Area of a triangle = 1/2 base * height
A = 1/2 (10)* 20
A= 5*20
A = 100 cm^2
Choice C
Answer:
x = -2
Step-by-step explanation:
2(x-2) = 3(x+2)-8
Multiply the 2 and 3 out to the numbers in the parentheses. Don't multiply the 3 out to the -8 because it is outside of the parentheses.
2x-4 = 3x+6-8
Combine the 6 and -8
2x-4 = 3x-2
Subtract 2x from both sides
-4 = x-2
Add 2 to both sides
-2=x
Answer: The new boxes are 14 ft3 larger.
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of each box and compare them.
Volume of a rectangular prism = base x height x length
Replacing with the values given:
Old boxes volume: 4 x 2 x 2 =16 cubic feet
New boxes' volume: 3 x 5 x 2 = 30 cubic feet
Subtraction the old boxes volume to the new boxes volume:
30 ft3- 16 ft3 = 14 ft3
The new boxes are 14 ft3 larger.
Answer:
1. x=27
2. x=11 or x=-7
3. x=4
4. x=1 or 
5. x=12
6. x=11 or x=-1
7. x=8
8. x=3 or x=1
9. 
or x=-4
10.x=7 or x=1
Step-by-step explanation:
For the first 8, the absolute value portion is just substituted in for x, so we can skip some of the repeated work that would occur in these. For the absolute value problems, there are two solutions each. When you remove an absolute value, you have to add a plus or minus to each side and solve for each.
1. 
2. 
3. 
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8. 
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10. 
