6(x+5)² + 5(x+5)-4 = 0
(x+5)(x+5) = x(x+5)+5(x+5) = x² + 5x + 5x + 25 = x² + 10x + 25
6(x²+10x+25) + 5(x+5) - 4 = 0
6x² + 60x + 150 + 5x + 25 - 4 = 0
6x² + 60x + 5x + 150 + 25 - 4 = 0
6x² + 65x + 171 = 0
<span>u = (x + 5)</span>
Answer:
Perimeter= 44.2 inches
Area= 70 inches squared
Step-by-step explanation:
Perimeter- Add all your sides together (10+ 17.2+2+3+7+5=44.2)
Area- 1/2bh (b=base, h=height)
Your base is the bottom of the triangle, so 2+7+5=14.
14 is your base
Your height is the 10
1/2 *14*10
1/2 of 14 is 7
7*10= 70
Don't forget to write inches squared or it will be wrong
Hope this helps :)
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➷ I'm assuming the answer is to be left in algebraic form.
Perimeter = length + length + width + width or (2 x length) + (2 x width)
Substitute the values in:
Perimeter = 2(3x - 5y - 4z) + 2(x - 3y + 5z)
Simplify:
Perimeter = 6x - 10y - 8z + 2x - 6y + 10z
Perimeter = 8x - 16y + 2z <== this is the answer
<h3><u>
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²
<h3>How to find area of a rectangle?</h3>
The pen is rectangular. Therefore,
area of a rectangle = lw
where
Therefore,
perimeter = 2w + l
perimeter = 2w + x
130 = 2w + x
130 - x = 2w
w = 65 - 1/ 2 x
A = xw
A = x(65 - 1/ 2 x)
A = 65x - 1 / 2 x²
Therefore, the function that represents A, the area of the pen is as follows:
A = 130x - x²
learn more on rectangle here: brainly.com/question/12685460
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Answer:
1/4 gallon
Step-by-step explanation:
4 quarts = 1 gallon, so 1 quart = 1/4 gallon.
