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3 years ago

Write an algebraic expression to represent the area of the shaded region.

Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

Answer:

4y^{2}+3y

Step-by-step explanation:

First you need to distribute the values.

(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials

You Should get

8y^{2}+6y

Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.

8y^{2}+6y/2

Doing this you will get

4y^{2}+3y

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Provide a solution for the following equation: 3x + 2y=4

shtirl [24]

Answer:

One solution is to find x and y by doing the following:

Step-by-step explanation:

Let's solve for x.

3x+2y=4

Step 1: Add -2y to both sides.

3x+2y+−2y=4+−2y

3x=−2y+4

Step 2: Divide both sides by 3.

x=-2/3y+4/3

Lets solve for y.

3x+2y=4

Step 1: Add -3x to both sides.

3x+2y+−3x=4+−3x

2y=−3x+4

Step 2: Divide both sides by 2.

y= -3/2x+2

7 0

3 years ago

Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(-1, -2)

(3, 4)

Determining the slope between (-1, -2) and (3, 4)

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

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

$m=\frac{4-\left(-2\right)}{3-\left(-1\right)}$

$m=\frac{3}{2}$

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

$\frac{9}{2}+b=4$

subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

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

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)$

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Therefore, the slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

8 0

2 years ago

Easy points of you answer this ! So help me out

BabaBlast [244]

The answer is going to be 200 because the real answer would be 216.84

6 0

3 years ago

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3 * 9 + (6 + 5 – 3) – 12 : 4 =

xeze [42]

Answer:

23,4

Step-by-step explanation:

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3 years ago

Find the distance between the points (2,0) and (-4,6)

N76 [4]

Answer:

You have to move 6 times to the left and 6 times down.

Step-by-step explanation:

If you're at (2,0), you move 2 times to the left, and then you're at (0,0).

Next move 4 times to the left. Now you're at (-4,0).

Now, move 6 times down, and now, you're at (-4,-6).

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3 years ago

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