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3 years ago

14

The area of a rectangle is 221 in?. If its width is 13 in, then find its length.

1 answer:

lara31 [8.8K]3 years ago

4 0

I believe it’s 17 inches:)

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Use substitution to solve the system.<br> 5x – 4y = 32<br> y = 2x – 11

zhuklara [117]

symbolab

Step-by-step explanation:

it's free it can help you a lot I promise

3 0

3 years ago

Read 2 more answers

HELP PLEASE !!! Place each expression under the equivalent expression in the table.

tino4ka555 [31]

Answer:

Option 3,5 are under first expression and Option 1,2 are under second expression.

Step-by-step explanation:

1). $\frac{(x-4)(x+2)}{x^{2}+5x+6}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}$

$=\frac{(x-4)(x+2)}{(x+3)(x+2)}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}$ $=\frac{(x-4)}{(x+3)}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}$

$=\frac{(x-4)(4x-5)-3x^{2}+24x-20}{(x+3)(4x-5)}$

$=\frac{4x^{2}-5x-16x+20-3x^{2}+24x-20}{(x+3)(4x-5)}$ $=\frac{x^{2}+3x}{(x+3)(4x-5)}$

$=\frac{x(x+3)}{(x+3)(4x-5)}=\frac{x}{4x-5}$

2). $\frac{3x}{4x-5}-\frac{4x^{2}}{8x^{2}-10x}=\frac{3x}{4x-5}-\frac{4x}{8x-10}$ $=\frac{3x(8x-10)-4x(4x-5)}{(4x-5)(8x-10)}$

$=\frac{24x^{2}-30x-16x^{2}+20x}{(4x-5)(8x-10)}$

$=\frac{8x^{2}-10x}{(4x-5)(8x-10)}$ $=\frac{x(8x-10)}{(4x-5)(8x-10)}=\frac{x}{4x-5}$

3). $\frac{6x^{2}}{x^{2}-7x+10}\div \frac{2x}{x-5}$

$=\frac{6x^{2}}{x^{2}-7x+10}\times \frac{x-5}{2x}$

$=\frac{3x(x-5)}{x^{2}-7x+10}$

$=\frac{3x(x-5)}{(x-5)(x-2)}=\frac{3x}{x-2}$

4). $\frac{-x}{4x-5}-\frac{4x^{2}}{16x^{2}-22x}$

$=\frac{-x}{4x-5}-\frac{2x}{8x-11}$

$=\frac{-x(8x-11)-2x(4x-5)}{(4x-5)(8x-11)}$

$=\frac{-8x^{2}+11x-8x^{2}+10x}{(4x-5)(8x-11)}$

$=\frac{-16x^{2}+21x}{(4x-5)(8x-11)}=\frac{-x(16x-21)}{(4x-5)(8x-11)}$

5). $\frac{3x^{2}}{x+3}\times \frac{2(x+3)}{2x^{2}-4x}$

$=\frac{6x^{2}(x+3)}{2x(x+3)(x-2)}=\frac{3x}{x-2}$

6). $\frac{5x^{2}}{x-2}\times \frac{2x+6}{8x^{2}-4x}$

$=\frac{10x^{2}(x+3)}{4x(x-2)(2x-1)}$

4 0

3 years ago

Read 2 more answers

In \triangle BCD,△BCD, \overline{BC}\cong \overline{DB}

Mariana [72]

Answer:16.5

Step-by-step explanation: x+x+147=180

2x+147=180

2x=33

2x=33 divide by 2

x=16.5

8 0

3 years ago

Is 6 2/3 bigger then 6 12/15

FinnZ [79.3K]

Answer:

6 2/3 is greater

Step-by-step explanation:

6 0

3 years ago

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Using substitution y= 5X-8. 4X+3y=33

Lesechka [4]

Explanation:

A system of equations are two or more equations that has to be valid at the same time. It means that the variables of one equation can be substitute in the other equation.

For example we have <span>y=5x−8</span> and we can substitute this value of y in the other equation

<span>4x+3y=33</span>

<span>4x+3<span>(5x−8)</span>=33</span> we can solve now for x

<span>4x+15x−24=33</span>

<span>19x=33+24</span>

<span>19x=57</span>

<span>x=<span>5719</span>=3</span>.

y can be obtained from the first equation

<span>y=5x−8</span>

<span>y=5⋅3−8=15−8=7</span>

Then <span>x=3</span> and <span>y=7</span>.

6 0

4 years ago