Answer:
Step-by-step explanation:
x + y = 4 ---------------(i)
x = 4-y
7x + 9y = 42 -----------(ii)
Plug in x = 4-y in equ (ii)
7*(4 - y) + 9y = 42
28 - 7y +9y = 42
28 + 2y = 42
2y = 42 - 28
2y = 14
y = 14/2
y = 7
x = 4 - y
x = 4 - 7
x = -3
Step-by-step explanation:
Hey there!
<u>Note</u><u>:</u><u> </u><u>Use</u><u> </u><u>double</u><u> point</u><u> formula</u><u> for</u><u> finding</u><u> </u><u>the</u><u> eqaution</u><u> which</u><u> </u><u>pass</u><u>es</u><u> through</u><u> </u><u>two</u><u> </u><u>points</u><u>.</u>
Given;
The points are; (1,-3) and (3,1).
<u>Use</u><u> </u><u>dou</u><u>ble</u><u> point</u><u> formula</u><u>.</u>
<u>
</u>
<u>Put</u><u> </u><u>all</u><u> </u><u>values</u><u>.</u>
<u>
</u>
<u>Simpl</u><u>ify</u><u> it</u><u>.</u>
<u>
</u>
<u>
</u>
<u>
</u>
<u>
</u>
<u>
</u>
Therefore, the eqaution is y = 2x-5.
Alternative:
<u>Steps</u><u>:</u>
- Find slope using slope formula and use one point formula.
- Simplify in the form of y = mx+c form.
Formula:
- Slope = (y2-y1)/(x2-x1)
- One point formula= (y-y1)= m(x-x1)
The points are; (1,-3) and (3,1).
Now;
Slope= (1- (-3))/(3-1)
= (1+3)/2
= 2
Again;
Using one-point formula.
(y+3) = 2(x-1)
y+3= 2x-2
y = 2x -5
Therefore, the equation is y = 2x-5.
(You can follow up any method you want)
<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
The length of the rectangle is
.
Step-by-step explanation:
<u>The complete question is:</u> The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?
Let the length of the rectangle be represented as 'L' and the width of the rectangle be represented as 'W'.
As we know that the area of the rectangle is given by;
Area of rectangle = Length of rectangle
Width of rectangle
Or
A = L
W
Here, we know the value of A = 7/9 square feet and W = 2 1/3 feet.
SO,

Hence, the length of the rectangle is
.
If the number is n then
square of 2 times a number
square of 2n
(2n)²
that was your mistake, because (2n)²=4n², not 2n²
the result is 81
(2n)²=81
square root both sides
remember positive and negative roots
2n=+/-9
divide by 2
n=+/-4.5
n=4.5 or -4.5