Answer: (y - 3) = 7/6 (x - 4)
Step-by-step explanation:
The formula for point slope form is (y-y₁) = m(x-x₁)
Parallel lines will always have the same slope, so the slope of the new line is still 7/6.
The line goes through point (4, 3),
so x₁ = 4, and y₁ = 3 as points are written as (x, y).
From what I know, figure ABC has gotten smaller so you wouldn't use either options that suggests a dilation of 3, because that would mean it got bigger. (But please correct me if I'm wrong.) Also, if you look at the little unit square measurements on the graph, looking at figure ABC, C is 6 units from B, while in figure A'B'C', C' is 2 units from B', which 6÷2=3 meaning that A'B'C' would most likely be a third of its size.
Next the figure is being mirrored over the y-axis which is the vertical line going up and down.
So the answer would be the option that says
"Dilation by a scale factor of 1 over 3 followed by a reflection about the y-axis"
I hope that it's right, because I haven't practiced this in a while, and I hope this made some sense.
The two linear equations represented in system A as :
3 x + 2 y =3 -------(1)
- 2 x - 8 y = -1 ------(2)
(1) × 2 + (2) × 3 gives
⇒ 6 x + 4 y - 6 x - 24 y = 6 -3
⇒ - 20 y = 3
⇒ y = 
Putting the value of y in equation (1), we get

Two linear equation represented in system B is:
3. -x - 14 y =1
4. - 2 x - 8 y = -1
-2 ×Equation (3) + Equation (4)=
2 x +28 y- 2 x - 8 y= -2 -1
⇒ 20 y = -3
⇒y =
Putting the value of y in equation (3),we get

As Two system , that is system (A) and System (B) has same solution.
By looking at all the options , i found that Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
Answer:
or

Step-by-step explanation:
we know that
The scale of the drawing is equal to divide the length of a building in the scale drawing by the actual length of a building
so
That means
15 cm in the drawing represent 37.5 ft in the actual
Remember that

Convert 15 cm to ft
divide by 30.48

substitute

or

That means
1.31 units in the drawing represent 100 units in the actual
Answer:
the answer is 2
Step-by-step explanation:
52÷2=26
26÷2=13