Y=3(x+1)(x-5)
I'm going to ignore 3 for now, but will add it later.
FOIL the (x+1)(x-5)
F = multiply the First numbers x and x
O = multiply the Outside numbers x and -5
I = multiply the Inside number 1 and x
L = multiply the Last numbers 1 and -5
3(x^2 + -5x + 1x + -5)
add -5x and x
3(x^2 + -4x + -5)
multiply the numbers inside the parenthesis by 3
3x^2 + -12x + -15
Answer:
x = 96
y = 66
Step-by-step explanation:
The sum of interior angles of the given shape is 360:
x + y + 123 + 75 = 360
x + y + 198 = 360 subtract 198 from both sides
x + y = 162
The angle with the measure 114 and angle y are supplementary so their sum is 180
y + 114 = 180
y = 66 since x + y = 162 we can use this to find the value of x
x = 162 - 66
x = 96
F-1(x)=x/4 represents the inverse function because to find the inverse you have to interchange the variables & solve for y
Answer:
16 in
Step-by-step explanation:
The 3 part of the ratio represents 24 inches.
Dividing by 3 gives the value of one part of the ratio.
24 in ÷ 3 = 8 in ← value of 1 part of the ratio, thus
2 parts = 2 × 8 in = 16 in ← hypotenuse of smaller triangle