Answer:
Length is 14 in
Width is 8 in
Step-by-step explanation:
<u>Given:</u>
- Length = l
- Width = w
- Perimeter = P = 44 in
<h3>Solution</h3>
<u>Equations as per given:</u>
- l - w = 6
- P= 2(l+w) = 44 ⇒ l +w = 22
<u>Adding up the two equations:</u>
- l - w + l +w = 6 + 22
- 2l = 28
- l = 28/2
- l = 14 in
<u>Then finding the value of w:</u>
- w = l -6
- w = 14 - 6
- w = 8 in
<u>Answer:</u> The length of the rectangle is 14 inches and width is 8 inches
Answer:
7.2
Step-by-step explanation:
Do 6^2 = 36
Do 4^2 = 16
Add them which equal 52
Square root of 52 is 7.2 to 1 decimal Place this is a possible length
The answer: " x = 68, y = 72 " .
____________________________
Explanation:
________________________________________
46 + (x - 3) + (y - 3) = 180 .
46 + 1(x - 3) + 1(y-3) = 180 .
46 + 1x - 3 + 1y - 3 = 180 .
46 - 3 - 3 + 1x + 1y = 180 .
40 + x + y = 180 ;
Subtract "40" from EACH SIDE of the equation:
______________________________________
40 + x + y - 40 = 180 - 40 ;
to get:
x + y = 140 ;
_____________________________________
Now:
_____________________________________
65 = (x - 3) ;
↔ x - 3 = 65 ;
Add "3" to EACH SIDE of the equation;
x - 3 + 3 = 65 + 3 ;
to get:
x = 68 .
______________________________
Now:
Since: "x + y = 140" ;
Let us plug in our known value, "68" ; for "x" ;
to solve for "y" ;
__________________________________
x + y = 140 ;
68 + y = 140 ;
↔ y + 68 = 140 ;
Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
______________________________________________
y + 68 - 68 = 140 = 68 ;
y = 72 .
______________________________________________
So, solve for "x" and "y".
x = 68, y = 72 .
_______________________________________________
Step-by-step explanation:
Regression Equation has the firm of,
Y = aX + b
please refer to my attachment for a and b.
So prepare table with columns of Y, X sq(x),......
then work out a and b according.
Finally sub a and b into the equation Y = aX + b
For this case we have the following system of equations:

Equating the values of y we have:

From here, we can clear the value of x.
We have then:

Then, we look for the value of y.
For this, we substitute x in any of the equations:
Answer:
The ordered pair solution of the system of equations, is given by: