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Oksana_A [137]
3 years ago
15

The length of a rectangle is 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an

d width of the rectangle.
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

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natulia [17]

Answer:

h = 8

Step-by-step explanation:

Area of rectangle: base * height

So, by substituting the values given, we can write this equation:

Note: 1/4 = 0.25, so 3 1/4 = 3.25

A = b * h

26 = 3.25 * h

Divide both sides by 3.25.

h = 8

I hope this helps! Feel free to ask any questions!

3 0
3 years ago
Which graph represents the piecewise-defined function? y={−45x−3   if  x<03x−10   if  x≥2
Nikitich [7]

Step-by-step explanation:

y=\left \Bigg\{ {\big{-45x-3 \qquad x < 0} \atop \big{3x - 10 \qquad x \geq2 }} \right.

\begin {array}{c|c}{ x&y}}\\ -\infty&-\infty\\-2&-93\\-1&-48\\ 0 &-3^*\\1&nothing\\2&-4\\3&-1\\4&2\\ \infty&\infty\\\end{array}

* open dot

You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.

Make sure that:

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3 0
3 years ago
Choose the expression that represents a cubic expression.
tino4ka555 [31]

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3 years ago
Evaluate sigma 12 n=3-5n-1
Leni [432]
12n = 3-5n-1 or n =3-5n-1???

6 0
3 years ago
Approximate: log5 4/7
Evgesh-ka [11]
   Properties of Logs

logb(x/y) = log<span>bx</span> - log<span>by</span>.

therefore

log5 (4/7)= log5 (4)- log5 (7)

<span>Solve log 5 (4) and log 5 (7)  with the base change of the logarithm</span>

<span>log 5 4 = log 4 / log 5 </span>

 Use the calculator: 

<span> <span>log 5 4 =0.8613531161 </span></span>

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<span>log 5 7 =1.2090619551</span>

<span>log5 (4/7)= log5 (4)- log5 (7)=-0.347708839</span>

6 0
3 years ago
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