Answer:
a force is described by its strength and by the direction in which it acts. -The strength of a force is measured in the SI unit called the Newton (N).
Step-by-step explanation:
9.045 is the number added to 0.034 to obtain 9.079
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point
- a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept

- k is the value of y when x = h
∵ y = x² + 16x - 7
∵ y = ax² + bx + c
∴ a = 1 , b = 16 , c = -7
∵ 
∴ 
∴ h = -8
To find k substitute y by k and x by -8 in the equation above
∵ k is the value of y when x = h
∵ h = -8
∴ k = (-8)² + 16(-8) - 7 = -71
∵ The vertex form of the quadratic equation is y = a(x - h)² + k
∵ a = 1 , h = -8 , k = -71
∴ y = (1)(x - (-8))² + (-71)
∴ y = (x + 8)² - 71
∵ (h , k) are the coordinates of the vertex point
∵ h = -8 and k = -71
∴ The vertex is (-8 , -71)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
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Answer:
440 Rock CDs
Step-by-step explanation:
Let number of rock CDs be "r", and
number of Jazz CDs be "j"
4 times as many Rock as Jazz, so we can write:
r = 4j
Total of 550 CDs, thus we can write equation 2:
r + j = 550
Now we replace 2nd equation with 1st equation and find j first:
r + j = 550
4j + j = 550
5j = 550
j = 550/5
j = 110
Now, finding r:
r = 4j
r = 4(110)
r = 440
There are 110 Jazz CDs and 440 Rock CDs