Answer:
Y = (1/3)X + 4
Step-by-step explanation:
You need to know the equation Y = mX + b, for two sets of coordinates
Therefore we need to find the slope and the interception of the given points.
1) The slope of the line
We can use the point slope form, and clear for the slope m
y - y1 = m (x-x1)
m = (y -y1) / (x -x1)
The data given is: A (3, 5) and B (0, 4)
Then substitute in the slope: m = (5 -4)) / (3 -0) = (1/3)
m = 1/3
2) Find the interception
From the general equation slope intercept Y = mX + b, clear b
b = Y - mX
Now substitute any given point to obtain b the interception
b = Y - mX
Lets choose point A (3, 5), remember m = 1/3
b =5 - (1/3)(3)= 4
b = 4
3) Therefore with the values of m and b, the general equation for the slope intercept form is:
Y = mX + b -->
Y = (1/3)X + 4
Answer:A is the answer
Step-by-step explanation:
S+m+l=28
4s+2m+l=58
6s+5m+4l=135
Eliminate the variable l from the first 2 equations
s+m+l=28
-4s-2m-l=-58
-3s-m=-30
Elminiate the variable l from the last 2 equations
6s+5m+4l=135
-16s-8m-4l=-232
-10s-3m=-97
Now solve for s and m using the 2 equations without l
-3s-m=-30
-10s-3m=-97
9s+3m=90
-10s-3m=-97
-s=-7
s=7
Then plug in s into one of the equations without l
-3(7)-m=-30
-21-m=-30
-m=-9
m=9
Now plus in s and m into one of the original 3 equations
(7)+(9)+l=28
16+l=28
l=12
Final answer:
Small=$7
Medium=$9
Large=$12
I know it only asks for large but I wanted to show you how to find them all for future reference. :)
Answer:
Thus, 3/2 in, or 1.5 in, represents 1 mile.
Step-by-step explanation:
"3 quarter inches to the half mile" can be expressed as "3/4 inch to 1/2 mile."
Write and solve an equation of ratios to obtain the unit rate in inches/mi:
3/4 in x
---------- = ---------
1/2 mi 1 mi
Cross multiplying, we get 3/4 in-mi = (1/2) mi*x.
Solve this for x by mult. both sides by 2:
6/4 in-mi = x mi
and then dividing both sides by mi:
(6/4) in-mi
--------------- = 3/2 in
mi
Thus, 3/2 in, or 1.5 in, represents 1 mile.
he base of each triangle bis
2m
The area of the rectangle is
4m**2
The area of each triangle is
4m**2
The area of the trapezoid is
12m**2
