Factor this expression completely. 18x^2 - 32
1 answer:
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Answer:
The answer to your question is a) y = x - 1 b) the point is not on the line
Step-by-step explanation:
Data
A ( -1, -2)
B (4, 3)
C ( 3, 1)
Process
1.- Find the slope of the line (m)
Formula
m =
Substitution
m =
2.- Find the equation of the line
Formula
y - y1 = m(x - x1)
Substitution
y + 2 = 1(x + 1)
Solve for y
y = x + 1 - 2
y = x - 1
- Prove that the point (3, 1) is on the line
1 = 3 - 1
1 = 2
The point is not on the line because 1 ≠ 2
We can see if the first two options are correct. The first one is eliminated because when x is 2, y is 5 and there is not a different of 5, only 3. This could make you think that the second option is the right answer, but when x is 1, y is 6 and the difference is 5, not 3.
The third choice we could try out.
6=-(1)+7
5=-(2)+7
4=-(3)+7
3=-(4)+7
Let's look at the graph also. The coordinates are on the line.
So the third option, y=-x+7
The third choice we could try out.
6=-(1)+7
5=-(2)+7
4=-(3)+7
3=-(4)+7
Let's look at the graph also. The coordinates are on the line.
So the third option, y=-x+7
Answer:
Step-by-step explanation:
To find:
The value of = ?
Solution:
Kindly consider the equilateral as attached in the answer area.
Let the side of triangle = units
Let us draw the perpendicular from vertex A to side BC.
It will divide the side BC in two equal parts.
i.e. BD = DC =
Using Pythagorean Theorem in :
Side AD =
Using Trigonometric ratio:
Putting the values of AD and BD:
