The ordered pair for Y is (-4,-2)
Step-by-step explanation:
Given
X(-2,3)
Z(-6,-7)
As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.
Let (x_Y, y_Y) be the coordinates of the mid-point
Then

Putting the values

Hence,
The ordered pair for Y is (-4,-2)
Keywords: Coordinate geometry, Mid-point
Learn more about coordinate geometry at:
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Answer:
Step-by-step explanation:
this is confusing b/c they are asking about two trains traveling at differnt speeds, but.. if you put the speeds together and make one train... imaginary.. ofc... traveling at the speed of both trains combined... when will it be 50 miles from the station?
maybe you can solve that? I'll solve it below.. but.. if you can.. try it now, on your own
below is my answer... don't look until you have solved yours :P
80+70= 150kph
when will this have traveled 50Km?
you may be able to see that it will take 1/3 of an hour to travel 50 km
so 60 minutes times 1/3 = 20 minutes :)
none of the above, -90 and 270 are the same position on the unit circle
Log (25¹/⁵) = (1/5) log(25) = (1/5) (1.3979) = 0.2796
Answer:
a) 4x + 76 = 180 (x = 26)
b)
- m<1 = 102
- m<2 = 78
Step-by-step explanation:
First we know 4x + 76 = 180. The reason for that is we know angle one plus angle two = 180 so 3x + 1x + 76 has to equal 180.
We can solve for x now.
4x + 76 = 180.
Subtract 76 to maintain equality on both sides.
4x = 104.
x = 26
Now we can get the angles.
For angle #1 let's substitute x as 26.
angle one = 26 + 76.
angle one = 102
For angle #2 let's substitute x as 26.
angle two = 3(26)
angle two = 78
Let's check!
78 + 102 = 180.
180 = 180 YES
Well, this took some time :)