A hiker is lost in the woods. A search team has created a coordinate grid to represent the woods. Each unit on the grid is one square mile. The hiker was last seen at (5, 10) and could have walked 12 miles in any direction since then. Which equation represents the area the hiker could be in? A)
(x - 5)2 + (y - 10)2 = 122

B)
(x + 5)2 + (y + 10)2 = 122

C)
(x - 10)2 + (y - 5)2 = 122

D)
(x + 10)2 + (y + 5)2 = 122

Answers

Answer 1

Answer: The correct answer is A) (x-5)²+(y-10)²=12².

The graph of possible locations would be a circle, since he could be in any direction. 12 would be the radius, since he could be 12 miles away. The center of the circle would be his last location. The equation of a circle is given by:

(x-h)²+(y-k)²=r²

Since (5, 10) is the center and 12 is the radius, this gives us
(x-5)²+(y-10)²=12²

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A bicycle is on sale at $12 more than half of the regular price. If the sale price is $75, find the regular price.

Answers

The regular price of the bicycle will be $126.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a bicycle is on sale at $12 more than half of the regular price and the selling price is $75.

The regular price of the bicycle will be calculated as below:-

( P / 2 ) + 12 = 75

P + 24 = 150

P = 150 - 24

P = 126

Therefore, the regular price of the bicycle will be $126.

To know more about an expression follow

brainly.com/question/723406

#SPJ2

so 12 more than half the regular price.
let's let $p$ be the original price.

$(1)/(2) p + 12 = 75$
right?
Now you just have to solve from there.

Rathan thinks all factors of even numbers are even. Which explains whether Rathan is correct? He is correct because the product of 2 and any number is even.
He is correct because the product of two even numbers is even.
He is incorrect because the product of an even number and an odd number is even.
He is incorrect because the product of two odd numbers is odd

Answers

The answer to this would be C, the third of the options. This is the only response that fully answers the question. For example, two factors of 42 would be 6 and 7, and both are not even, so given the absolute nature of Rathan's belief, there is no exception that can be made to make him correct. I hope this helps, and if it was sufficient to make you understand fully set it to the brainliest answer. Have a nice day! =)

The correct answer is:

He is incorrect because the product of an even number and an odd number is even.

Explanation:

When you multiply any number by an even number, whether it is even or odd, the product will be even.

This means that an even number can have an odd factor, and Rathan is incorrect.

why is the following incorrect? 296 divided by 6 equals 48 remainder 8.Write your answer before you complete the calculation

Answers

296 divided by 6 equals 49 remainder 2

What is the measure of an interior angle of a regular polygon iwth 15 sides

Answers

To find the measure of an interior angle of any regular polygon, we use the formula:

180 * (n-2) / n,

where n is the number of sides in the regular polygon.

Therefore, if there are 15 sides in the regular polygon, your answer would be

180 * (15-2) / 15,

or when simplified,

180 * 13 / 15

2340 / 15

156 degrees.

Thus, the measure of an interior angle of a regular polygon with 15 sides is 156 degrees.

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i know how to find the percent, but don't know how to find the rate of change. Please help!

Answers

actually rate means anything divided by time......hope it helps

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