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2 years ago

The perimeter of a rectangle garden is 54 feet. The width is 5 more feet than the length. What is the length of the garden

Mathematics

1 answer:

love history [14]2 years ago

3 0

The Length of the rectangle is 11 ft and the width is 16 ft

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Prometheus bought 6/7 pound of beef liver. he is cutting it into 3/14 pound slices. how many slives will he cut from the origina

Lubov Fominskaja [6]

Answer:

4 slives

Step-by-step explanation:

3 0

2 years ago

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Can anyone answer this? I'll give brianliest I just really really need this

avanturin [10]

Answer:

yes 2=138 degrees

Step-by-step explanation:

Not hundo perecent sure, sorry if it's wrong, if you want me to show my work then please ask

4 0

2 years ago

Please help solve this system of equations

stepan [7]

Make a substitution:

$\begin{cases}u=2x+y\\v=2x-y\end{cases}$

Then the system becomes

$\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}$

Simplifying the equations gives

$\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}$

which is to say,

$\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}$

$\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81$

$\implies\dfrac uv=\pm27$

$\implies u=\pm27v$

Substituting this into the new system gives

$\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1$

$\implies u=\pm27$

Then

$\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13$

(meaning two solutions are (7, 13) and (-7, -13))

8 0

2 years ago

What is the equation of the graphed line in point-slope form?

Flura [38]

We first need to find the gradient of the line
$\frac{y_{2}- y_{1} } {x_{2}-x_{1} } = \frac{-3-1}{-3-3}= \frac{-4}{-6}= \frac{2}{3}$

From the graph, we see the graph intercepts y-axis at -1

Hence, the equation of the line is $y= \frac{2}{3}x-1$

5 0

2 years ago

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Simplify.<br> (2 x 108) + (4 * 103)<br> Give the answer in scientific notation

lions [1.4K]

Answer:

628

Step-by-step explanation:

216+412 = 628

First you get rid of the brackets by solving what's in them. Then you just add up the numbers and BOOM. The equation is solved. :-)

6 0

2 years ago