Answer:
The value of k is -11
Step-by-step explanation:
If (x+2) is a factor of x3 − 6x2 + kx + 10:
Then,
f(x)=x3 − 6x2 + kx + 10
f(-2)=0
f(-2)=(-2)³-6(-2)²+k(-2)+10=0
f(-2)= -8-6(4)-2k+10=0
f(-2)= -8-24-2k+10=0
Solve the like terms:
f(-2)=-2k-22=0
f(-2)=-2k=0+22
-2k=22
k=22/-2
k=-11
Hence the value of k is -11....
Answer:
52.8 feets
Step-by-step explanation:
From the diagram :
The height of tree woulb be :
Height above the ground (at breakpoint) + hypotenus
Hypotenus, h cab be obtained using Pythagoras rule :
h² = opp² + adj²
h² = 39² + 12²
h² = 1665
h = sqrt(1665)
h = 40.804 feets
Height of tree to the nearest tenth ;
40.804 feets + 12 feets
= 52.804 feets
= 52.8 feets
Answer:
D. Infinite solutions.
Step-by-step explanation:
Since they give us the equation for (y) we just implement that equation in place of (y) in the second equation
15x+3y=27 now becomes
15x+3(-5x+9)=27
Distribute the 3
15x-15x+27=27
15x and -15x cancel out
27=27
Infinite solutions since both sides are exactly equal.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
<h2>Pi/4(4r²/3)</h2>
Step-by-step explanation:
D is the correct option.
Answer: 14 1/15
Step-by-step explanation:
4 2/5 + 9 2/3 = 13 + 6/15 + 10/15 = 13 + 16/15 = 14 1/15
