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 three ways that the expression can be written as a ratio is 96 : 38, 38 : 96 and 48 : 19.
96 : 38 is the same as 38 ; 96 because the ratios mean the same thing.
The ratio of sci-fi movies to comedy movies is 38 : 46.
The ratio in the simplest form is 19 : 23.
<h3>What does ratio mean?</h3>
Ratio expresses the relationship between two numbers. It shows the number of times that one value is contained within other value. The sign used to represent ratio is :.
To learn more about ratios, please check: brainly.com/question/25927869
For B
sec=26/10
sec=2.6
For A
sec=24/10
sec=2.4
The secant of an angle is the length of the hypotenuse divided by the length of the adjacent side
Answer:36mm
Step-by-step explanation:
6 times 6 equals 36
36 is the perimeter