Answer:
(x-7)²+(y+24)² = 625
Step-by-step explanation:
A circle with center (h, k) and radius r can be represented as
(x-h)²+(y-k)² = r²
We know the center and one point, and need to find the radius. The radius is equal to the distance from the center to any point on the circle. Therefore, we need to find the distance from the center to the point on the circle (in this case, the origin) to obtain the radius.
The distance formula for points (x₁, y₁) and (x₂, y₂) is √((x₁-x₂)²+(y₁-y₂)²). Note that x₁ and x₂ (as well as y₁ and y₂) are interchangeable but x₁ and y₁ or x₂ and y₂ are not.
Our distance between (7, -24) and the origin is
√((x₁-x₂)²+(y₁-y₂)²) = √((7-0)²+(-24-0)²)
= √625
= 25
Therefore, the radius is 25 and our equation is
(x-7)²+(y-(-24))² = (x-7)²+(y+24)² = 25² = 625
Answer:
82
Step-by-step explanation:
Im pretty sure the answer is 82 as it's a striaght line and all you have to do is subtract 180-98
Subtract the number at the baseball game from the hockey game:
2058 - 1300 = 758
There was 758 more people at the hockey game.
Answer:
b
Step-by-step explanation:
Answer: There are 13³/₄ quarts of lemonade.
In decimal form, that is 13.75 quarts.
Step-by-step explanation:
Multiply 7 1/2 times 1 5/6
It may be good to change the mixed numbers to improper fractions:
7¹/₂ becomes 15/2 and 1⁵/₆ becomes 11/6
15/2 × 11/6 = 165/12
Changing that back to a mixed number involves dividing
165÷12 = 13 with a remainder of 9.
Make a fraction of the remainder as the numerator and 12 as the denominator. 9/12.
Then simplify: 9/12 = 3/4
Assemble the mixed number: 13³/₄
<em>Another way is to change the fractions to decimals and calculate:</em>
<em>7.5 × 1.833 = 13.7475. Round to 13.75 and change back to a fraction if required.</em>
