Ask question

Ask question

All categories

3 years ago

11

The area if a rectangle is 48 square centimeters. The lenght of the rectangle is 8 centimitwrs longer than the witch. Which equa

tion modles this situation

1 answer:

Pie3 years ago

4 0

So, The length is 8 cm longer than the width.

Area of a rectangle = l *w

48 cm^2 = l *w

l = w+8

48 cm^2 = w * w+8

48 = w^2 +8w

^ that's the equation that models it. Or any other one listed

You might be interested in

1/2x + 1/3y = 7

pashok25 [27]

let's multiply both sides in each equation by the LCD of all fractions in it, thus doing away with the denominator.

$\begin{cases} \cfrac{1}{2}x+\cfrac{1}{3}y&=7\\\\ \cfrac{1}{4}x+\cfrac{2}{3}y&=6 \end{cases}\implies \begin{cases} \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{6}}{6\left( \cfrac{1}{2}x+\cfrac{1}{3}y \right)=6(7)}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{1}{4}x+\cfrac{2}{3}y\right)=12(6)} \end{cases}\implies \begin{cases} 3x+2y=42\\ 3x+8y=72 \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{using elimination}}{ \begin{array}{llll} 3x+2y=42&\times -1\implies &\begin{matrix} -3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-2y=&-42\\ 3x+8y-72 &&~~\begin{matrix} 3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+8y=&72\\ \cline{3-4}\\ &&~\hfill 6y=&30 \end{array}} \\\\\\ y=\cfrac{30}{6}\implies \blacktriangleright y=5 \blacktriangleleft \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{substituting \underline{y} on the 1st equation}~\hfill }{3x+2(5)=42\implies 3x+10=42}\implies 3x=32 \\\\\\ x=\cfrac{32}{3}\implies \blacktriangleright x=10\frac{2}{3} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(10\frac{2}{3}~~,~~5 \right)~\hfill$

7 0

3 years ago

A truck has left Amsterdam with a speed of 52 mph. After 5 hours a car has left Amsterdam with a speed of 78 mph. At what distan

torisob [31]

It would be 10 hours but the distance would be 260 mph.

7 0

2 years ago

Read 2 more answers

Our solar system is approximately 27,000 light-years from the center of the Milky Way. Therefore, what is true when we observe t

aalyn [17]

Answer:

We are observing the galactic center as it was 27,000 years ago

Step-by-step explanation:

The Galactic Center, or Galactic Centre, is the rotational center of the Milky Way. It is 8,122 ± 31 parsecs (26,490 ± 100 ly) away from Earth in the direction of the constellations Sagittarius, Ophiuchus, and Scorpius where the Milky Way appears brightest. It coincides with the compact radio source Sagittarius A*

5 0

3 years ago

I need help with this please!!!

Andru [333]

Answer:

U = $\frac{TE}{3}$

Step-by-step explanation:

Given

T = $\frac{3U}{E}$

Multiply both sides by E to clear the fraction

TE = 3U ( divide both sides by 3 )

$\frac{TE}{3}$ = U

5 0

3 years ago

Which is the solution to the inequality?

Ipatiy [6.2K]

X=8
I believe that would be ur answer! I hope i helped out

4 0

3 years ago