The answer is D: Trapezoid ABCD was reflected across the y-axis and then rotated 90° counterclockwise around the origin
Answer:
B
Step-by-step explanation:
x is the value of x which you input into the function and f(x) is the actual function and therefore the output. so when x=3, f(x)= -2. f(3)=-2
Answer: 5 miles
Step-by-step explanation: If she goes 3 times a week for 8 weeks she goes for a total of 24 days. In those 24 days she wants to bike 120 miles. Divide 120 by 24. You get 5. Therefore she needs to bike 5 miles each day she goes to the gym to achieve her goal.
Answer:
x ≈ - 9.41, x ≈ - 6.59
Step-by-step explanation:
Given
x² + 16x + 62 = 0 ( subtract 62 from both sides )
x² + 16x = - 62
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(8)x + 64 = - 62 + 64
(x + 8)² = 2 ( take the square root of both sides )
x + 8 = ±
( subtract 8 from both sides )
x = - 8 ± ![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Hence
x = - 8 -
≈ - 9.41
x = - 8 +
≈ - 6.59
Prime factorization: 77=7*11