Answer:
the length of the altitude is 7.5 cm
Step-by-step explanation:
In a Δ ABC,
is the altitude
If an altitude is drawn to the hypotenuse of the right angle triangle as shown in the image attached below; Then:

NOW;

Finally; the altitude which is
is calculated as:

Thus; the length of the altitude is 7.5 cm
5(2x - 8) + 15 = -15
-15 -15 subtract 15 from each side
5(2x - 8) = -30
÷5 ÷5 divide both sides by 5
2x - 8 = -6
+8 +8 add 8 to each side
2x=2
÷2 ÷2 divide both sides by 3
x = 1
Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
-30 + 15 = -15
-15 = -15 Correct! x=1
Hey Katie
4^2x+3 = 1
We need to solve for x
log(4^2x+3) = log (1)
Now take log of
(2x +3) * log (4) = log (1)
2x + 3 = log(1)/log(4)
2x + 3 = 0
2x = 0 - 3
2x = -3
x = -3/2
I hope that's help !