Answer:
The first one is 5m - 4y.
The second one is 3x - 4y.
Step-by-step explanation:
Expand
13x - 16 - 10x = 12 - 11x
Simplify 13x - 16 - 10x to 3x - 16
3x - 16 = 12 - 11x
Add 16 to both sides
3x = 12 - 11x + 16
Simplify 12 - 11x + 16 to -11x + 28
3x = -11x + 28
Add 11x to both sides
3x + 11x = 28
Simplify 3x + 11x to 14x
14x = 28
Divide both sides by 14
x = 28/14
Simplify 28/14 to 2
x = 2
This is like a triangle.
One side, the hypotenuse, is the length of the ladder, 10 feet in this case.
Another side, one of legs, is the distance from the bottom of the ladder to the side of the wall, 6 feet.
The last side is what we need to find, how high up the ladder reaches.
Using the p<span>ythagorean theorem, we can find this third side.
This is written as a^2 + b^2 = c^2.
A and B are the legs, while C is the hypotenuse.
Plugging in known values, we get:
6^2 + b^2 = 10^2
Solve as much as possible:
6^2 = 36
10^2 = 100
36 + b^2 = 100
Now you must isolate b.
Subtract 36 from both sides.
100 - 36 = 64
b^2 = 64
The last step in finding b is doing the inverse of squaring, which is square rooting.
√64 = 8
So b equals 8.
This means that <span>the ladder can reach 8 feet up the wall.</span></span>
Answer:
A) 1
Step-by-step explanation:
2(1+x)= x+3
2(1+1)= 1+3
2×2= 4
4=4
Hence proven
