Answer:
4608*sqrt(3)
Step-by-step explanation:
x + 2x = 3x, so 3x is the height of the triangle. This is a 90-60-30 triangle so the base would be 3x*sqrt(3). To find the area, we can multiply the base with the height and divide by two, so it would be (3x)(3x*sqrt(3))/2 or (9/2)x^2 * sqrt(3). x = 32, and plugging this into the equation gets us to (9/2)32^2 * sqrt(3), which is 4608*sqrt(3).
Answer:
all real values of x where x < -1
Step-by-step explanation:
See attached graph.
Step-by-step explanation:
all the explanation is in the photo
The general vertex form of a parabola is <span>y = a(x-h)^2 + k
Any changes in "a" denotes shrinking or stretching
Changes in "h" denotes being shifted to the left or to the right. If the value of "h" when x - h = 0 is positive, then it is shifted to the right. Otherwise, it is shifted to the left.
As seen in the given vertex form </span><span>g(x) = 2(x – 7)^2 – 95; x - 7 = 0; x = 7. Therefore, the graph is shifted right 7 units.</span>
Answer:
b)11
since 11^2 is 11*11 = 12
and when you take the square root of 121
we get 11
(in b- √11^2) , it cancels out the square
square root cancels square since they perform opposite functions