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>
Follow the order of operations!!
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
that is in order. follow these and you should figure it out yourself :)
Answer:
the 30th number would be "82"
Step-by-step explanation:
it is adding by 3
First, let's figure out how many miles the plane can fly in 1/4 hour. Since this is half of 1/2 hour, it can fly half of 105 miles, which is 52.5 miles. Next, we need to know how many miles it can fly in one hour. Since it flies 105 miles in 1/2 hour, it flies twice that (210) miles in one hour. So then in 1 and 1/4 hours, it flies 210+52.5 miles.