<h3>
Answer: B) y = (1/28)x^2</h3>
Explanation:
p = focal distance = 7
the focal distance is from the vertex to the focus
The parabola opens upward (since the vertex is below the focus) so 'a' is positive and a = 1/(4p) = 1/(4*7) = 1/28
The vertex is (h,k) = (0,0)
Put this all together into the formula below and simplify
y = a(x-h)^2 + k
y = (1/28)(x - 0)^2 + 0
y = (1/28)x^2
Answer: Smaller number = 6
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
Let the larger number be y.
Three times a larger number is 30 more than 5 times a smaller number. This will be:
3 × y = (5 × x) + 30
3y = 5x + 30 ...... i
The sum of the larger number and 5 times the smaller number is 50. This will be:
y + 5x = 50 ...... ii
From equation ii
y + 5x = 50.
y = 50 - 5x ...... iii
Put the value of y = 50 - 5x into equation i
3y = 5x + 30
3(50 - 5x) = 5x + 30
150 - 15x = 5x + 30
150 - 30 = 5x + 15x
120 = 20x
x = 120/20
x = 6
The smaller number is 6
Note that y + 5x = 50
y + 5(6) = 50
y + 30 = 50
y = 50 - 30
y = 20
The bigger number is 20
Answer:
The equation, y=3x-5 is in y=mx+b format. The b, or -5 in this case, tells you what the y intercept is, or in this case, your starting point. This means your first point will be at (0,-5). The mx, or 3x in this case, tell us how much to move up and how much to move sideways. 3x is equal to 3/1x and the 3/1 tells us the rise/run. Rise being how much to go up or down and run being how much to go to the left or right. So in 3x, the rise is 3 and the run is 1. So you will go 3 up on the y axis and 1 to the right on the x-axis. So your next point will be (1, -2) and the point after that will be (2, 1) and so on!
hope this helped!
We know that
circumference=2*pi*r
for r=3 in
circumference=2*pi*3------> 18.84 in
if 2*pi radians (full circle) has a length of--------> 18.84 in
7*pi/3 radians-----------------> x
x=7*pi/3*18.84/(2*pi)-------> x=21.98 in
the answer is
21.98 in
Answer:
Step-by-step explanation:
Formula
r = amount / time
Givens
amount = 3/10
time = 2/5
Solution
r = 3/10 // 2/5
Invert the denominator (2/5) and multiply rather than divide.
r = 3/10 * 5/2 Cancel 5 into the 10
r = 3/2 * 1/2
answer: r = 3/4 chord / hour
