If x = 4 and y = 7, evaluate the - following expression: 20 +2(3y - 4x)

Mathematics

2 answers:

Andrei [34K]3 years ago

8 0

Answer:

Step-by-step explanation:

20+2(3*7 - 4*4)

20+2(21-16)

20+2*5

20+10

Viktor [21]3 years ago

7 0

The answer is 30 ma boi

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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]

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Length = 10 ft

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

What to find:

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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: