4(-6x – 3) + 24x = -72x + 132
Step 1 -24x – 12 + 24x = -72x + 132 Distribute Property of Equality
Step 2: –12 = -72x + 132 equivalent
Step 3: -144 = -72x Subtraction Property of equality
Step 4: 2 = x Equivalent / Division property of equality
7π/12 lies in the second quadrant, so we expect cos(7π/12) to be negative.
Recall that
which tells us
Now,
and so
Answer:
52
Step-by-step explanation:
i did the math
<u>Answer</u>
<em>12 in by 12 in</em>
<u>Explanation</u>
The original length = x
This makes the length of the cube made to be = x - (2×2)
= (x - 4) in
height of the cube = 2 in
Volume of the cube = (x - 4) × (x - 4) × 2 = 128
= (x² - 8x + 16) × 2 = 128
= 2x² - 16x + 32 = 128
= 2x² - 16x + 32- 128=0
= 2x² - 16x - 96 = 0
= x² - 8x - 48 = 0
lets use the factor method to solve the quadrilatic equation above,
x² - 8x - 48 = 0
proctuct = -48
sum = -8
The two factors are; -12 and 8.
(x + 8)(x - 12) = 0
So the value of x are 12 and -8. Since x is a length, it can not be negative.
∴ x = 12 in.
The original dimensions of the sheet are <em>12 in by 12 in</em>.
Each girl started with 15 dollars.
4$ is the ending amount
x= the amount of money each girl received
4= 2x - 2(13)
Since there were two girls who both received x amount of money, x is multiplied by two. Since both the girls spent 13 dolars on lunch, their original amount is subtracted by 13 times two, since there are two lunches being bought. The end amount of money is four.
to solve:
4= 2x - 2(13)
4= 2x - 26 Simplify by combining like terms
30= 2x Isolate the variable by adding 26 to both sides
15=x Continue to isolate the variable by dividing both sides by two
Each girl started with 15 dolars. Each girl spent thirteen dolars on lunch and had two dolars left over. Each girls' two dolars left over adds up to four dollars.
