Answer:
4hx - 8x - 3h - 4
k = ------------------------
5
8x + 5k + 4
h = ------------------------
4x - 3
Step-by-step explanation:
4 (hx - 1) - 3 (x + h) = 5 (x + k)
4hx - 4 - 3 (x + h) = 5 (x + k)
4hx - 4 - 3x - 3h = 5 (x + k)
4hx - 4 - 3x - 3h = 5x + 5k add 3h both sides
4hx - 4 - 3x - 3h + 3h = 5x + 5k + 3h simplify
4hx - 4 - 3x = 5x + 5k + 3h add 4 both sides
4hx - 4 - 3x + 4 = 5x + 5k + 3h + 4 simplify
4hx - 3x = 5x + 5k + 3h + 4 subtract 5x from both sides
4hx - 3x - 5x = 5x + 5k + 3h + 4 - 5x simplify
4hx - 8x = 5k + 3h + 4
4hx - 8x - 3h - 4 = 5k
4hx - 8x - 3h - 4
k = ------------------------
5
<u>solving for h;</u>
4hx - 3h = 8x + 5k + 4
h(4x - 3) = 8x + 5k + 4
8x + 5k + 4
h = ------------------------
4x - 3
Answer:
24 in all
Step-by-step explanation:
1,100/45=24
25+20=45
Answer:
option b) 0.079
Step-by-step explanation:
The explanation for this question is given in the attachment below.
Answer:
A. (x, y) → (x,-y), (x, y) → (x + 1, y + 1)
Step-by-step explanation:
Plot points B, C and D on the coordinate plane (blue points in attached diagram).
1 transformation is reflection across the x-axis with the rule
(x,y)→(x,-y)
and it maps these points to
- B(-3,0)→B'(-3,0)
- C(2,-1)→C'(2,1)
- D(-1,2)→D'(-1,-2)
These image points are marked in green in attached diagram.
2 transformation is translation 1 unit to the right and 1 unit up with the rule
(x,y)→(x+1,y+1)
and it maps previous image points to
- B'(-3,0)→B''(-2,1)
- C'(2,1)→C''(3,2)
- D'(-1,-2)→D''(0,-1)
Answer:
67
Step-by-step explanation:
67, 76, 67, 76, 67, 23, 32, 23, 32
,0
Put the numbers in order from smallest to largest
0,23, 23, 32,32,
67, 67, 67, 76, 76,
The mode is the number that appears most often
67 appears 3 times so it is the mode
