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BabaBlast [244]

2 years ago

12

The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents th

e perimeter, in centimeters, of the rectangle?

1 answer:

dedylja [7]2 years ago

4 0

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w) where l is the length and w is the width

=2( 7h+8 + 2h-6)

Combine like terms

= 2( 9h+2)

Distribute

= 18h +4

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2 years ago

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Answer: $\bold{\dfrac{4\pm \sqrt{6}}{2}}$

<u>Step-by-step explanation:</u>

$\dfrac{3}{y-2}-2=\dfrac{1}{y-1}\\\\\\\text{Multiply by the LCD (y-2)(y-1) to clear the denominator:}\\\\\dfrac{3}{y-2}(y-2)(y-1)-2(y-2)(y-1)=\dfrac{1}{y-1}(y-2)(y-1)\\\\\\3(y-1)-2(y-2)(y-1)=1(y-2)\\\\3y-3-2(y^2-3y+2)=y-2\\\\3y-3-2y^2+6y-4=y-2\\\\-2y^2+9y-7=y-2\\\\0=2y^2-8y+5\quad \rightarrow \quad a=2,\ b=-8,\ c=5\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(2)(5)}}{2(2)}\\\\\\.\ =\dfrac{8\pm \sqrt{64-40}}{2(2)}$

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7 0

3 years ago

How do I find the factor of the trinomial of y^2+7y-30

wel

Find two numbers that multiply to -30 (last term) and add to 7 (middle coefficient)

The two numbers are 10 and -3
10 times -3 = -30
10 plus -3 = 7

Using those two values gets us the two factors (y+10) and (y-3)

Therefore, y^2+7y-30 factors to (y+10)(y-3)

The equation y^2+7y-30 = (y+10)(y-3) is true for all values of y.

7 0

3 years ago