Hello!
You solve this algebraically
4(m + 9) = -2(m - 5) + 2
Distribute the 4
4m + 36 = -2(m - 5) + 2
Distribute the -2
4m + 36 = -2m + 10 + 2
combine like terms
4m + 36 = -2m + 12
Add 2m to both sides
6m + 36 = 12
Subtract 36 from both sides
6m = -24
Divide both sides by 6
m = -4
Hope this helps!
Answer:
1. a. 25 in²
2. NO. The side lengths don't form a triangle, so cannot form a right triangle.
3. 17
4. 9
Step-by-step explanation:
These are exercises in the application of the Pythagorean theorem, which tells you that for a right triangle, the square of the hypotenuse is the sum of the squares of the other two sides.
In every case, you are given two sides and asked to find the third. Based on the given sides, you need to determine whether you're finding a sum (the hypotenuse) or a difference (one leg).
Since the theorem gives the relation between the squares, you need to find the square root of the sum or difference in order to find the actual length.
_____
In the first problem, the squares are shown as actual squares, the area of which is equal to the square of the side length. The Pythagorean theorem tells you the larger square has an area that is the sum of the areas of the smaller squares.
Answer:
3 - 7j is the answer
Step-by-step explanation:
-5j + -2j + 3
|_______|
-7j + 3 [or vice versa, like in the above answer]
Answer:
D.
Step-by-step explanation:
One and a half gallons. (1.5 gallons)