Subtract 3x from both sides:
-6y = -3x + 6
divide both sides by -6 to get y by itself:
y = 1/2x - 1
function notation is rewriting y as a function:
f(x) = 1/2x -1
The first thing we must do for this case is to find the equation of the line.
![y-yo = m (x-xo) ](https://tex.z-dn.net/?f=y-yo%20%3D%20m%20%28x-xo%29%0A)
We have then:
![m = (y2 - y1) / (x2-x1) m = (-3 - 0) / (2-8) m = 1/2](https://tex.z-dn.net/?f=m%20%3D%20%28y2%20-%20y1%29%20%2F%20%28x2-x1%29%0A%0Am%20%3D%20%28-3%20-%200%29%20%2F%20%282-8%29%0A%0Am%20%3D%201%2F2)
We choose an ordered pair:
![(xo, yo) = (8, 0) ](https://tex.z-dn.net/?f=%28xo%2C%20yo%29%20%3D%20%288%2C%200%29%0A)
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
![-5 = (1/2) (- 2) - 4 -5 = -1 - 4 -5 = - 5](https://tex.z-dn.net/?f=-5%20%3D%20%281%2F2%29%20%28-%202%29%20-%204%0A%0A-5%20%3D%20-1%20-%204%0A%0A-5%20%3D%20-%205)
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
Answer:
Approximately mMK is 53 degrees
Step-by-step explanation:
Here, we want to find the length of MK
As we can see, we have a right triangle at LNK
so
let us find the angle at L first
9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L
so the trigonometric identity that connects adjacent to the hypotenuse is the cosine
It is the ratio of the adjacent to the hypotenuse
So;
cos L = 9/15
L = arc cos (9/15)
L = 53.13 degree
Approximately, L = 53 degrees
so now, we want to get the arc length MK
We are to use the angle-arc relationship here
Using this; arc length MK is equal to the measure of L at the center which is 53 degrees
Answer:
P= 20.2 and A= 15.675
Step-by-step explanation:
The formula for the area of a triangle is 1/2 base*height. Therefore, the equation for the area of the triangle is 1/2*5.7*5.5. 1/2*5.7=2.85. 2.85*5.5=15.675(area). To find perimeter you're simply adding the numbers. When you add up the numbers of the triangle, you get 20.2.
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