Woah I haven’t done this in a while but all sides have to add up to 180 and the top angle is 60 because it’s a 30, 60, 90 triangel.
A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
Answer:
Graph uploaded!
Step-by-step explanation:
<u>First, let's solve the distributive property.</u>
- 4/5(x - 2) ≤ 6
- => 4x/5 - 8/5 ≤ 6
- => 4x/5 ≤ 6 + 8/5
- => 4x/5 ≤ 38/5
- => x ≤ 19/2
Now, let's plot this inequality on the line. Please check my graph.
Hoped this helped!
Answer:
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Step-by-step explanation:
