9514 1404 393
Answer:
47
Step-by-step explanation:
Evaluate the functions and find the required difference.
f(-2) = -(-2)^2 -7(-2) +4 = -4 +14 +4 = 14
g(6) = -5(6) -3 = -33
Then the difference is ...
f(-2) -g(6) = 14 -(-33) = 14 +33 = 47
Answer:
65.5 m
Step-by-step explanation:
Step 1. Find the width of the rectangle.
The formula for the area of a rectangle is
A = lw
Data:
A = 265.5 m²
l = 18 m
Calculation:
265.5 = 18w
w = 265.5/18 = 14.75 m
Step 2. Calculate the perimeter
The perimeter (P) of a rectangle is the sum of the lengths of its sides.
P = 2(l + w) = 2(18 + 14.75) = 2 × 32.75 = 65.5 m
The perimeter of the rectangle is 65.5 m.
Answer:
Division Property of Equality
Step-by-step explanation:
→In Step 4, it is shown that the equation is:
3x = 30
→However, to solve for x, you must get it by itself. This means you need to get rid of the 3 that's being multiplied. So since the 3 is being multiplied to x, you must do the opposite of multiplication, which is division.
→As you can see, the total of 30 is decreased in Step 5, since it has been divided by 3, giving you a total of 10.
This shows that the property of equality that yields Step 5 is the <u>Division Property of Equality.</u>
Answer:
A = .785 inches ^2
Step-by-step explanation:
C = pi *d
We know the diameter = 2*r
C = pi*2*r
Substituting pi = 3.14 we can solve for r
3.14 = 2*pi*r
3.14 = 2*3.14 *r
Divide by 3.14 on each side
3.14/3.14 = 2*3.14 *r/3.14
1 = 2r
Divide by 2
1/2 =2r/2
1/2 =r
Now we can find the area
A = pi *r^2
A = 3.14 *(1/2)^2
A= 3.14 *1/4
A = .785 inches ^2
