What is the solution set of |- x| = - 10?
1 answer:
You might be interested in
Answer:
t ≈ -2.014 or 3.647
Step-by-step explanation:
Add the opposite of the expression on the right side of the equal sign to put the equation into standard form.
4.9t² -8t -36 = 0
You can divide by 4.9 to make this a little easier to solve.
t² -(8/4.9)t -36/4.9 = 0
Now, add and subtract the square of half the x-coefficient to "complete the square."
t² -(8/4.9)t +(4/4.9)² -36/4.9 -(4/4.9)² = 0
(t -4/4.9)² -192.4/4.9² = 0 . . . . simplify
Add the constant term, then take the square root.
(t -4/4.9)² = 192.4/4.9²
t -4/4.9 = ±(√192.4)/4.9
t = (4 ± √192.4)/4.9
t ≈ {-2.014, 3.647}
Answer:
The coordinates of the P' point are (-17.3,-10).
Step-by-step explanation:
We can use the components of the vector from 0 to P point. We know that the diameter is 40 meters, so the magnitude of the vector will be 20 m.
Now, the angle from the negative x-direction to the vector is 210°-180° = 30°.
The x-component of the vector will be:
It is negative because the component is in the negative x-direction.
The y-component of the vector will be:
It is negative too because the component is in the negative y-direction.
Therefore, the coordinates of the P' point are P'(-17.3,-10)
I hope it helps you!