This problem can be modeled by the picture shown below. We notice that we are given to side lengths, specifically legs, of the triangle. Therefore, we can use the Pythagorean Theorem, which states that a^2+b^2=c^2, where a and b are legs and c is the hypotenuse. So we can do:
16^2+12^2=c^2
256+144=c^2
400=c^2
The square root of 400 is
20, which is our hypotenuse.
(You might wonder why we used 12, that is because the whole base length is 24, but we only need half of the base to use the Pythagorean Theorem. 24/2 is 12).
:)
2^2x=5^x−1
Take the log pf both sides:
ln(2^2x) = ln(5^x-1)
Expand the logs by pulling the exponents out:
2xln(2) = (x-1)ln(5)
Simpligy the right side:
2xln(2) = ln(5)x - ln(5)
Now solve for x:
Subtract ln(5)x from both sides:
2xln(2) - ln(5)x = -ln(5)
Factor x out of 2xln(2)-ln(5)x
x(2ln(2) - ln(5)) = -ln(5)
Divide both sides by (2ln(2) - ln(5))
X = - ln(5) / (2ln(2) - ln(5))
ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :

We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.

This simplifies to,


Hence the image is (2,2)
We are given

we know that

so, we get
opposite =7
adjacent=24
now, we can find hypotenuse


now, we can draw triangle and then switch vertices accordingly
we can find cos(B) using second triangle

In second triangle:
adjacent=7
hypotenuse =25
so, we get
................Answer
Answer:
(5x + 2) - (-9x - 2)
O 11x2 – 5x + 8
14x + 4
–6x2 + 8x 7
-X2 + 6
Step-by-step explanation: