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zhuklara [117]
3 years ago
9

What is the radius of a circle whose endpoints of a diameter are A(-4, 14) and B (2,8)​

Mathematics
1 answer:
kupik [55]3 years ago
8 0

9514 1404 393

Answer:

  3√2

Step-by-step explanation:

The length of the diameter is given by the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((2 -(-4))² +(8 -14)²) = √(36 +36) = 6√2

The radius is half the diameter, so the radius of your circle is 3√2.

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Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'
MArishka [77]

The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.

From the graph:

The two points are (-4, -2) and (4, 5)

The line equation passing through two points:

[y - 5] = (5+2)/(4+4)[x - 4]

y - 5 = 7/8[x - 4]

8y - 40 = 7x - 28

8y = 7x + 12

Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

6 0
2 years ago
A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimet
ale4655 [162]

9514 1404 393

Answer:

  • 16,965 mm/min
  • 90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

6 0
3 years ago
-5g - 2 + 5g + 6g -g
e-lub [12.9K]
Answer : -2 +5G
Hopefully this is right

4 0
2 years ago
I don't know how to do something​
kotegsom [21]

Answer:what is the question ?

Step-by-step explanation:

4 0
3 years ago
Evaluate the polynomial when a. x = 0 and b. X = - 1.<br><br> x^2 - 8x - 7
jeka57 [31]

Answer:

(a) -7, (b) 2

Step-by-step explanation:

a) When x = 0,

=> x² - 8x - 7

=> (0)² - 8(0) - 7

=> 0 - 0 - 7

=> - 7

b) When x = -1,

=> x² - 8x - 7

=> (-1)² - 8(-1) - 7

=> 1 + 8 - 7

=> 9 - 7

=> 2

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

3 0
2 years ago
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