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4 years ago

11

The length of a rectangular carpet is 4 feet greater than twice its width. If the area is 48 square feet, find the carpet’s leng

th and width.

1 answer:

Sonbull [250]4 years ago

5 0

l = 2w + 4

l * w = 48

We can substitute l with its value:

2w + 4 * w = 48

2w^2 + 4w - 48 = 0

2(w^2 + 2w - 24) = 0

2(w+6)(w-4) = 0

w = {4, -6}

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Find the slope and the equation for the line passing through the points: (-3,0) and (-1,2)

dusya [7]

Answer:

slope: 1
equation: y = x +3

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (2 -0)/(-1 -(-3)) = 2/2

m = 1 . . . . . the slope of the line is 1

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The value of the y-intercept can be found by solving the slope-intercept equation for b.

y = mx +b

b = y -mx

b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

y = x +3

4 0

3 years ago

Please help me with this

AfilCa [17]

20,000 + 70 + 3 = 20,073

6 0

3 years ago

Read 2 more answers

PLEASE HELP<br><br>divide. (3x-2)(x-4)-(x-4)(6-5x)<br>/(4-x)(8x-1)

8_murik_8 [283]

Answer:

x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

Step-by-step explanation:

Solve for x:

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = 0

Simplify and substitute y = 4 - x.

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = -434 + 257 (4 - x) - 37 (4 - x)^2

= -37 y^2 + 257 y - 434:

-37 y^2 + 257 y - 434 = 0

Divide both sides by -37:

y^2 - (257 y)/37 + 434/37 = 0

Subtract 434/37 from both sides:

y^2 - (257 y)/37 = -434/37

Add 66049/5476 to both sides:

y^2 - (257 y)/37 + 66049/5476 = 1817/5476

Write the left hand side as a square:

(y - 257/74)^2 = 1817/5476

Take the square root of both sides:

y - 257/74 = sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

y = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Substitute back for y = 4 - x:

4 - x = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Subtract 4 from both sides:

-x = sqrt(1817)/74 - 39/74 or y - 257/74 = -sqrt(1817)/74

Multiply both sides by -1:

x = 39/74 - sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

x = 39/74 - sqrt(1817)/74 or y = 257/74 - sqrt(1817)/74

Substitute back for y = 4 - x:

x = 39/74 - sqrt(1817)/74 or 4 - x = 257/74 - sqrt(1817)/74

Subtract 4 from both sides:

x = 39/74 - sqrt(1817)/74 or -x = -39/74 - sqrt(1817)/74

Multiply both sides by -1:

Answer: x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

7 0

3 years ago

Someone please help me!!! I’m stuck and need help!

denpristay [2]

Answer:

12

Step-by-step explanation:

These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.

Side AR and Side TE are corresponding. Use this proportion.

$\frac{6}{8}$

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.

We know that RS+ST=21

And that RS=3/4(ST).

$\frac{3}{4} x + x = 21$

$1.75x = 21$

x=12.

Side ST is 12

6 0

3 years ago

What is a correct equation for the line passing through the point (-2,1) and having slope m=1/2

frez [133]

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We ahve the slope m = 1/2 and the point (-2, 1). Substitute:

$y-1=\dfrac{1}{2}(x-(-2))$

$y-1=\dfrac{1}{2}(x+2)$ - point-slope form

Covert to the slope-intercept form (y = mx + b):

$y-1=\dfrac{1}{2}(x+2)$ <em>use the distributive property</em>

$y-1=\dfrac{1}{2}x+1$ <em>add 1 to both sides</em>

$y=\dfrac{1}{2}x+2$ - slope-intercept form

Convert to the standard form (Ax + By = C):

$y=\dfrac{1}{2}x+2$ <em>multiply both sides by 2</em>

$2y=x+4$ <em>subtract x from both sides</em>

$-x+2y=4$ <em>change the signs</em>

$x-2y=-4$ - standard form

Convert to the general form (Ax+By+C=0):

$x-2y=-4$ <em>add 4 to both sides</em>

$x-2y+4=0$ - general form

5 0

4 years ago