Mr. Rives' rotating sprinkler waters his lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn mr. Ri
zaharov [31]

Answer:

Step-by-step explanation:

Mr. Rives' rotating sprinkler waters his lawn up to a radius of 7 feet. The formula for determining the area of a circle is expressed as

Area = πr²

Where

π is a constant whose value is 3.14.

r represents the radius if the circle.

The area covered by one of Mr. Rives' rotating sprinkler would be

3.14 × 7² = 3.14 × 49 = 153.86ft²

Therefore, the maximum area of lawn that two sprinklers can cover would be

153.86 × 2 = 307.72 ft²

3 0
3 years ago
Often considered the slope, this is the comparison of two different quantities that are changing
Brilliant_brown [7]

Answer:

I believe that would be the rate..

Step-by-step explanation:

5 0
3 years ago
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