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1 year ago

-Find the y-intercept of the line with the equation 2x+y=5.

Mathematics

1 answer:

AlekseyPX1 year ago

8 0

Answer:

E. 5

Step-by-step explanation:

Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

2x + y = 5

y = -2x+5

M, the slope, is -2

<u>5, b, is the y-intercept</u>

See attached graph.

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Ivanshal [37]

Answer:

a. $\frac{x + 3}{21}=\frac{x + 1}{15}$

b. x = 4 (see steps below)

Step-by-step explanation:

Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:

$\frac{smaller}{larger}=\frac{x + 3}{21}=\frac{x + 1}{15}$

Cross-multiply: 15(x + 3) = 21(x + 1)

Distribute: 15x + 45 = 21x + 21

Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21

Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x

Divide by 6 on both sides: 24/6 = 6x/6

Solve for x: x = 4

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Answer:

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