Answer:
The equation would be y = 1/23x - 251/23
Step-by-step explanation:
To start, you need to locate the slope of the first equation. Since the slope is the coefficient of x, we know it to be -23. Now, the perpendicular slope is the opposite and reciprocal of that, which makes the new slope 1/23.
Now that we have this, we can use the point and the slope in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 11 = 1/23(x - 2)
y - 11 = 1/23x - 2/23
y = 1/23x - 251/23
54=.9x Solve for x. x=54/.9=60
Step-by-step explanation:
Equation: 
First step:
Second step:
Third step:
Fourth step:
Answer:
A: -6.5
Step-by-step explanation:
Take two points that we already know are on the line and find the slope
I used:
(4, -10) and (7, -30)
X1 (first x coordinate): 4
Y1 (first y coordinate): -10
X2 (second x coordinate): 7
Y2 (second y coordinate): 30
These appear to be exactly on the graph at a certain point along the line. We can't choose a coordinate pair that isn't on the line at an exact point.
Use (Y2-Y1)/(X2-X1)
(-30-(-10))/(7-4) = (-30 + 10)/3 = -20/3 = approximately -6.67.
The closest answer to that is A.
Answer:
Width = 12 in
Length = 16 in
Step-by-step explanation:
Let, the Width of the rectangle = w in
Now, the length of the rectangle = (w + 4) in
Now, Perimeter = 56 in
Also, we know that
Perimeter of the Rectangle = 2 (Length +Width)
or, 2 (Length +Width) = 56
⇒ 2(w + 4 +w) = 56
or, 4w =56 -8
width = 12 in
So, Length = w + 4 = 12 + 4 = 16 in
