Answer:
11x+y = -28
Step-by-step explanation:
We have two points so we can find the slope
m = (y2-y2)/(x2-x1)
= (-6-5)/ (-2--3)
= -11(-2+3)
= -11/1
The slope is -11
We can use point slope to make an equation
y-y1 = m (x-x1)
y-5 = -11(x--3)
y -5 = -11(x+3)
Distribute
y-5 = -11x-33
Add 5 to each side
y-5+5 = -11x-33+5
y = -11x-28
Add 11x to each side
11x+y = -11x+11x-28
11x+y = -28
This is the standard form of a line
Answer:
Step-by-step explanation:
This is right triangle trig. The side opposite the x is 8, and the side adjacent to the x is 5. The tangent ratio uses those sides. We need to find what angle has a tangent of 8/5. To do this, make sure your calculator is in degree mode. Then hit "2nd" then tan and you will see tan with a little -1 and a parenthesis. Enter 8/5 and hit "enter" and you will get an angle measure of 57.9946. Rounded to the nearest degree this is 58 degrees. That's your answer!
Answer:
1. -6
Step-by-step explanation:
f(x)=x²-9
g(x)= x-3
1. (f+g)(2) =
(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6
As 1 yard is equal to 3 feet , so 4 yard will be 12 feet !
so 13 foot > 4 yards
Perpendicular means the two lines' slopes are negative reciprocal to each other. the slope of the given line is 1/3, therefore the slope of the perpendicular line is -3/1, which is -3
use the point-slope form: the given point is (4,1), so (y-1)=-3(x-4)
you can stop right here or you can write it into slope intercept form:
y-1=-3x+12
y=-3x+13