Answer:
21
Step-by-step explanation:
1/3= 0.33
7/0.33
x²+3x = 9x - 8
Subtract 9x on both sides
x² - 6x = -8
Add 8 on both sides
x² - 6x + 8 = 0
Now you need to find the factors of 8(numbers that multiply to equal 8) that add or subtract to -6.
Factors of 8: 1, 2, 4, 8
2 and 4 add up to 6, if they are both negative they equal -6.
(x - 2)(x - 4) = 0
x - 2 = 0
x = 2
x - 4 = 0
x = 4
x = 2, x = 4
Answer:
- amplitude: 3
- period: π
- axis: y = 0
- range: [-3, +3]
Step-by-step explanation:
The amplitude is the multiplier of the sine function: 3.
The period is 2π divided by the coefficient of x: 2π/2 = π.
The equation of the axis is any added constant: y = 0.
The range is the axis value ± the amplitude value: from -3 to +3.
2160 inches into 12 pieces.
12 pieces = 2160 inches.
1 piece = 2160 / 12 = 180 inches.
But 12 inches = 1 foot, 3 feet = 1yard
3*12 = 36 inches = 1yard.
36 inches = 1yard.
180 inches = 180/36 = 5 yards.
Each piece was 5 yards long.
Answer:
Step-by-step explanation:
givens
x1 = 3
x2 = 4
y1 = 4
y2 = 7
formula
d = sqrt( (x1 - x2)^2 + (y1 - y2)^2 )
solution
d = sqrt( (3 - 4)^2 + (4 - 7)^2 )
d = sqrt ( 1 + 3^2)
d = sqrt( 1 + 9)
d = sqrt( 10)