Combine like terms to get 11=-11k-22 then add -22 to both sides to get 33=-11k. then divide by -11. so k=-3
A)
y=2^x
4^x=2^(2x)=y²
solution:
y=2^x hence y²=4^x
chek:
x=5 ⇒ y=2⁵=32
4⁵=1024
y₂=32²=1024
b)
8(4^x)-9(2^x)+1=0
8(2^(2x)-9(2^x)+1=0
2^x=t
8t²-9t+1=0
We solve the quadratic.
t₁=1/8 ⇒2^x=1/8
2^x=1/2³
2^x=2⁻³
x=-3
t₂=1 ⇒ 2^x=1 ⇒x=0
Solutions:
x=-3
x=0
The volume of the triangular prism is 1756.3 cubic yd option second is correct.
<h3>What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
We know that the volume of a triangular prism is given by:

Where b is the base length, l is the base width, and h is the height of the prism.

h = 11.2583 yd
b = 13 yd
l = 24 yd

V = 1756.29 ≈ 1756.3 cubic yd
Thus, the volume of the triangular prism is 1756.3 cubic yd option second is correct.
Learn more about the volume here:
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9514 1404 393
Answer:
3 cm
Step-by-step explanation:
The largest possible square will have a dimension that is the greatest common factor of 12 and 15. That number is 3.
The largest square is 3 cm.
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The paper will be cut into 5 squares lengthwise and 4 squares across.