Answer:
The equation that represents the new path is y=(1/2)x-2
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-2x-7
so
the slope m is equal to
m=-2
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-2 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/2
step 3
With m=1/2 and the point (-2,-3) find the equation of the line
y-y1=m(x-x1)
substitute
y+3=(1/2)(x+2)
y=(1/2)x+1-3
y=(1/2)x-2 -----> equation that represent the new path
Answer:
A.
to discuss Shays's Rebellion in Massachusetts
Total flour used = Sum of all the cups
Total = 2 cups + 0.5 cups + 1.75 cups
= 4.25 cups of flour
4.25 cups of flour was used.
Hope this explains it.
Answer:
Length = 9 inches
Step-by-step explanation:
The perimeter of a rectangle is:
perimeter = 2(length + width)
24 = 2(a+b)
a = b + 6
a = length
b = width
then:
24 = 2((b+6)+b)
24/2 = b+6+b
12 = 2b + 6
12-6 = 2b
6 = 2b
b = 6/2
b = 3 inches
a = b+6
a = 3+6
a = 9 inches
Check:
24 = 2(9+3)
24 = 2*12
Answer:
Y intercept= 1
Step-by-step explanation:
First you need to put this in slope intercept form (y=mx+b) so heres the steps:
y+2x-1=0 (given)
y-1=-2x (subtract 2x from both sides)
y=-2x+1 (add 1 to both sides)
y=-2x+1 is the y=mx+b form
The y intercept is b so your answer is 1
