3. tan(α) = height/distance
distance = height/tan(α)
distance = (648 m)/tan(13°) ≈ 1399.5 m
6. when y = |x| is translated 6 units down, 6 is subtracted from the y-value:
.. y = |x| -6
10. In point-slope form, the line through point (h, k) with slope m is
.. y -k = m(x -h)
For (h, k) = (10, -9) and m = -2, you have
.. y +9 = -2(x -10)
Answer:
Step-by-step explanation:
You only need to isolate the term a to solve this problem.
Add by 3 from both sides.
Solve.
0+3=3
a/7<3
Multiply by 7 from both sides.
Solve.
3*7=21
<u>a<21</u>
As a result, the solution is a<21, which is our answer.
Answer:
Nancy
Step-by-step explanation:
Her pumpkin weighed more
Answer:
![\sqrt[4]{16x^{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16x%5E%7B3%7D%20%7D)
Step-by-step explanation:
Solve using the formula : ![a^{\frac{x}{n} } =\sqrt[n]{a^{x} }](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7Bn%7D%20%7D%20%3D%5Csqrt%5Bn%5D%7Ba%5E%7Bx%7D%20%7D)
Answer:
x= -7 , 3
Step-by-step explanation:
x^2 + 4x + 4 = 25
I will use completing the square. The left side is a perfect square
(x+2) ^2 = 25
Take the square root of each side
sqrt((x+2) ^2) = sqrt(25)
x+2 = ±5
Subtract 2 from each side
x+2-2 = ±5 -2
x = ±5 -2
x =-5-2 x = 5-2
x = -7 x = 3
