In order for the triangle to be called an isosceles right triangle, it must satisfy both conditions: XZ and XY must be perpendicular to each other, and XZ = XY.
To determine whether two lines are perpendicular, their slopes must be negative reciprocals of each other.
Solving for the slopes of XZ and XY:
slope of XZ = (y₂-y₁) / (x₂-x₁) = (6-3)/(5-1) = 3/4
slope of XY = (y₂-y₁) / (x₂-x₁) = (3--1)/(1-4) = -4/3
-4/3 is the negative reciprocal of 3/4, therefore XZ and XY are perpendicular to each other.
Solving for distance:
XZ = √[(y₂-y₁)²+(x₂-x₁)²] = √[(6-3)²+(5-1)²] = 5
XY = √[(y₂-y₁)²+(x₂-x₁)²] = √[(3--1)²+(1-4)²] = 5
<span>The slope of XZ is 3/4, the slope of XY is -4/3, and XZ = XY = 5. </span>
Answer: 14
Explanation: x + x + 2 + x + 4 = 42. x = 12. 12 + 2 = 14. I don’t really know how to explain it on words
Hello from MrBillDoesMath!
Answer: y = -2
Discussion. Using y= mx +b with m = 0, gives
y = b
But what is "b"? The line passes through the point (4,-2) so y = -2. Hence
y = -2
Thank you,
MrB
Answer:
The temp increased by 360 degrees since 6x60 is 360
Step-by-step explanation:
60×1.5=90 1.5 hours equals 10:30
9:30 + one hour equals 10:30 and 90 miles away
In conclusion they will meet at 10:30