Answer:
![\textsf{A)} \quad 5u^3-2u^2+5u+8](https://tex.z-dn.net/?f=%5Ctextsf%7BA%29%7D%20%5Cquad%205u%5E3-2u%5E2%2B5u%2B8)
Step-by-step explanation:
Given expression:
![(-2u^3+5u-1)+(7u^3-2u^2+9)](https://tex.z-dn.net/?f=%28-2u%5E3%2B5u-1%29%2B%287u%5E3-2u%5E2%2B9%29)
Remove parentheses:
![\implies -2u^3+5u-1+7u^3-2u^2+9](https://tex.z-dn.net/?f=%5Cimplies%20-2u%5E3%2B5u-1%2B7u%5E3-2u%5E2%2B9)
Collect like terms:
![\implies -2u^3+7u^3-2u^2+5u-1+9](https://tex.z-dn.net/?f=%5Cimplies%20-2u%5E3%2B7u%5E3-2u%5E2%2B5u-1%2B9)
Combine like terms:
![\implies 5u^3-2u^2+5u+8](https://tex.z-dn.net/?f=%5Cimplies%205u%5E3-2u%5E2%2B5u%2B8)
<span>Given that Devorah
is filling a pool with a hose. The volume.H. In liters, of water coming
out of the hose in .m.minutes is given by the function H(m)=17.4m.
However it is a sunny day, and water is also evaporating from the pool.
Therefore,the volume ,V, in liters, of water in the pool m minutes after
devorah started filling it is given by V(m)=17m.
IfE be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it .
The formula for E(m) in terms of H(m) and V(m) is given by
E(m) = H(m) - V(m)
And
The formula for E(m) in terms of m is given by
E(m) = 17.4m - 17m = 0.4m</span>
Answer:
25.2 minutes
Step-by-step explanation:
step 1
Find the area of the given wall
![A=(7)(6)=42\ ft^2](https://tex.z-dn.net/?f=A%3D%287%29%286%29%3D42%5C%20ft%5E2)
step 2
we know that
You can paint 75 square feet of a surface every 45 minutes
so
using proportion
Find out how long it takes you to paint a surface area of 42 square feet
![\frac{75}{45}\ \frac{ft^2}{min}=\frac{42}{x}\ \frac{ft^2}{min}\\\\x=45(42)/75\\\\x=25.2\ min](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B45%7D%5C%20%5Cfrac%7Bft%5E2%7D%7Bmin%7D%3D%5Cfrac%7B42%7D%7Bx%7D%5C%20%5Cfrac%7Bft%5E2%7D%7Bmin%7D%5C%5C%5C%5Cx%3D45%2842%29%2F75%5C%5C%5C%5Cx%3D25.2%5C%20min)
<span>Perpendicular bisector is a<span> line which cuts a line segment into two equal parts at 90° </span>⇒
MN ⊥ BC
BM = CM</span>