**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:**

**Step-by-step explanation:**

<u>Given line:</u>

It has a slope of 2/3.

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

<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

<em />

<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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