Step 1: make sure the denominators are the same. step 2: add the numerators, put the answer over the denominator of course to make a fraction. step 3: simplify if needed. If you need me to explain more text me.
If the side length of the original tile is x, then the area is length * width, or x*x which is x^2. That's the first box up there. The new length is x - 4, since the length is what he cut away from. That's the second box up there. The width is still x, so the third box is x, and the area removed is 4x, the last box. So here's your info: box 1: x^2; box 2: x - 4; box 3: x; box 4: 4x
<h3>5x - y = 27 and 2x + y = 8 are the system of equations with a solution of (5,-2)
</h3>
<em><u>Solution:</u></em>
Given that,
create a system of equations with a solution of (5,-2)
<em><u>The equation for a line in slope intercept form:</u></em>
y = mx + b
Where, m is the slope and b is the y intercept
For (x, y) = (5, -2)
-2 = 5m + b
<em><u>When m = 5</u></em>
-2 = 5(5) + b
-2 = 25 + b
b = -2 - 25
b = -27
<em><u>When m = -2</u></em>
-2 = 5(-2) + b
-2 = -10 + b
b = 8
<em><u>Thus equations are:</u></em>
y = 5x - 27
y = -2x + 8
<em><u>Rearranging to standard form,</u></em>
5x - y = 27 --- eqn 1
2x + y = 8 ---- eqn 2
Thus the system of equations are found
<h3><u>Verify:</u></h3>
Solve eqn 1 and eqn 2
Add both eqn 1 and eqn 2
7x = 35
<h3>x = 5</h3>
Substitute x = 5 in eqn 2
2(5) + y = 8
y = 8 - 10
<h3>y = -2</h3>
Thus solution is (5, -2) and the found system of equations are correct
Answer:
56 cm Squared
Step-by-step explanation:
area of rectangle =10×5=50
area of smaller rectangle =3×2=6
area of the shape is 56
Answer:
460 in.^2
Step-by-step explanation:
Using the formula provided in the image: <em>SA = 2lw + 2lh + 2wh</em>
Length = 10 in.
Height = 12 in.
Width = 5 in.
2(10 * 5) + 2(10 * 12) + 2(5 * 12) = 100 + 240 + 120 = 460
