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>
A= 3B
A/B= (3s)²/s²= 9/1
Area= s² where s is the side.
the ratio of the area of A to B is 9/1
Answer:
The required sales in units to achieve its target net income is 1,237,500 units.
Step-by-step explanation:
From the given information it is clear that
Fixed cost = $480,000
Selling Price = $6 per unit
Variable Cost = $4.4 per unit
Target net income = $1,500,000
We need to find the required sales in units to achieve its target net income.
Therefore the required sales in units to achieve its target net income is 1,237,500 units.
Answer:
it is written as 33=k-15, or k-15=33
Step-by-step explanation:
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Answer:
Problem 1 = -1
Problem 2 = undefined
Step-by-step explanation:
Slope: 
Problem 1: (4, -5)(-2, 1)
Slope = 
Problem 2: (-4, 6)(-4, 8)
Slope: 
= Undefined
