The perimeter of a triangle is side a + side b + side c. so...
(2x + 4) + (2x + 4) + (2x + 4) = 6x + 12.
But if you need to go farther...
6x = -12
x = -2
then replace x in the original equation with -2......
2(-2) + 2(-2) + 2(-2)
multiply
(-4) + (-4) + (-4)
add
the answer should be -12
Answer:
- One solution: (0.4, -4.8)
Step-by-step explanation:
<u>Given equations</u>
This system has one solution since the two lines represented by the equations have different slopes.
<u>Solution:</u>
- -2x - 4 = 1/2x - 5
- -2x - 1/2x = -5 + 4
- -2.5x = -1
- 2.5x = 1
- x = 1/2.5
- x = 0.4
<u>And y is:</u>
<u>The point is:</u>
Answer:
(c) None of the above
Step-by-step explanation:
The distance between the two points is the absolute value of their difference:
|-4/3 -1/3| = |-5/3| = 5/3
This expression does not match either of the numerical choices offered. So the correct choice is ...
None of the above
Answer:
![y=\frac{9}{2}x+[tex]\frac{53}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B9%7D%7B2%7Dx%2B%5Btex%5D%5Cfrac%7B53%7D%7B2%7D)
![9x-2y=-53](https://tex.z-dn.net/?f=9x-2y%3D-53)
Step-by-step explanation:
The line is passing through
and
.
The equation of line in point-slope form can be obtained by using the following rule that says:
![(y-y_1)=m(x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%3Dm%28x-x_1%29)
Lets say:
are
and
respectively.
Lets find the slope of the line:
![m=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-5)}{-5-(-7)} =\frac{4+5}{-5+7}=\frac{9}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B4-%28-5%29%7D%7B-5-%28-7%29%7D%20%3D%5Cfrac%7B4%2B5%7D%7B-5%2B7%7D%3D%5Cfrac%7B9%7D%7B2%7D)
So the slope of the line is
.
![(y-(-5))=\frac{9}{2}(x-(-7))](https://tex.z-dn.net/?f=%28y-%28-5%29%29%3D%5Cfrac%7B9%7D%7B2%7D%28x-%28-7%29%29)
![y+5=\frac{9}{2}(x+7)](https://tex.z-dn.net/?f=y%2B5%3D%5Cfrac%7B9%7D%7B2%7D%28x%2B7%29)
-5=\frac{9}{2}x+![\frac{53}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B53%7D%7B2%7D)
![y=\frac{9}{2}x+[tex]\frac{53}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B9%7D%7B2%7Dx%2B%5Btex%5D%5Cfrac%7B53%7D%7B2%7D)
So the required equation is
.
And the equation of line in standard form can be written as:
![\frac{-9}{2}x+y=[tex]\frac{53}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%7D%7B2%7Dx%2By%3D%5Btex%5D%5Cfrac%7B53%7D%7B2%7D)
Multiplying the equation by 2 we get:
![-9x+2y=53](https://tex.z-dn.net/?f=-9x%2B2y%3D53)
![9x-2y=-53](https://tex.z-dn.net/?f=9x-2y%3D-53)
The 41 is not the direct height going up it is just the side