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3 years ago

-8 + 5x - 2 = 20 solve

1 answer:

3 0

Combining like terms on the left-hand side gives us $5x-10=20.$ Adding 10 to both sides gives $5x=30,$ and dividing both sides by 5 gives our answer of $\boxed{x=6}.$

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What is the equation of a line that passes theough the points (-3,4) and (2,8)?

Salsk061 [2.6K]

<h3><u>Explanation</u></h3>

Find the slope by using rise over run with two given coordinate points.

$\begin{cases} (x_1,y_1)=(-3,4) \\ (x_2,y_2)=(2,8) \end{cases} \\ m = \frac{y_2 - y_1}{x_2 - x_1}$

Substitute the coordinate values in.

$m = \frac{8 - 4}{2 - ( - 3)} \\ m = \frac{4}{2 + 3} \Longrightarrow \frac{4}{5}$

We have got the value of slope. Substitute in the slope-intercept form.

Slope-Intercept

$y = mx + b \\ \sf{m = slope}\\ \sf{b = y - intercept}$

Substitute and Rewrite the equation.

$y = \frac{4}{5} x + b$

Find the y-intercept or the value of b by substituting any given coordinate points.

I will substitute (2,8) in.

$y = \frac{4}{5} x + b \Longrightarrow \sf \small{Substitute \: \: the \: \: coordinate \: \: points \: \: in \: \: the \: \: equation}$

$8 = \frac{4}{5} (2) + b \\ 8 = \frac{8}{5} + b \\ 40 = 8 + 5b \\ 40 - 8 = 5b \\ 32 = 5b \\ \frac{32}{5} = b$

Rewrite the equation by substituting the value of b.

$y = \frac{4}{5} x + \frac{32}{5}$

<h3><u>Answer</u></h3>

<u> $\large \boxed{y = \frac{4}{5} x + \frac{32}{5} }$ </u>

4 0

3 years ago

Which conjunction about whole numbers is true?

alexandr402 [8]

Answer:

The sum of two even numbers is even and greater than the addends.

Step-by-step explanation:

Let 2n and 2m be two even numbers.

The sum of these numbers is

$2n+2m$

Use distributive property:

$2(n+m)$

This number is even because 2 is its factor.

Note that

$2n+2m>2n\\ \\2n+2m>2m$

Thus, correct option is:

The sum of two even numbers is even and greater than the addends.

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3 years ago

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I need help asappp someone please help!

Dimas [21]

The area is 504

explanation: A= 1/2 bc

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2 years ago

Svetlana's hair is 4 centimeters long. Her hair grows 1.5, point, 5 centimeters per month. Svetlana wants her hair to grow so th

Alekssandra [29.7K]

4 < 5

I think that is the equality.

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3 years ago

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Consider the experiment where a pair of fair dice is thrown. Let X denote the random variable whose value is determined by takin

Nastasia [14]

Answer:

Pr(X=1) = 1/36

Pr(X=2) = 3/36

Pr(X=3) = 5/36

Pr(X=4) = 7/36

Pr(X=5) = 9/36

Pr(X=6) = 11/36

Pr(X is divisible by 4) = 7/36

Step-by-step explanation:

Two fair die are thrown and X = maximum of the two die.

Pr(X=1) means 1 is the maximum number of the two numbers showing on the dice. This can only happen when both dice are showing 1. So,

Pr(X=1) = (1,1)

= (1/6)*(1/6)

Pr(X=1) = 1/36

Pr(X=2) = (1,2) + (2,1) + (2,2)

= (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6)

Pr(X=2) = 3/36

Pr(X=3) = (1,3) + (2,3) + (3,1) + (3,2) + (3,3)

= (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6)

Pr(X=3) = 5/36

Pr(X=4) = (1,4) + (2,4) + (3,4) + (4,1) + (4,2) + (4,3) + (4,4)

= (1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)

Pr(X=4) = 7/36

Pr(X=5) = (1,5) + (2,5) + (3,5) + (4,5) + (5,1) + (5,2) + (5,3) + (5,4) + (5,5)

= 9 *(1/6)*(1/6)

Pr(X=5) = 9/36

Pr(X=6) = (1,6) + (2,6) + (3,6) + (4,6) + (5,6) + (6,1) + (6,2) + (6,3) + (6,4) + (6,5) + (6,6)

= 11 * (1/6)*(1/6)

Pr(X=6) = 11/36

X is divisible by 4 only when X=4. Other values of X are not divisible by 4. So,

Pr(X is divisible by 4) = Pr(X=4)

Pr(X is divisible by 4) = 7/36

5 0

3 years ago