Determine and state the coordinates of the center and the length of the radius of a circle whose equation isx2 + 6x + y2 - 4y = 10
Answers
Answer: center = (-3, 2) radius = √23
Step-by-step explanation:
The equation of a circle is: (x - h)² + (y - k)² = r²
where center = (h, k) and radius = r
Complete the square for both x and y:
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What is the simplified expression for the expression below?- 1/5(5х+20) -1/4 (4x– 28)ооооО-2х + 3о-2x – 30 -2х – 80 -2х + 8
Answers
2 3/4 = 11/4
5/3 ÷ 11/4 = 5/3 × 4/11
= 20/33
b) (7/2, 15)
c) (7, 15)
d) (6, 5)
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= (7/2, 15/2)
a. (7/2, 15/2)
Answers
What is its perimeter (to the nearest hundredth)?
Answers
Answer:
Perimeter of circle = 12.57 meter.
Step-by-step explanation:
Given : A circle has a diameter of 4 meters.
To find : What is its perimeter (to the nearest hundredth).
Solution : We have given that diameter = 4 meters.
Perimeter of circle = pi * diameter.
Perimeter of circle = 3.14 * 4.
Perimeter of circle = 12.566
Perimeter of circle = 12.57 meter.
Therefore, Perimeter of circle = 12.57 meter.
When the shape is a circle, its perimeter is called the
"circumference" of the circle.
The circumference of a circle is always (pi) times its
diameter.
(pi) is roughly 3.1416 . So if the diameter is 4 meters,
then the circumference is
12.5664... meters .
Rounded to the nearest hundredth, that's 12.57 meters.
Answers
Final answer:
The probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.
Explanation:
In order to find the probability that Samuel pulls more than 20 cents out of his pocket, we need to determine the sample space and the favorable outcomes.
The sample space is the set of all possible outcomes, which in this case is the number of ways Samuel can choose 2 coins out of the 3 coins in his pocket. The number of ways to choose 2 coins out of 3 is given by the combination formula, which is C(3, 2) = 3.
The favorable outcomes are the number of ways Samuel can choose 2 coins that total more than 20 cents. Since Samuel has a nickel (5 cents), a dime (10 cents), and a quarter (25 cents), the favorable outcomes are:
- Choosing the dime and quarter, which has a total value of 10 + 25 = 35 cents
- Choosing the nickel and quarter, which has a total value of 5 + 25 = 30 cents
Therefore, there are 2 favorable outcomes out of a total of 3 possible outcomes, so the probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.
Learn more about Probability here:
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Answers
Answer: Associative property of multiplication.
Step-by-step explanation:
The property demonstrated by the statement "(4 x 8) x 3 = (4 x 4) x 3" is the associative property of multiplication.
The associative property of multiplication states that you can change the grouping of numbers in a multiplication expression without changing the result. In this case, both sides of the equation involve multiplication, and the numbers being multiplied are grouped differently but still yield the same result.