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We are given
equation of line as
![y=3x+1](https://tex.z-dn.net/?f=%20y%3D3x%2B1%20)
we will check each options
option-A:
we can plug (3,1)
x=3 and y=1
![1=3*3+1](https://tex.z-dn.net/?f=%201%3D3%2A3%2B1%20)
![1=10](https://tex.z-dn.net/?f=%201%3D10%20)
we can see that
they are not equal
so, this is FALSE
option-B:
we can plug (-1,-2)
x=-1 and y=-2
![-2=3*-1+1](https://tex.z-dn.net/?f=%20-2%3D3%2A-1%2B1%20)
![-2=-2](https://tex.z-dn.net/?f=%20-2%3D-2%20)
we can see that
they are equal
so, this is TRUE
option-C:
we can plug (-3,4)
x=-3 and y=4
![4=3*-3+1](https://tex.z-dn.net/?f=%204%3D3%2A-3%2B1%20)
![4=-8](https://tex.z-dn.net/?f=%204%3D-8%20)
we can see that
they are not equal
so, this is FALSE
option-D:
we can plug (2,6)
x=2 and y=6
![6=3*2+1](https://tex.z-dn.net/?f=%206%3D3%2A2%2B1%20)
![6=7](https://tex.z-dn.net/?f=%206%3D7%20)
we can see that
they are not equal
so, this is FALSE
Answer:
Right angle triangle
Step-by-step explanation:
- Given triangle is right angle triangle
- It is a type of triangle that has one of it's angles equal to 90 degrees.
- The other two angle sum up to 90 degrees.
- Here AC side is perpendicular and the AB side is base of the triangle.
- And the third side that is called CB which longest side of all three sides that is called hypotenuse.
Circumference + perimeter =38
x = circumference of circle
find r in terms of x
2
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r=x
r=
![\frac{x}{2 \pi }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%20%5Cpi%20%7D%20)
Area=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r^2
so..
A=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
(
![\frac{x}{2 \pi }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%20%5Cpi%20%7D%20)
)^2
=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
(
![\frac{x^{2} }{4 \pi ^{2} }](https://tex.z-dn.net/?f=%20%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B4%20%5Cpi%20%5E%7B2%7D%20%7D%20%20)
)
=
![\frac{x^{2} }{4 \pi }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B4%20%5Cpi%20%7D%20)
(38-x) is perimeter
then
![\frac{38-x}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B38-x%7D%7B4%7D%20)
(
![\frac{38-x}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B38-x%7D%7B4%7D%20)
)^2
![\frac{x^{2} }{4 \pi }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B4%20%5Cpi%20%7D%20)
+ (
![\frac{38-x}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B38-x%7D%7B4%7D%20)
)^2
then you graph it and it equals
16.716 cm the circumference of the circle