The goal is to get x by itself. All we need to do is work around it.
1. -5x + 2 = 67
2. The reversed operation, or the opposite operation, for addition is subtraction. Thus subtract 2 from 67 and 2. The 2 should cancel itself out. -5x + [2-2=0] = 67 - 2 = 65 -> -5x = 65.
3. The reversed operation, or the opposite operation of multiplication is division. Thus divide 65 and-5 as well as -5 and -5. [-5/-5x = 1x. 1x -> 1 * x = x.] = 65/-5 = -13 -> x = -13.
4. Check your answer by plugging in -13 where x is. Solve with pemdas.
-5(13) + 2 = 67 -> 65 + 2 = 67 -> 67 = 67. Therefore the answer is -13.
Answer:
3 milkshakes will cost 0.75 cents
4 milkshakes will cost $1.00
Step-by-step explanation:
3 x 0.25 = 0.75
4 x 0.25 = 1.00
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Answer:
B. 33
Step-by-step explanation:
The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...
x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2
x = 33
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The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...
Sin = Opposite/Hypotenuse
Tan = Opposite/Adjacent
Using these relations, we can find the sides of interest:
Opposite = Hypotenuse × Sin . . . . for the 45° triangle
Opposite = Adjacent × Tan . . . . . . for the 60° triangle
where the side opposite the 45° angle is the side adjacent to the 60° angle.
Parallel line means they have the same slope
y = mx + b
where m = slope
y = -3 + 4
here the slope is negative 3
y = -3x + b
plug in (4, 8)
8 = -3(4) + b
b = 8 + 12
b = 20
The answer is y = -3x + 20
