april bought some sports drinks and slices of pizza for her friend. she bought 3 more sports drinks than slices of pizza. if her

Answer:

The coordinates of point M are (2,1)

Step-by-step explanation:

Let's call the coordinates of point M by (x, y)

We have that the rate AM:MB is 1/2, so we can calculate x and y as follows:

x-coordinate of A is equal to -1, and x-coordinate of B is equal to 8, then:

AM:MB = [x - (-1)] / [8 - x] = 1/2

(x+1)/(8-x) = 1/2

2x+2 = 8-x

3x = 6

x = 2

y-coordinate of A is equal to -3, and y-coordinate of B is equal to 9, then:

AM:MB = [y - (-3)] / [9 - y] = 1/2

(y+3)/(9-y) = 1/2

2y+6 = 9-x

3y = 3

y = 1

So the coordinates of point M are x = 2 and y = 1 or (2,1)

Answer:

• y + 2 = - 3/2(x - 4)

Step-by-step explanation:

<u>Given line:</u>

• y + 4 = 2/3(x - 2)

It has a slope of 2/3.

<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>

• m = - 3/2

<u>Find its equation provided it passes through the point (4, - 2):</u>

• y - (-2) = - 3/2(x - 4)
• y + 2 = - 3/2(x - 4)

Answer: 91

Step-by-step explanation:

9 tens= 90
1 ones= 1
90+1=91

Answer:

Answer:     2x^2+11x+15      Coefficient of x is 11 and coefficient of x^2 is 2.

Step-by-step explanation:

(<em>x</em>+3)×(2<em>x</em>+5)=?

           Use FOIL Method                      Foil stands for First Outer Inner Last

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<em>Step 1:      </em>(<em>x</em>×2<em>x</em>)<em>      </em>  =2<em>x</em>^2                Multiply <u>First</u> Terms together  (<em>x</em> and 2<em>x</em>)

<em>Step 2:     </em>(<em>x</em>×5) <em>         </em>=5<em>x</em>           Multiply <u>Outer</u> terms together (<em>x </em>and 5)

<em>Step 3:   </em>  (3×2<em>x</em>)  <em>      </em>=6<em>x</em>           Multiply <u>Inner</u> terms together (3 and 2<em>x</em>)

<em>Step 4:     </em>(3×5) <em>         </em>=15            Multiply <u>Last</u> terms together (3 and 5)

2x^2+5x+6x+15             Combine Like Terms

Answer:     2x^2+11x+15

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