Explanation:
Step 1) Add
4
to each side of the equation to isolate the
x
term while keeping the equation balanced:
12
x
−
4
+
4
=
32
+
4
12
x
−
0
=
36
12
x
=
36
Step 2) Divide each side of the equation by
12
to solve for
x
while keeping the equation balanced:
12
x
12
=
36
12
12
x
12
=
3
x
=
3
Answer:
h = -t+20
After 8 hours the candle will be 12 inches
Step-by-step explanation:
We have 2 points (time, inches)
(3,17) and (5,15)
We can find the slope
m = (y2-y1)/(x2-x1)
= (15-17)/(5-3)
= -2/2
= -1
We can use point slope form
y-y1 = m(x-x1)
Replace y with h and x with t
h-17 = -1 (t-3)
Distribute
h-17 = -t+3
Add 17 to each side
h-17+17 = -t+3+17
h = -t+20
After 8 hours
h = -t+20
h = -8+20
h= 12
Answer:
If we have to model a decimal using fraction , This is the way you should write
a^2 +b^2 = (2.5sqrt(2))^2
2a^2 = 6.25 *2
a^2 = 6.25
a = sqrt(6.25)
a = 2.5
length of each side = 2.5 units