Answer:
P=2T-8, if T=12, Preston, P=24-8=16 years old.
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Answer:
C.
Step-by-step explanation:
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Answer:
x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)
Step-by-step explanation:
Solve for x:
x^2 + 4 x = 4
Add 4 to both sides:
x^2 + 4 x + 4 = 8
Write the left hand side as a square:
(x + 2)^2 = 8
Take the square root of both sides:
x + 2 = 2 sqrt(2) or x + 2 = -2 sqrt(2)
Subtract 2 from both sides:
x = 2 sqrt(2) - 2 or x + 2 = -2 sqrt(2)
Subtract 2 from both sides:
Answer: x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)
Given the equation:

(a) You can identify that the student applied the Subtraction Property of Equality by subtraction 3 from both sides of the equation:

However, the student made a mistake when adding the numbers on the right side.
Since you have two numbers with the same sign on the right side of the equation, you must add them, not subtract them and use the same sign in the result. Then, the steps to add them are:
- Add their Absolute values (their values without the negative sign).
- Write the sum with the negative sign.
Then:

(b) The correct procedure is:
1. Apply the Subtraction Property of Equality by subtracting 3 from both sides (as you did in the previous part):

2. Apply the Multiplication Property of Equality by multiplying both sides of the equation by 6:

Hence, the answers are:
(a) The student made a mistake by adding the numbers -18 and -3:

(b) The value of "x" should be:
Answer:
<u>-289 degrees</u>
Step-by-step explanation:
You are looking for what is called <u>Coterminal Angles</u>.
To find a coterminal angle between 0 and 360 you <u>add or subtract</u> 360.
- In this case, we subtracted 360 from 71
- 71 - 360 = -289
- tan(-289) = 2.90
- If TAN 71 = 2.90 and TAN -289 = 2.90, you know -289 is your answer.
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