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2 years ago

WILL GIVE BRAINLIEST!

Mathematics

1 answer:

il63 [147K]2 years ago

8 0

Answer:

15, 17, 19

Step-by-step explanation:

let the first odd number be n then the next 2 are n + 2 and n + 4 , then

n + n + 2 + n + 4 = 51

3n + 6 = 51 ( subtract 6 from both sides )

3n = 45 ( divide both sides by 3 )

n = 15

Then

n + 2 = 17 and n + 4 = 19

The 3 consecutive odd numbers are 15, 17, 19

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Find the equation of the line in slope-intercept form (-1,-1) and (1,0)

ArbitrLikvidat [17]

Answer:

An equation in slope-intercept form of the line will be

$y\:=\frac{1}{2}x-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the points

(-1, -1)

(1, 0)

Finding the slope between (-1,-1) and (1,0)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-1\right)}{1-\left(-1\right)}$

$m=\frac{1}{2}$

substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept

$y = mx+b$

$-1=\frac{1}{2}\left(-1\right)+b$

$-\frac{1}{2}+b=-1$

Add 1/2 to both sides

$-\frac{1}{2}+b+\frac{1}{2}=-1+\frac{1}{2}$

$b=-\frac{1}{2}$

substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y\:=\frac{1}{2}x+\left(-\frac{1}{2}\right)$

$y\:=\frac{1}{2}x-\frac{1}{2}$

Therefore, an equation in slope-intercept form of the line will be

$y\:=\frac{1}{2}x-\frac{1}{2}$

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2 years ago

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kompoz [17]

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3 years ago

Read 2 more answers

By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?

Strike441 [17]

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