Answer:
1250
Step-by-step explanation:
125
<u>* 37</u>
875
<u>+ 375</u>
1250
Hello!
First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.

The slope of our line is 7/2, or 3.5
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Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).
11=3.5(-3)+b
11=10.5+b
b=0.5
Our final equation is shown below.
y=3.5x+0.5
I hope this helps!
Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Answer:
L=1 ft and B=84 ft
L=2 ft and B=42 ft
L=4ft and B=21ft
L=6ft and B=14 ft
L=7ft and B=12ft
L=12 ft and B=7ft
L=14ft and B=6 ft
L=21 ft and B=4 ft
L=42 ft and B=2 ft
L=84 ft and B=1 ft
Step-by-step explanation:
We are given that
Area of rectangular floor=84 square feet
We have to find the possible length and width of for Angelo's clubhouse.
Area of rectangle=
Using the formula
Area of rectangular floor for clubhouse=84 square feet

Factor of 84 are
1,2,4,6,7,12,14,21,42,84
Therefore, possible dimension of rectangular floor

L=1 ft and B=84 ft
L=2 ft and B=42 ft
L=4ft and B=21ft
L=6ft and B=14 ft
L=7ft and B=12ft
L=12 ft and B=7ft
L=14ft and B=6 ft
L=21 ft and B=4 ft
L=42 ft and B=2 ft
L=84 ft and B=1 ft