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muminat
3 years ago
9

(01.05 LC)

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0
I think it is c. Hope this helps!
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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
License plates in a particular state display 4 letters followed by 2 numbers. How many different license plates can be manufactu
bezimeni [28]
Depends on how many cars your talking about.Be more descriptive.
7 0
3 years ago
Read 2 more answers
If anyone knows the answer to this can you help me
Murljashka [212]

Answer:

<h3>             C.    y + 7 = -7(x - 3)</h3>

Step-by-step explanation:

The equation of a line is:

                          y - y₀ = m(x - x₀)

where <em>m</em> is the slope and <em>(x₀, y₀)</em> is the point which the line passes through

The product of slopes of two perpendicular lines is  -1

so if given lines slope is ¹/₇ them:

     ¹/₇·m = -1

        m = -7

(3, -7)     ⇒    x₀ = 3,  y₀ = -7

Therefore:

               y - (-7) = -7(x - 3)

                <u> </u><u>y + 7 = -7(x - 3) </u>

4 0
3 years ago
Which of the following best describes the pattern in the diagram as you move<br> from left to right?
olga_2 [115]
The answer is a, it adds one block
5 0
3 years ago
Look at the picture. Solve for y
Mumz [18]

Answer:

y = 5

Step-by-step explanation:

<u>Equation:</u>

m<DGF = m<DGE + m<EGF

<u>Given:</u>

m<DGF = 12y - 5

m<DGE = 5y + 6

m<EGF = 24

<u />

<u>Work:</u>

m<DGF = m<DGE + m<EGF

12y - 5 = 5y + 6 + 24

12y - 5 = 5y + 30

12y - 5y = 30 + 5

7y = 35

y = 5

5 0
3 years ago
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