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Step2247 [10]
3 years ago
10

if a rectangle has an area of 60 square yards and the length is w+4 and the width is w what is the length?

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

28

Step-by-step explanation:

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The sum of two numbers is 84. The square of the first number is 6 more than the second number.
DerKrebs [107]

The system of equations to find the value of x, the first number, and y, the second number are;

<em>y = -x + 84</em>

<em>y = x² + 6</em>

<h3>System of equation</h3>

The system of equation are equations that contains more than two equation and unknown.

Let the two unknown numbers x and y

If the sum of two numbers is 84, hence;

x +y = 84

y = -x + 84

If the square of the first number is 6 more than the second number, hence;

x² = y + 6

Substitute equation 2 into 2 to have:

x² = y + 6

x² = (-x+84) + 6

x² = -x+84 + 6

x² +x+84 + 6  = 0

x² +x + 90 = 0

Hence the system of equations to find the value of x, the first number, and y, the second number are;

<em>y = -x + 84</em>

<em>y = x² + 6</em>

Learn more on system of equation here; brainly.com/question/12861087

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4 0
2 years ago
(x+3)(3x² - 5x - 10) multiply polynomial
brilliants [131]

Answer:

  • \boxed{\sf{3x^3+4x^2-25x-30}}

Step-by-step explanation:

\underline{\text{SOLUTION:}}

To isolate the term of x from one side of the equation, you must multiply by a polynomial.

\underline{\text{GIVEN:}}

:\Longrightarrow: \sf{(x+3)(3x^2 - 5x - 10)}

<u>You have to solve with parentheses first.</u>

:\Longrightarrow \sf{x\cdot \:3x^2+x\left(-5x\right)+x\left(-10\right)+3\cdot \:3x^2+3\left(-5x\right)+3\left(-10\right)}

<u>Solve.</u>

\sf{x*3x=3x^3}

x(-5x)=-5x²

\sf{x(-10)=-10x}

3*3x²=9x²

3(-5x)=-15x

3(-10)=-30

<u>Then, rewrite the problem down.</u>

\sf{3x^3-5x^2-10x+9x^2-15x-30}

<u>Combine like terms.</u>

\Longrightarrow: \sf{3x^3-5x^2+9x^2-10x-15x-30}

<u>Add/subtract the numbers from left to right.</u>

-5x²+9x²=4x²

\Longrightarrow: \sf{3x^3+4x^2-10x-15x-30}

<u>Solve.</u>

\sf{-10x-15x=-25x}

<u>Then rewrite the problem.</u>

\Longrightarrow: \boxed{\sf{3x^3+4x^2-25x-30}}

  • <u>Therefore, the correct answer is 3x³+4x²-25x-30.</u>

I hope this helps! Let me know if you have any questions.

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D, as a frame goes around the entire photo, so having the perimeter would show the length of wood needed to surround the photo.
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The planets close to the sun are
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Answer:

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Step-by-step explanation:

  • ATTACHED IS THE SOLUTION!

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