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fenix001 [56]
3 years ago
14

Find the distance between the pair of points (2,6) and (7,-4)​

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0
The distance will be 11.1803.
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Point C is the center of the circle. The measure of angle ACB is 3x + 120. Arc AB measures 65x – 4. Find the measure of arc AB.
katovenus [111]
In a circle The measurement of a CENTRAL ANGLE (vertex C) is equal to the measurement of the arc intercepted:

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5 0
3 years ago
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Answer:

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7 0
3 years ago
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1. What is an equation for the line with slope 2/3 and y-intercept 9?
Monica [59]
Question 1:

 The generic equation of the line is given by:
 y = mx + b

 Where,
 m: slope of the line
 b: cutting point with the y axis
 Substituting values ​​we have:
 y = \frac{2}3}x + 9

 Answer:
 an equation for the line with slope 2/3 and y-intercept is:
 y = \frac{2}3}x + 9

 Question 2:

 The standard equation of the line is given by:
 y-yo = m (x-xo)

 Where,
 m: slope of the line
 (xo, yo): ordered pair that belongs to the line
 The slope of the line is:
 m =  \frac{y2-y1}{x2-x1}
 Substituting values:
 m = \frac{1-(-3)}{3-1}
 m = \frac{1+3}{3-1}
 m = \frac{4}{2}
 m = 2

 We choose an ordered pair:
 (xo, yo) = (3, 1)

 Substituting values:
 y-1 = 2 (x-3)

 Rewriting:
 y = 2x - 6 + 1

y = 2x - 5
 Answer:
 An equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1) is:
 y = 2x - 5


 Question 3:

 For this case, since the variation is direct, then we have an equation of the form:
 y = kx
 Where,
 k: constant of variation.
 We then have the following equation:
 -4y = 8x
 Rewriting we have:
 y = \frac{8}{-4}x

 y = -2x
 Therefore, the constate of variation is given by:
 k = -2

 Answer:
 the constant of variation is:
 k = -2

 Question 4:

 For this case, since the variation is direct, then we have an equation of the form:
 y = kx
 Where,
 k: constant of variation.
 We must find the constant k, for this we use the following data:
 y = 24 when x = 8
 Substituting values:
 24 = k8
 Clearing k we have:
 k =  \frac{24}{8} 

 k = 3

 Therefore, the equation is:
 y = 3x
 Thus, substituting x = 10 we have that the value of y is given by:
 y = 3 (10)

y = 30 Answer:
 the value of y when x = 10 is:
 y = 30
6 0
3 years ago
Read 2 more answers
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