Answer: m = 7
Step-by-step explanation: This equation is written in slope-intercept form which is the same thing as y = mx + b form where <em>m </em>represents the slope of the line and <em>b</em> represents the y-intercept.
Now looking at this equation, we can see that <em>m</em> or the slope of the line is 7.
Answer:
<u>45°</u>
Step-by-step explanation:
From the diagram :
- ∠AOC = ∠AOB + ∠BOC
- 96 = 9x - 75 + 8x - 67
- 17x - 142 = 96
- 17x = 238
- x = 238/17
- x = 14
Finding ∠BOC :
- ∠BOC = 8x - 67
- ∠BOC = 8(14) - 67
- ∠BOC = 112 - 67
- ∠BOC = <u>45°</u>
Answer:
US= 24
Step-by-step explanation:
B is the mid point of the diagonal which means that to get US you would add VS which is 12 and you get 24
You have to add the last number to itself. So the next number would be 32 because 16 + 16 equals 32. Then you add 32 + 32 so the next number would be 64
1, 2, 4, 8, 16, 32, 64, 128
Area of pool edge = Area of big rectangle - Area of the pool
Area of pool edge = Area of the pool = 40 × 60 = 2400 ft²
2400 = Area of big rectangle - 2400
Area of big rectangle = 2400 + 2400
Area of big rectangle = 4800
Length × width = 4800
From the diagram, we need the length to be [x + x] more than the length of the pool, where x is the distance from the pool edge to the patio edge.
We also need the width of the big rectangle to be [[x + x] more than the width of the pool.
Length = 60 + 2x
Width = 40 + 2x
Length × Width = [60+2x] × [40+2x]
4800 = 2400 + 120x + 80x + 4x²
0 = 4x² + 200x - 2400
0 = 4[x² + 50x - 600]
0 = x² + 50x - 600
0 = [x - 60] [x + 10]
x - 60 = 0 OR x + 10 = 0
x = 60 OR x = -10
We can only use the positive value of x since the context is length
Hence, x = 60