Answer:
Step-by-step explanation:
Volume of the box = x³ +11x² + 20x – 32 I think the ' is a typo for ³
the width is x-1 and the height is x+8
Find an expression for the length
Vol = LWH solve L
Vol / (WH) = L so
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
so it would help to factor the numerator
(x³ +11x² + 20x – 32) I'm willing to bet (x-1) and (x+8) are factors
but I will plot the equation to find the three roots
(x³ +11x² + 20x – 32) = (x-1) (x+8) (x+4)
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
= (x-1) (x+8) (x+4) / (x-1) (x+8) the (x-1) and (x+8) cancel out leaving
L = (x + 4)
Answer: (2x+5)(2x−5)
Step-by-step explanation:For me, what i like to do is to try divide the problem into two parts. For example in this problem, you would divide the 4x^2 into two 4x(since 4x+4x = 4x^2). Then 25 can be divide into into 5s (5x5=25). SInce you know that its a negative 25, you know that it has to be a negative on one of the sides. So the answer in factor form is (2x+5)(2x−5)
<em>Hi there!</em>
<em>This should be easy,lol!</em>
<em>Answer:</em>
<em />![\sqrt[3]{-128} = \boxed{-128 \sqrt{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-128%7D%20%3D%20%5Cboxed%7B-128%20%5Csqrt%7B3%7D%20%7D)
<em> (Decimal: -221.702503)</em>
<em />![\sqrt[3]{162} = \boxed{162 \sqrt{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162%7D%20%3D%20%5Cboxed%7B162%20%5Csqrt%7B3%7D%20%7D)
<em> (Decimal: 280.592231)</em>
<em />![\sqrt[3]{-1000x^4} = \boxed{-1732.050808x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1000x%5E4%7D%20%3D%20%5Cboxed%7B-1732.050808x%5E4%7D)
<em />
<em>Sorry bout the explanation thingy. Their really long -.-!</em>
<em>But the last one is short so i'll put it for you!</em>
<em>Step-by-step explanation:</em>
<em>∴!For the last one!∴</em>
<em />![\sqrt[3]{-1000x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1000x%5E4%7D)
<em />
<em>Simplifies to:</em>
<em />
<em />
<em />
<em> </em>
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<em>Have a great day/night!</em>
k = 5
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Since the coefficient of the x² term is 1 then
add/ subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5
Answer:
Step-by-step explanation:
AB^2 = HB^2 + AH^2 => AB = 15cm
Ta co cong thuc: 1/AH^2 = 1/AB^2 + 1/AC^2 => AC=20cm
Vay SABC= 1/2 .AB.AC = 1/2 .15.20=150cm^2
