Answer: x=26
Step-by-step explanation:
1. Write the equation 2x-5+4x-1+30=180 because all triangle angles add up to 180°
2. Simplify the equation by combining like terms. Write the equation as 6x+24=180
3. Subtract 24 from both sides. Write the equation as 6x=156.
4. Divide 156/6 and get 26. That is your answer (x=26).
Answer:
y = x - 7
Step-by-step explanation:
The length of the legs, PQ and PR are 4 units.
The lengths of the legs, P'Q' and P'R' are 1 unit.
Since the legs (and triangle) got smaller we know that the scale factor is between 0 and 1.
So.. 4 * x = 1
divide both sides by 4
x = 1/4
The scale factor is 1/4
<h3>Given</h3>
<h3>Find</h3>
- write the linear function f(x)
<h3>Solution</h3>
A linear function is the equation of a line. Here, you are given two points on the line, one of which is the y-intercept, and asked to write the equation. It can work reasonably well to use the 2-point form of the equation of a line.
For points (x1, y1) and (x2, y2), the equation of the line through them can be written as
... y = (y2 -y1)/(x2 -x1)·(x -x1) + y1
When it is possible to use x1 = 0, this is simplified somewhat, so we choose
... (x1, y1) = (0, -5) . . . . . . from f(0) = -5
... (x2, y2) = (5, -1) . . . . . .from f(5) = -1
Putting these values in the above formula, we get ...
... y = (-1 -(-5))/(5 - 0)·(x -0) -5
... y = 4/5x -5 . . . . . simplified
This can be put in the desired functional form using f(x) instead of y:
... f(x) = 4/5x -5