By <span>(x + 5/x^2 + 9x + 20) you apparently meant the following:
x+5
----------------------
x^2 + 9x + 20
and by
</span><span>(x^2-16/x-4)
x^2-16
you apparently meant ---------------
x - 4
Please use additional parentheses for clarity.
Dividing,
</span> x+5 (x-4)(x+4)
---------------------- * ---------------
x^2 + 9x + 20 x-4
Now, x^2 + 9x + 20 factors into (x+4)(x+5), so what we have now is
(x+5)(x+4)
------------------------- = 1 This is true for all x, so there are no exclusions.
(x+4)(x+5)
Answer: Kate = 40/3 Her father = 50
Step-by-step explanation:
Let Kate's age in the present be K
And Kate's father's age in the present be F
3(K+5) = F+5
6(K-6) = F-6
Rearrange the first equation to get
3K+15 = F+5
3K+10 = F
Substitute that into the second question
6K-36 = 3K+10-6
3K = 40
K = 40/3
So F = 3*40/3+10 = 50
soln,
here area of base = 25/4 unit ^ 2
height of the prism = 8/5 unit
so,
volume of prism = area of base x height of the prism


so the volume of the prism is 10 unit^2
Answer:
If you want me to be honest with you, I will be. The reason black people got their skin color is really because someone was born with a lot of melanin, and what caused that was basically the region and climate the people are living in. People in Africa are most likely to be darker than those who live in Northern Europe.
Step-by-step explanation:
Answer: Look below :)
Step-by-step explanation:
7. <u>AD</u> and <u>CD</u> are congruent. Each of the triangles are the same in length and shape (both are right triangles). They are the same but are mirrored over the line <u>BD.</u>
8. I have no idea. Sorry.