Plugging into the Given Formula the value of y:
Multiply the left side:
Add 14 to both sides to get:
Divide both sides by 8 and we get:
Therefore, x=7 and the proof is complete
Step-by-step explanation:
area of the base is the area of the rectangle 5×12.
B = 5×12 = 60 in²
the height h is then the side going up from that base rectangle : 4 in.
the perimeter of the base (rectangle) is 2×length + 2×width
P = 2×12 + 2×5 = 24 + 10 = 34 in.
1. Answer: D. <span>A = 100 (1/2)^t/13.27
</span>Exponent equation formula would be an= a0( 1+r)^t
In this question, the radio isotopes will become half of its weight after the half-life. So, the ratio would be -0.5 (r= -0.5)
The halftime is 13.27 hours, so the time will be divided by that number. The result would look like this:
an= a0( 1+r)^t
an= a0( 1-0.5)^t/13.27
an= a0( 1/2)^t/13.27
2. Answer: x= 74°
<span>The ladder and the building will make a right triangle with the ladder as the hypotenuse.
The foot of the ladder is 2 feet from the building, so the adjacent side is 2ft.
It reaches a point 7 feet high on the building, so the opposite side is 7ft</span>
You can find the angle by using the tan equation
tan x= opposite / adjacent
tan x= 7/2= 3.5
x= 74°
Here is your solution,
(-5)^2 - √25 - 4 x (-14)/2
25 - √ 25 + 56/2
25 - √81/2
(25 - 9)/2 = 16/2 = 8
or
25 + √25 +56/2
25 + √81/2
(25 + 9)/2 = 34/2 = 17
So m = 8,17
