We can think of this as an equality
5 Lawns = 8 Hours
If she needs 40 hours, you can multiply 8 hours by 5 to get 40, but now it's not balanced. So, you need to multiply 5 to the other side too so:
5 x (5) = 8 x (5)
Therefore she mows 25 Lawns in 40 Hours
You can find the numerical part of the answer because it is the same on the right side.
For example:
¹ <<==== Regrouped
89
+
67
---------
146 <<=== I had to press space so I could position it.
So that also happens in subtraction, the left side can be found by doing the same steps in the right column.
For example:
67
- <<=== this time there was no regrouping
12
-------
55
Answer:
(6, -2)
Step-by-step explanation:
To get to x=1 from x=-2, you must add 3 to the x-coordinate. Only one answer choice has an x-coordinate that is 3 more than that of the given point:
3 + 3 = 6
The image point is (6, -2).
_____
<em>Check</em>
To get from a y-coordinate of 5 to an image point y-coordinate of 1, you must subtract 4. If you subtract 4 from the y-coordinate of (3, 2), you get 2-4 = -2, the y-coordinate in the chosen answer above.
Polynomials can have double roots, in fact they're pretty common. if you get a reasonable zero it costs very little time to try it again for a double root. answer is the second choice
Answer:
-8±√17 and -8±6√2
Step-by-step explanation:
1. x+16/x=4, x^2+16-4x=0. x=-8±√17
2. x+16/x=8, x^2+16-8=0. x=-8±6√2
