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Aleksandr [31]
3 years ago
9

A segment has endpoints A(-3,5) and B(2,1) find the midpoint M of the segment

Mathematics
2 answers:
Leto [7]3 years ago
5 0

Answer:

The midpoint of the given segment is (-0.5, 3)

Step-by-step explanation:

The formula for mid-point is \left(\frac{x_{1}+x_{2}}{2}\right) \text { and }\left(\frac{y_{1}+y_{2}}{2}\right)

Now, from the given question endpoints A (-3,5) and B (2,1)

We know that x_{1}=-3 \text { and } x_{2}=2 \text { and } y_{1}=5 \text { and } y_{2}=1

Substituting the values in the mid-point formula we get

x-coordinate is \left(\frac{x_{1}+x_{2}}{2}\right)=\left(\frac{-3+2}{2}\right)=\frac{-1}{2}=-0.5

y-coordinate is \left(\frac{y_{1}+y_{2}}{2}\right)=\left(\frac{5+1}{2}\right)=\frac{6}{2}=3

Hence, midpoint of the given endpoints is (-0.5,3) Thus we found the midpoint of the segment of the given end points.

Vlad1618 [11]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

where:

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  • r is the radius

From inspection of the diagram, the center of the circle <em>appears</em> to be at point (-3, 2), although this is not very clear.  Therefore, a = -3  and  b = 2.

Substitute these values into the general form of the equation of a circle:

\implies (x-(-3))^2+(y-2)^2=r^2

\implies (x+3)^2+(y-2)^2=r^2

Again, from inspection of the diagram, the <u>maximum vertical point</u> of the circle appears to be at y = 5.  Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:

⇒ radius (r) = 5 - 2 = 3

Substitute the found value of r into the equation:

\implies (x+3)^2+(y-2)^2=3^2

Therefore, the final equation of the given circle is:

\implies (x+3)^2+(y-2)^2=9

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2 years ago
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find the volume of the prism. stack of newspapers. height is 12 in. width is 10 in. lenth is 12 inches. what is the volume.
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1440 is the volume of that.
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Answer:

4Q a). angle1=55°

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angle3=63°

angle4=125°

5Q. x=35°

6Q. y=15°

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10Q. A.A.S.

11Q. S.S.S.

12Q. Not possible

13Q. S.A.S.

14Q. S.S.S.

15Q. 66°

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I hope it will be useful.

Step-by-step explanation:

7Q. angle1=angle3 (Alternate Interior Angles)

angle2=angle4 (A.I.A.)

angleXWZ=angleXYZ (opposite angles of a parallelogram)

By A.A.A. congruence criteria, they are congruent.

8Q. Hint: Make the diagram first!

AngleC is halved since M is the mid-point.

angleA=angleB (Property of an isosceles triangle)

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Answer:

Slope (m) =

ΔY

ΔX

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1

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θ =  

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ΔX = 1 – 5 = -4

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Equation of the line:

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Step-by-step explanation:

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