Answer: 686ft
Step-by-step explanation: 0
Replace each "x" in the original equation with (4):
3(4)^2 + 2(4) - 5
= 3(16) + 8 - 5 = 48 + 8 - 5. Can you finish this?
Answer:
The point slope formula is
(y−y1)=m(x−x1)
Where m = the slope calculated as y2−y1x2−x1
(x1,y1)(x2,y2)
(-4 , 1) (-2 , 3)
Solve for the slope
m = 3−1−2−(−3) = 21 = m = 2
(y−3)=2(x−(−2)) Plug in known values.
y−3=2(x+2) Simplify signs
y−3=2x+4 Use Distributive property
y=−2x+4+3 isolate the y variable
answer (y = −5x+7 ) Simplify
0.05 * 10 =0.5
If you want an equivalent expression as division simply divide both sides by either 0.05 or 10 and it'll be dividing:
10 = 0.5/0.05 OR 0.05 = 0.5/10
Answer:
The factorization of
is 
Step-by-step explanation:
This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form
or
. It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).
Let's solve the factorization of
by using the <em>sum and difference of cubes </em>factorization.
1.) We calculate the cubic root of each term in the equation
, and the exponent of the letter x is divided by 3.
![\sqrt[3]{729x^{15}} =9x^{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729x%5E%7B15%7D%7D%20%3D9x%5E%7B5%7D)
then ![\sqrt[3]{10^{3}} =10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E%7B3%7D%7D%20%3D10)
So, we got that
which has the form of
which means is a <em>sum of cubes.</em>
<em>Sum of cubes</em>

with
y 
2.) Solving the sum of cubes.


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