Answer:
r = 13, 3
Step-by-step explanation:
| r - 8| = 5
All solutions for r by breaking the absolute value into the positive and negative components
r = 13, 3
Answer:
- (3, 5), (1, 2) and (5, 1)
Step-by-step explanation:
Make three systems with pairs of lines and solve them to work out the vertices.
1) <u>Line 1 and line 2</u>
<u>Double the second equation and subtract equations:</u>
- -3x + 2y - 2(2x + y) = 1 - 2(11)
- -3x - 4x = 1 - 22
- -7x = - 21
- x = 3
<u>Find y:</u>
- 2*3 + y = 11
- 6 + y = 11
- y = 11 - 6
- y = 5
The point is (3, 5)
2) <u>Line 1 and line 3</u>
<u>Triple the second equation and add up equations:</u>
- -3x + 2y + 3(x + 4y) = 1 + 3(9)
- 2y + 12y = 1 + 27
- 14y = 28
- y = 2
<u>Find x:</u>
- x + 4*2 = 9
- x + 8 = 9
- x = 1
The point is (1, 2)
3) <u>Line 2 and line 3</u>
<u>Double the second equation and subtract the equations:</u>
- 2x + y - 2(x + 4y) = 11 - 2(9)
- y - 8y = 11 - 18
- - 7y = - 7
- y = 1
<u>Find x:</u>
- x + 4*1 = 9
- x + 4 = 9
- x = 5
The point is (5, 1)
25x^2+10x+1
(25x^2+5x)(+5x+1)
5x(5x+1) +1(5x+1)
(5x+1) (5x+1)
X=1/5
Answ
$11.00
Step-by-step explanation:
A quick way to do this would be as follows: 1.10 ( 0.50*$20), or $11.00.
0.50($20) gives us the sale price (at half off); that's half of $20, or $10.
The total due is then $10 (item cost) plus $1 (tax), or $11
Answer:
1 + 1 = 2, if you are doing multiplication then it is 1 x 1 = 1
Step-by-step explanation:
