1 2 3
1 2 3 1 2 3 1 2 3
123 123 123 123 123 123 123 123 123
3 3 3 3 3 3 3 3 3
3(9)
27
Answer:
c
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Answer:

Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form

Because the parameter
is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have

Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is
.
Remember:
a^m * a^n=a^(m+n)
a^-m=1/a^m
8³ x 8⁻⁵=8³⁻⁵=8⁻²=1/8²=1/64<1
Answer: the student is not correct, because 1/64<1, and 8³ x 8⁻⁵=1/64.
Answer:
x=5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
9 15
------ = ----------
2x-1 3x
Using cross products
9*3x = 15(2x-1)
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x -15
-3x = -15
Divide by -3
-3x/-3 = -15x/-3
x = 5