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
I don’t know what exactly you are trying to ask? But this equation would be an example of exponential growth.
Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students
Answer:
512 cm^3
Step-by-step explanation:
Divide 384 by 6 to find the surface area of one face of the cube. 384/6 = 64.
Find the square root of 64 to find both the length and width of the square. They are equal in a square. 
= 8 = x
Volume = xyz or x^3
8^3 = 512
