B(5 - 2, -6 + 3, -1 + 1) = B(3, -3, 0)
Integers can only be whole numbers, so she should have said that negative WHOLE numbers are integers.
Answer: (0,2), (3,0), (6, -2)
1. 1/5 = x - 9 / x
2. Cross multiply x = 5 (x - 9)
3. Distribute x = 5x - 45
4. Move the variable and change the sign x - 5x = -45
5. Add like terms -4x = -45
6. Divide x = 45 / 4
So the solution is x = 45 / 4 or 11.25
Answer:
∠S = 151
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540
Or 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
This is the equation we will use to solve for x
Step 1 combine like terms
10x = 5x + 7x + 13x + 8x = 43x
-3 + 2 - 11 - 31 - 19 = -62
We now have 540 = 43x - 62
Step 2 add 62 to each side
-62 + 62 cancels out
540 + 62 = 602
we now have 602 = 43x
Step 3 divide each side by 43
43x / 43 = x
602 / 43 = 14
we're left with x = 14
Finally we plug in 14 for x in the given expression for ∠S
∠S = 13x - 31
* substitute 14 for x *
∠S = 13 ( 14 ) - 31
∠S = 13 * 14 = 182
182 - 21 = 151
Thus, ∠S = 151
