5 * 2 = 10
3^10/3^-2, same base, add
10 - 2 = 8
Solution: 10^8
6. 6th grade- go to the two columns above $600, which is about 8 students in the first column and 5 students in the 2nd. 8 + 5 = 13, so 13 students in 6th grade earned $600 or more.
7th grade- again, go to the columns above $600, which is about 7 students in the first column and about 3 in the 2nd column. 7 + 3 = 10, so 10 students in 7th grade earned $600 or more.
Do the same thing for #7, just follow the rows exactly as #6.
Step-by-step explanation:
curved surface area =
perimeter of triangular base × length
= 3×8 + 12
= 24 + 12
= 36mm^2
total surface area
= curved surface area + 2× area of triangular base
= 36 + 2 × root3 ×8^2 ÷ 4
= 36 + 2 × root3 × 16
= 36 + 2× 27.71
= 36 + 55. 425
= 91.425 mm^2
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let y = 0, that is
(x - 4)(x + 2) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts are x = - 2 and x = 4
The vertex lies on the axis of symmetry which is located at the midpoint of the x- intercepts, thus
= = 1
Substitute x = 1 into the equation for corresponding value of y
y = (1 - 4)(1 + 2) = - 3 × 3 = - 9
vertex = (1, - 9)