Answer:
Step-by-step explanation:
Look at the picture.
ΔADC and ΔCDB are similar. Therefore the sides are in proportion:
We have
Substitute:
<em>cross multiply</em>
For x use the Pythagorean theorem:
Answer:
The answer is -6 but its not in the option
Step-by-step explanation:
Let x = -5
[(-5)²-1]/(-5+1)
= (25-1)/(-4)
= 24/-4
= -6
Its C. 4.31 x 10^-5 = 0.0000431
Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
Answer:
The answer to your question is below
Step-by-step explanation:
Equation 1
$sweatshirt = 2 pair of shorts
<u> w = 2h</u>
Equation 2
$t-shirt = $pair of shorts - $4
<u> t = h - 4</u>
Equation 3
Total cost = 3 sweatshirts + 2 pairs of shorts + 5 t-shirts
<u>Total cost = 3w + 2h + 5t = 136 </u>
