Answer:
y = 4(x + 11)² - 484
Step-by-step explanation:
y = 4x² + 88x
factor the expression
y = 4(x² + 22x)
complete the square
y + ? = 4(x² + 22x + ?)
y + ? = 4(x² + 22x + 121)
add 4 • 121 to the left side
y + 4 • 121 = 4(x² + 22x + 121)
multiply
y + 484 = 4(x² + 22x + 121)
y + 484 = 4(x + 11)²
subtract both sides by 484
y = 4(x + 11)² - 484
Answer:
60°
Step-by-step explanation:
Jenny drew a figure in art school and the figure is shown in the attached diagram.
The diagram is a regular hexagon and it has rotational symmetry.
Two of its sides is placed parallel to the x-axis.
Therefore, by rotating 60° the adjacent sides will become parallel to the x-axis and the figure remains the same and symmetric with respect to the coordinate axes. (Answer)
Answer:
x = 25
Step-by-step explanation:
Given:
- ∠A = ∠B (Vertically opposite angles)
- ∠A = (7x - 8)°
- ∠B = (6x + 17)°
Since ∠A is equivalent to ∠B...

Open the parenthesis:

Add 8 both sides:

Simplify both sides:

Subtract 6x both sides:

Simplify both sides:

The easiest way I know is to multiply the divisor by different numbers to see how many times it will go into the dividend. multiplying 486 by 2 or three and seeing which one gets closest.
In expanded form or decimal form 32/100 is equal to 0.32 or 32% or if simplified the fraction is 8/25