Answer:
y - 12 = 5(x - 3) {<u>the point-slope form of the equation}</u>
y = 5x + 9 {the slope-intercept form of the equation}
5x - y = -9 {standard form of the equation}
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
y = 5x - 7 ⇒ m = 5
(3, 12) ⇒ x₀ = 3, y₀ = 12
So, <u>the point-slope form of the equation</u>:
y - 12 = 5(x - 3)
Therefore:
y - 12 = 5x - 3 {add 12 to both sides}
y = 5x + 9 ← <u>the slope-intercept form of the equation</u>
y = 5x + 9 {subtract5x from both sides}
y - 5x = 9 {multiply both sides by (-1)}
5x - y = -9 ← <u> the standard form of the equation</u>
To solve this equation you: divide both sides of the equation into -5:
Then, the solution for the given equation is b=3
Central angle of a regular polygon:
Ф = 360° : n.
If n=12: Ф = 360° : 12 = 30°
At the angle of rotation Ф = 30° the image of the polygon will coincide with the preimage.
Answer:
or in decimal form
Step-by-step explanation:
The midpoint of the line with endpoints and is . just take the average between the points
so given the points (1,0) and (2,-10)
the midpoint is found as follows:
or in decimal form
Answer:
Step-by-step explanation:
To solve this, we have to plug in 1/3 for x: