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2 years ago

Find the slope of the line through C(2, 5) and D(4,7).

Mathematics

2 answers:

VladimirAG [237]2 years ago

6 0

The slope of the line through C(2, 5) and D(4,7) will be 1.

<h3>What is a linear equation?</h3>

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Then the slope of the line through C(2, 5) and D(4,7) will be given as,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 5) / (4 - 2)

m = 2 / 2

m = 1

Thus, the slope of the line through C(2, 5) and D(4,7) will be 1.

More about the linear equation link is given below.

brainly.com/question/11897796

#SPJ2

lozanna [386]2 years ago

3 0

Answer:1

Step-by-step explanation:u don't need one

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3 years ago

A movie theater sends out a coupon for 85% off the price of a ticket. Write an equation for the situation, where y is the pri

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Answer:

$y=0.15x$

Step-by-step explanation:

Given:

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Therefore, the price after applying coupon is given as the difference of the original price and the coupon discount. That is,

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The graph is shown below. The graph passes through the origin as the above relationship is a proportional relationship.

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3 years ago

A glass container can hold 216a^3 cubic cm of water. inside the glass container is a metallic cube with a volume of 64b^3 cubic

xz_007 [3.2K]

Answer:

$16(3a-2b)(4a^2+3ab+2b)$

Step-by-step explanation:

We will be able to fill the glass up to the amount of water possible to hold in the glass, minus the amount in the cube. This means it will be able to hold $216a^3-64b^3=(6a)^3-(4b)^3$ cubic cm of water.

Using the difference of cubes formula(you can prove this by expanding back out again), we get that $(6a^3)-(4b)^3=(6a-4b)((6a)^2+(6a)(4b)+(4b)^2)=(6a-4b)(36a^2+24ab+16b)=8(6a-4b)(4a^2+3ab+2b)=16(3a-2b)(4a^2+3ab+2b)$

Therefore, the answer is $\boxed{16(3a-2b)(4a^2+3ab+2b)}$ cubic centimeters and we're done!

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3 years ago