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kondor19780726 [428]
3 years ago
10

Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R

ound the distance to the nearest tenth. P(−4, 1) and Q(0, 7) The midpoint is at M( , ). Question 2 The distance between the two points is about units.​
Mathematics
1 answer:
Mrac [35]3 years ago
6 0

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5           exactly

The distance = 8.94    

The distance = 8.9            To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

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nasty-shy [4]

Answer:

If you're trynna simplify these are the answers:

4.) -116

5.) -13

Step-by-step explanation:

4.) −4((5)(4)+9)

=(−4)((5)(4)+9)

=(−4)((5)(4))+(−4)(9)

=−80−36

=−116

5.) 9+84−(6)(4)

=9+2−(6)(4)

=11−(6)(4)

=11-24

= -13

5 0
3 years ago
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If a certain negative number is multiplied by six, the result is the same as 20 less than the original number. What is the value
Wittaler [7]

  • let the number be X
  • 6X=X-20
  • X+6X=20
  • -5X=20
  • X=-4

5 0
3 years ago
PLease help me quickly
Mnenie [13.5K]

Answer:

3rd option

Step-by-step explanation:

7 0
2 years ago
Someone help please i am so bad at point slope stuff
Fynjy0 [20]
<span>1) Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). y = 1/2x

2)Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). 
m = (-9 - 1) / (6 - 7) = -10/-1 = 10
y + 9 = 10 (x - 6)
y = 10x - 69

3) A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line. 

4)Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).
m = (5 - 4) / (-3 - -1) = 1/-2
y - 5 = (-1/2) (x +3)
y = (-1/2)x + 7/2

5) Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1).
m = (6-1)/(6 - -6) = 5 / 12
y - 6 = (5/12) (x-6)
y = (5/12)x + 17 / 2

6) Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).
m = (2 - -4)  / (-8 -1) = 6 / -7
y - 2 = (-6/7) (x + 8)
y = (-6/7)x - 50 / 7


7) Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1).
m = (-9 - 1) / (5 - -6) = -10 / 11
y + 9 = (-10 / 11) (x - 5)
y = (-10 / 11)x -49/11

</span>
3 0
3 years ago
6. Find the missing value. Show your work.
VLD [36.1K]
For the 51-deg angle, y is the opposite leg, and 12 is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

sin 51 deg = y/12

y = 12 * sin 51 deg

y = 9.3
4 0
3 years ago
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