Answer:
three
Step-by-step explanation:
the equation in it is
three (3)
Answer:
The three given points are the vertices of a right triangle.
Step-by-step explanation:
To determine that the three points are the vertices of a right triangle let us find the distance between each two points
The formula of the distance is
∵
= 6 and
= -6
∵
= 9 and
= -6
∴
= ![\sqrt{(9-6)^{2}+(-6--6)^{2}}=\sqrt{9+0}](https://tex.z-dn.net/?f=%5Csqrt%7B%289-6%29%5E%7B2%7D%2B%28-6--6%29%5E%7B2%7D%7D%3D%5Csqrt%7B9%2B0%7D)
∴
= 3
∵
= 6 and
= -6
∵
= 9 and
= 1
∴
= ![\sqrt{(9-6)^{2}+(1--6)^{2}}=\sqrt{9+49}](https://tex.z-dn.net/?f=%5Csqrt%7B%289-6%29%5E%7B2%7D%2B%281--6%29%5E%7B2%7D%7D%3D%5Csqrt%7B9%2B49%7D)
∴
= ![\sqrt{58}](https://tex.z-dn.net/?f=%5Csqrt%7B58%7D)
∵
= 9 and
= 1
∵
= 9 and
= -6
∴
= ![\sqrt{(9-9)^{2}+(-6-1)^{2}}=\sqrt{0+49}](https://tex.z-dn.net/?f=%5Csqrt%7B%289-9%29%5E%7B2%7D%2B%28-6-1%29%5E%7B2%7D%7D%3D%5Csqrt%7B0%2B49%7D)
∴
= 7
<em>Let us use the fact that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side</em>
∵ The longest side is ![\sqrt{58}](https://tex.z-dn.net/?f=%5Csqrt%7B58%7D)
∵ The other two sides are 3 and 7
∵ (
)² = 58
∵ (3)² + (7)² = 9 + 49 = 58
∴ (
)² = (3)² + (7)²
- By using the fact above
∴ The triangle is a right triangle
The three given points are the vertices of a right triangle.
Answer:
I would say that the data represents a linear relationship.
Answer: 240 minutes
because each hour is 60 minutes and she needs to bake 4 pies that each take 1 hour each.