(6,-3)(-4,-9)
slope = (-9 - (-3) / (-4 - 6) = (-9 + 3) / -10 = -6/-10 = 3/5
y - y1 = m(x - x1)
slope(m) = 3/5
(6,-3)..x1 = 6 and y1 = -3
now we sub
y - (-3) = 3/5(x - 6) =
y + 3 = 3/5(x - 6) <== one answer
y - y1 = m(x - x1)
slope(m) = 3/5
(-4,-9)....x1 = -4 and y1 = -9
now we sub
y - (-9) = 3/5(x - (-4) =
y + 9 = 3/5(x + 4) <== another answer
there are 2 answers....but the only one listed is answer D
The volume of a sphere is given by
![V=( \frac{4}{3} ) \pi r^{3}](https://tex.z-dn.net/?f=V%3D%28%20%5Cfrac%7B4%7D%7B3%7D%20%29%20%5Cpi%20%20r%5E%7B3%7D%20)
. Since the radius is 16cm we replace r with 16 to obtain:
![V=( \frac{4}{3} ) \pi (16)^{3}=( \frac{4}{3} )(4096) \pi = \frac{16384}{3} \pi](https://tex.z-dn.net/?f=V%3D%28%20%5Cfrac%7B4%7D%7B3%7D%20%29%20%5Cpi%20%2816%29%5E%7B3%7D%3D%28%20%5Cfrac%7B4%7D%7B3%7D%20%29%284096%29%20%5Cpi%20%3D%20%5Cfrac%7B16384%7D%7B3%7D%20%5Cpi%20%20)
centimeters cubed.
That's the exact answer. If you divide you get 5,461.3 (with the 3 repeating)
Using the student id given above, a = 19 and b = 7
Average speed for the first 54 km = 48+a km/h
Plug a = 19
Average speed for the first 54 km = 48+19 = 67 km/h
Average speed for remaining 86 km = 43-b km/h where b = 7
Average speed = 36 km/h
Average speed of entire journey = total distance / total time taken
![speed = \frac{distance}{time} and time = \frac{distance}{speed}](https://tex.z-dn.net/?f=speed%20%3D%20%5Cfrac%7Bdistance%7D%7Btime%7D%20%20and%20%20time%20%3D%20%5Cfrac%7Bdistance%7D%7Bspeed%7D)
Time taken to cover 54 km =
hr
Time take to cover 86 km =
hr
Total time taken = 3.2 hours.
Total distance = 86+54= 140 km
Average speed of the entire trip =
= 43.75 km/ h
We will calculate this by using ratios and because these two triangles are similar, which is very important.
Explanation:
We see that the FG = 9 corresponds to the VU = 21. Therefore, FH = 18 corresponds to the UW = x.
9 : 21 = 18 : x
x = (21*18)/9
x = 378/9
x = 42.
The correct answer is B. 42.
The answer is 12 because it’s a circle and that dot in the middle is the radius. so the radius is 6 which mean the diameter is 2x that making it 12