Answer:
[6.5,-7.25]
Step-by-step explanation:
Given the partitioning ratio as 3:1
#Find the length of the x-coordinate and multiply by the ratio:
x length=9--1=10
=>
#We subtract 2.5 from the x-max to get the point=9-2.5=6.5
#Find the length of the y-coordinate and multiply by the ratio:
x length=-9--2=-7
=>
#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25
Hence, the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]
The time taken for radio signal to the earth's surface we shall proceed as follows;
time=(distance)/(speed)
Distance=7.5×10^6 meters
speed=3×10^8 meters/second
therefore:
Time=(7.5×10^6)/(3×10^8)=0.025 seconds
We conclude that it will take the signal 0.025 seconds to reach the surface of the earth.
Answer:
Answer is B
Step-by-step explanation:
I took the test
The denominator of the fraction is four more than the numerator. The fraction:

If both numerator and denominator are increased by eight, the simplified result is 5/6:

The original fraction is 12/16.
X = 0, y = 4, z = -3
You can solve this by using the two equations with the z to create a fourth equation. Get the z's to equal each other my multiplying the whole equation by factors that would do so. Then subtract them from each other to get it to cancel out. Then you can use that equation along with the middle equation to solve for either x or y in the same way. Once you have one answer, you can use the middle equation to find the second one and any equation to find z.