Answer:
f(-4)= 24
Step-by-step explanation:
-4(-4)+8 We need to multiply -4 and -4 and a negative times a negative is a positive.
16+8 Now it's easy math and we just add them
This gives us 24.
Answer:
y = 1/5x - 11
Step-by-step explanation:
perpendicular to a line means we flip the slope to opposite of what it is
in other wrds, since your slope is -5, your new slope for the line perpendicular to it would be 1/5.
Now we just use the same equation to find the y-intercept, which is b.
y = mx + b; m is your slope and b is your y intercept.
use the points given; (5, -10).
-10 = 1/5(5) + b
-10 = 1 + b
-11 = b
now put your equation together since you have all the pieces
y = 1/5x - 11
30% decrease
175 divided by 250 = 0.7
1 - 0.7 = 0.3
0.3 = 30%
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
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equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
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surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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By dividing each general term by 3.
Example:
(3/3=1)
