We can use the distance formula to find the distance from X to Y:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the given coordinates:
d = √((5 - (-9))^2 + (-4 - 2)^2)
d = √((14)^2 + (-6)^2)
d = √(196 + 36)
d = √232
d ≈ 15.23
So the distance from X to Y is approximately 15.23.
Given the points below, find the distance from X to Y. Round to the nearest hundredth.
X(-9,2) and Y(5, -4)
3 answers
<1 and <2 are supplementary angles. m<1 is 2y+12 and the m<2 is 8y+8. Find m<2.
If angles 1 and 2 are supplementary, their measures add up to 180 degrees.
So, we have the equation:
m<1 + m<2 = 180
Plugging in the given measures:
2y + 12 + 8y + 8 = 180
Combining like terms:
10y + 20 = 180
Subtracting 20 from both sides:
10y = 160
Dividing both sides by 10:
y = 16
Now that we have the value of y, we can find the measure of angle 2:
m<2 = 8y + 8
m<2 = 8(16) + 8
m<2 = 128 + 8
m<2 = 136
Therefore, the measure of angle 2 is 136 degrees.
So, we have the equation:
m<1 + m<2 = 180
Plugging in the given measures:
2y + 12 + 8y + 8 = 180
Combining like terms:
10y + 20 = 180
Subtracting 20 from both sides:
10y = 160
Dividing both sides by 10:
y = 16
Now that we have the value of y, we can find the measure of angle 2:
m<2 = 8y + 8
m<2 = 8(16) + 8
m<2 = 128 + 8
m<2 = 136
Therefore, the measure of angle 2 is 136 degrees.