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3 years ago

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:

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;

y = -x + 84

y = x² + 6

<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;

y = -x + 84

y = x² + 6

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

#SPJ1

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.

$\underline{\text{GIVEN:}}$

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

You have to solve with parentheses first.

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

Solve.

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

x(-5x)=-5x²

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

3*3x²=9x²

3(-5x)=-15x

3(-10)=-30

Then, rewrite the problem down.

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

Combine like terms.

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

Add/subtract the numbers from left to right.

-5x²+9x²=4x²

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

Solve.

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

Then rewrite the problem.

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

Therefore, the correct answer is 3x³+4x²-25x-30.

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

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2 years ago

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Dan is framing a picture of his baseball team.

katrin2010 [14]

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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3 years ago

The planets close to the sun are

solmaris [256]

Answer:

small and gaseous.

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3 years ago

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Which of the following is the difference of two squares?

JulijaS [17]

Step-by-step explanation:

ATTACHED IS THE SOLUTION!

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2 years ago