Answer:
x=2, y=3
Step-by-step explanation:
This is a <u>system of equations</u>.
To solve a system of equations, we use the substitution method.
We can plug in the first equation,
, into the value for <em>x</em> in the second equation. Now, the second equation looks like this:

We simplify and solve for <em>y</em>:
→ 
→ 
→ 
Now, we plug in the value for <em>y</em>, which is 3, into either equation. I will just use the first equation:
→ 
→ 
Let me know if my explanation is unclear.
-2bc=12-3ab
c=(3ab-12)/(2b)
Answer:
140.37 in²
Step-by-step explanation:
C = 2πr
42 = 2πr
21 = πr
r = 21/π
A = πr²
A = π × (21/π)²
≈ 140.37 in²
So the perimeter(P) of a rectangle would be:
P= 2L+2W
L being the length and W being the width.
The problem says the length is 4cm more than the width, so L= 4+W.
So if we substitute L with 4+W, we get:
P= 2(4+W) + 2W
Use the Distributive Property
P= 8+2W+2W
Combine like terms
P=8+4W
Since we're given the perimeter, we could replace P with 52. So:
52=8+4W
Subtract 8 to both sides
44=4W
Divide 4 to both sides
11=W
Therefore, the width is 11cm
And since the length is 4cm more than the width, we could add 4cm to 11cm to find that the length is 15cm
Thus, the dimensions of the rectangle are 15cm by 11cm
Answer:
a, c, c, d, c, c.
Step-by-step explanation:
I worked out the math