Try to imagine this word problem, there is a wall and a ladder leaning against it, the space from the bottom of the ladder is labeled 6 and the length of the height the ladder reaches on the wall is 8. Imagine this as a right triangle now, where the length of the ladder is the hypotenuse and the length of the legs of the triangle is 6 and 8. Because we know this, we can use the Pythagorean theorem, a^2+b^2=c^2
We then plug in the values and you get 6^2+8^2=c^2
When you simplify, you get 36+64=c^2 which is c^2=100
When you solve for c, you get c=10 which would be the length of the ladder :)
Answer:
No, Ivory is incorrect. The equation does have a solution, and the solution is x = -1.
Step-by-step explanation:
We try to solve the equation first.
2x + 2 = x + 1
We want all variables on the left side and all numbers on the right side.
Subtract x from both sides.
x + 2 = 1
Subtract 2 from both sides.
x = -1
Check: Plug in -1 for x on both sides and see if it makes a true statement.
2x + 2 = x + 1
2(-1) + 2 = -1 + 1
-2 + 2 = 0
0 = 0
0 = 0 is a true statement, so the solution x = -1 is the correct solution.
Answer: Ivory is incorrect. The equation does have a solution, and the solution is x = -1.
5x-16 = 4(x-8)-3x
first expand what is in parenthesis
4(x-8) = 4x-32
so now you have 5x-16 = 4x-32-3x
subtract 3x from 4x on the right side of equation 4x-3x = x
5x-16 = x -32
subtract 1x from each side to get
4x-16 = -32
add 16 to both sides to get 4x=-16
x = -16/4 = -4
x=-4
It would be nice to know some options, but here's Morris's speed.
Since Morris is traveling at three feet per second, we want to change it to per hour.
3 * 3600 = 10800 feet per hour
And we would want to convert that to miles per hour.
10800/5280 is about 2, more specifically 2.05 ish.
So Morris is traveling 2 mph less then 50, or about 48 mph.
