So first of all, know that perpendicular lines have slopes that are a negative reciprocal from each other. So your original equation is in slope-intercept format: y = mx + b, where m = slope
So your slope is -1/9. Now the negative of that would be --1/9 = +1/9. Now the reciprocal of 1/9 is 9/1 = 9 (you just flip the fractions ;).
Now that we have our new slope, let's make an equation of a line with that new slope and the point (1, 7). For that let's switch to the point-slope format: y-k = m(x-h), where h = the x-value and k = the y-value.
Our h = 1 and k = 7
y-7 = 9(x-1)
Answer:
A=20,000 m2 per year
Step-by-step explanation:
we have that Volume (V) =300,000 m3, so V=A*h, where A=area (m2) and h=15m
V=A*h ⇒ 300,000m3=A*15m ⇒ A=300,000m3/15m ⇒ A=20,000 m2
Answer:
4x(x-4)(x+1)
Step-by-step explanation:
Please see the picture.
Answer:
x = 23
Step-by-step explanation:
Remember, angles in a triangle add up to equal 180
That being said we can create an equation to solve for x
180 = 110 + 35 + x + 12
now we solve for x
step 1: combine like terms
110 + 35 + 12 = 157
now we have 180 = 157 + x
step 2 subtract 157 from each side
180 - 157 = 23
157 - 157 cancels out
we're left with x = 23
