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3 years ago

Write an equation in slope -intercept form for a line that passes through (-2,7) and (14,21)

1 answer:

7 0

(-2,7) and (14,21)

Find the slope by using the formula $m = \frac{y2 - y1}{x2 - x1}$

Plug in the numbers. $m = \frac{21 - 7}{14 - - 2} 
 \\ m= \frac{14}{16} = \frac{7}{8} 
$

Write it in point slope form first

y - y1 = m(x - x1)
y - 7 = 7/8(x - -2)
y - 7 = 7/8x + 1.75
+ 7 +7

y = 7/8x + 8.75

Our final equation would be: <span>y = 7/8x + 8.75</span>

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What value of x makes this statement true?<br><br> 3x = 2x+12

saul85 [17]

Answer:

x=12

Step-by-step explanation:

3x=2x+12

3x-2x=12

x=12

4 0

2 years ago

Read 2 more answers

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

Kisachek [45]

<h3>1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication. TRUE</h3><h3>5. The final simplified product is $-28x^2 + 8x - 8$ FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

$F(x) = 3x(x- 12x) + 3x^2-2(x-2)^2$

Now, let us first solve the given expression step wise:

$F(x) = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x) = -32x^2 +8x - 8$

Now, here the given statements are:

1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication. TRUE

5. The final simplified product is $-28x^2 + 8x - 8$ FALSE

As the simplified expression is: $(-32x^2 +8x -8)$

7 0

2 years ago

Can someone please show me how to divide 22 and 121 please and take your time explaining so that way I can understand it. Thank

Aleonysh [2.5K]

When dividing 22 into 121 , you are cosidering how many times 22 goes into 121. This is called division.

Now how do we use division to find this?

well we do 22 over 121 or 22/121

The next step is the conversion to decimal.

How do we figure this out? well we use multiplication through the remainder theorem. The way this works is we figure out how many times 121 goes into a quantity of another number so,

121 goes into 22 how many times. Well 0, thus by the reaminder theorem we will add a zero assuming that we put a decimal place so now we know the number is atleast .XX

Now we have 220, so how many times does 121 go into 220? Well 1. We can add that to our number .1XX and we subtract that from 220 and then add a zero.

220-121 is 99 plus add a zero so we now have 990. 121 goes into 990 how many times? 8 times so we know the number is .18

This process could be continued forever, but there is no need. I hope I explained this well. Explaining core concepts like this generally should be done in person with someone.

7 0

3 years ago

An art curator records statistics about three new exhibits at her art museum. The mean age of the artifacts and the standard dev

spin [16.1K]

Definitely exhibit A

8 0

3 years ago

Read 2 more answers

Solve the equation a=m-n for the variable n

Bogdan [553]

Answer:

m-a = n

Step-by-step explanation:

a=m-n

Subtract m from each side

a-m = m-n-m

a-m = -n

Multiply each side by -1

-a+m = n

m-a = n

7 0

2 years ago