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s344n2d4d5 [400]
3 years ago
8

WRITE AN EQUATION THAT REPRESENTS THE LINE. (USE EXACT NUMBERS) I WILL GIVE BRAINLIEST!!!

Mathematics
1 answer:
xxMikexx [17]3 years ago
7 0

Answer:

y = -1/2x - 3 1/2    exact fractions

y = -0.5x - 3.5     exact decimals

Step-by-step explanation:

From the two points indicated on the graph

rise goes from -4  to -5 = -1

run goes from 1 to 3 = 2

m = slope = rise/run = -1/2

slope intercept form is

y = mx+b

to find "b" use either point

using (1, -4)

-4 = (-1/2)(1) + b

-4 = -1/2 + b

Add 1/2 to both sides

-3 1/2 = b

The equation is

y = -1/2x - 3 1/2     exact fractions

y = -0.5x - 3.5     exact decimals

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The perimeter of triangle ABC is 54. the triangle has side lengths AB=3x, BC=4x, AC=5x. Find the length of each side.
elena-14-01-66 [18.8K]

The perimeter of a triangle is the sum of its sides. So, we have

P = \overline{AB}+\overline{BC}+\overline{AC}

We have an exact value for the perimeter, and variable expressions for the sides. Let's substitute the formula above with what we're given:

54 = 3x+4x+5x = 12x

If you divide both sides by 12, you have

x = \dfrac{54}{12} = 4.5

So, the lengths of the sides are

AB = 3x = 3\times 4.5 = 13.5

BC = 4x = 4\times 4.5 = 18

AC = 5x = 5\times 4.5 = 22.5

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4 years ago
Simplify (1/36)^n=216^n+5
Amanda [17]

Answer: - 2

Step-by-step explanation:

(1/36)^n = 216^n+5

(1/6^2)^n = (6^3)^n+5

(6^-2)^n = (6^3)^n+5

Opening the brackets

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