<h3>
Answer:</h3>
y = 8/9x + 80/9
<h3>
Step-by-step explanation:</h3>
<u>We are given;</u>
- Equation of a line as 8x -9y -2 = 0
- Coordinates (-1,8)
We are required to determine the equation of a line parallel to the given line and passing through a point (-1,8)
<h3>Step 1: Determine the Gradient of the given line </h3>
- When an equation is written in the form y = mx + c, m is the gradient.
- Therefore; we could write the equation 8x -9y -2 = 0 in the form of y= mx + c
9y = 8x -2
y = 8/9x - 2/9
Therefore, the slope, m = 8/9
<h3>Step 2: Determine the equation of the line</h3>
- We need to know that parallel lines have the same gradient
- Therefore, the slope of the line in question is 8/9
- It passes through a point (-1, 8)
We can therefore, determine the equation;
Taking another point, (x,y)

9(y-8) = 8(x+1)
9y - 72 = 8x + 8
9y = 8x + 8 +72
9y = 8x + 80
y = 8/9x + 80/9
Therefore, the equation of the line is y = 8/9x + 80/9
Some are
y-2=-3x
y+3x=2
3x=2-y
Given that in a trianlgle the sides AB, BC, CA are in the ratio 3:4:6.
Let AB = 3k, BC = 4k and CA = 6k.
Then perimeter =3k+4k+6k = 13k
M, N, K are mid points of the sides.
By mid point theorem MN = 3k/2, NK = 4k/2 and KM = 6k/2
Hence perimeter of MNK = 13k/2 =5.2 (given)
Solve for k
k=2(5.2)/13 = 0.8
Hence sides are
AB = 3k = 3(0.8) = 2.4 in
BC = 4k= 3.2 in
CA = 4.8 in
Answer:
81
Step-by-step explanation:
9 × 3n= 3^7
9×3n= 2187
27n= 2187
n= 2187/27
= 81
Hence n= 81
Answer:
1st box in justification is going to be subtraction property.
2nd box is multiplication property.
1 box in steps is going to be (2/3y)=-6
2nd box in steps (2/3y)*(3/2)=-6(3/2)
3rd box in steps y=-9
Step-by-step explanation:
you're basically trying to solve for y. trying to get it by it self.
if you want me to explain it further down, you can tell me.
and I hope that helped