Answer:
<u>radius = √13</u>
Step-by-step explanation:
Forming the equation :
<u>(x - h)² + (y - k)² = r²</u>
- (x, y) = point on circle
- (h, k) = center of circle
- r = radius
Solving :
- (-2 + 4)² + (3 - 6)² = r²
- r² = 4 + 9
- <u>radius = √13</u>
Answer:

Step-by-step explanation:
In this problem, it is given that,
The stopping distance, D, in feet of a car is directly proportional to the square of it's speed, V.
We need to write the direct variation equation for the scenario above. It can be given by :

To remove the constant of proportionality, we put k.

k is any constant
Hence, this is the required solution.
Answer:
122°
Step-by-step explanation:
The measure of the central angle is twice the measure of the inscribed angle that subtends the same arc.
∠ABC = 2×∠ADC = 2×61°
∠ABC = 122°
Answer:
- 1 2/6 - 1/6
- 1 3/6
-1 1/2
Step-by-step explanation:
The length of the diagonal of the rectangle will be 14.142 units.
<h3>What exactly is a rectangle?</h3>
It has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.
Rectangle diagonals are equally equal and meet at the midpoint.
O is the circle's center, MNOP is its rectangle, and the circle's area is 100 in the diagram to the left.
Area of circle=πr²
100 π= πr²
r= 10 units
The length of the rectangle is equal to the radius of the circle is 10 units. The length of the diagonal is √2 times the side of the rectangle;
L=√2 R
L=1.414×10
L=14.14
Hence the length of the diagonal of the rectangle will be 14.142 units.
To learn more about the rectangle, refer to the link brainly.com/question/13747846.
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