Answer:
y=-10/7x+4
Step-by-step explanation:
10x+7y=28
-10x -10x
7y=-10x+28
7/7y=-10x/7+28/7
y=-10/7x+4
Step-by-step explanation:
1. volume of a cylinder = pi x radius squared x height (I wasn't sure which was the radius/diameter)
2. 615.74
3. 1km
4. rearrange formula for volume of the cylinder to get the radius on 1 side. divide both sides by height and pi to leave u with r². then divide by the square root.
formula= r=square root of 3080³/3.14 × 20
5. height = volume/ pi x radius squared
6. 2463.01
7. 28.01
8. 145.955 m
9. 21.01
10. 17
Answer:
Step-by-step explanation:
The graph shows the profile of your parabolic listening device,
Answer:
The one that gives us the fastest y-intercept is "b". The coordinates are (0,15).
Step-by-step explanation:
In order to check which form gives us the fastest y-intercept value, let's apply x = 0 in all three of them and check how many operations we need to do to get our desired results.
a) f(x) = -3*(x - 2)² + 27
f(0) = -3*(0 - 2)² + 27
f(0) = -3*(4) + 27
f(0) = -12 + 27
f(0) = 15
b) f(x) = -3*x² + 12*x + 15
f(0) = -3*(0)² + 12*(0) + 15
f(0) = 15
c) f(x) = -3*(x + 1)*(x - 5)
f(0) = -3*(0+1)*(0-5)
f(0) = -3*(-5)
f(0) = 15
The fastest one is "b". Since it is in the standard second degree equation form "a*x² + b*x + c", we could have checked immediately by the value of "c".
The y-interecept is (0,15).
Answer:
18 km/hr
90 km
Step-by-step explanation:
We know that there are
1000 m = 1 km
and
3600 s = 1 hr
We need to convert m/s to km/h
5 m 3600s 1 km 18000km 18 km
------ * ------------ * ------------ = --------------- = ------------
s 1 hr 1000m 1000 hr hr
It is 18 km/hr since the units cancel.
We want to know how far the cyclist travels
d=rt
We know the rate 18km/hr and the time = 5 hr
d = 18 km/hr * 5 hr
d =90 km
