Answer: 120 degrees
Explanation: Flat surfaces are equal to 180 degrees. 180 minus 60 is 120.
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
Step-by-step explanation:
5. Let the equation of the line be y = mx + c
m = (6-15)/(2-(-1)) = -3
sub (2, 6) and m = -3:
6 = -3(2) + c
c = 12
Equation of the line: y = -3x + 12
6. Let the equation of the line be y = mx + c
y-intercept of 7 means c = 7
y = mx + 7
x-intercept: value of x when y = 0
therefore, sub (4, 0):
0 = m(4) + 7
m = -7/4
Equation of the line: y = -7/4x + 7
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Answer:
3. 7/12.
4. 7/5.
5. 1.
Step-by-step explanation:
The slope of a line can be obtained by taking the ratio of change in y-coordinate to that of x-coordinate. Mathematically, it is expressed as:
Slope = Δy /Δx
Δy = y2 – y1
Δx = x2 – x1
With the above formula in mind, let us answer the questions given above.
3. Point => (–8, –2) (4, 5)
x1 = –8
x2 = 4
Δx = x2 – x1
Δx = 4 – –8
Δx = 4 + 8
Δx = 12
y1 = –2
y2 = 5
Δy = y2 – y1
Δy = 5 – – 2
Δy = 5 + 2
Δy = 7
Slope = Δy /Δx
Slope = 7/12
4. Point => (3, –5) (8, 2)
x1 = 3
x2 = 8
Δx = 8 – 3
Δx = 5
y1 = –5
y2 = 2
Δy = y2 – y1
Δy = 2 – – 5
Δy = 2 + 5
Δy = 7
Slope = Δy /Δx
Slope = 7/5
5. Point => (–4, –5) (4, 3)
x1 = –4
x2 = 4
Δx = x2 – x1
Δx = 4 – –4
Δx = 4 + 4
Δx = 8
y1 = –5
y2 = 3
Δy = y2 – y1
Δy = 3 – – 5
Δy = 3 + 5
Δy = 8
Slope = Δy /Δx
Slope = 8/8
Slope = 1
Slope-intercept form is y = mx + b
The slope can be found by dividing y(2) - y(1) by x(2) - x(1).
4 - 3 = 1
2 - 0 = 2
m = 1/2
Since the first point has an x-coordinate of 0, the y-coordinate is the y-intercept of the line.
b = 3
Equation: y = 1/2x + 3
