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>
2x + 5 = 0.5x - 1
(Multiplying by 2 cause I hate fractions/decimals)
4x + 10 = x - 2
3x + 10 = -2
3x = -12
x = -4
Y = 2x + 5
Y = 2(-4) + 5
Y = -8 + 5
Y = -3
Y = 0.5x - 1
Y = 0.5(-4) - 1
Y = -2 - 1
Y = -3
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Answer:
the answer is option a
Step-by-step explanation:
By Pythagoras theorem,
![{1}^{2} + {2}^{2} = {3}^{2} \\ 1 + 4 = 9 \\ 5 =9](https://tex.z-dn.net/?f=%20%7B1%7D%5E%7B2%7D%20%2B%20%20%7B2%7D%5E%7B2%7D%20%20%20%3D%20%20%7B3%7D%5E%7B2%7D%20%20%5C%5C%201%20%2B%204%20%3D%209%20%5C%5C%205%20%3D9)
and it doesn't match
Answer:
=452.16 ft^3
It will take 452.16 min.
Step-by-step explanation:
79 is the length because
292-2(67)= 158
158/2 = 79