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Dmitrij [34]
3 years ago
7

Identify the equation of the circle that has its center at (7, -24) and passes through the origin.

Mathematics
1 answer:
krok68 [10]3 years ago
3 0

The equation of this line would be (x - 7)^2 + (y + 24)^2 = 625

This is because of the base equation for circles, which is:

(x - x1)^2 + (y - y1)^2 = r^2

In which, x1 is the x-coordinate to the center, y1 is the y-coordinate to the center and r is the radius.

So we start by putting in out known values.

(x - 7)^2 + (y + 24)^2 = r^2

However, we still don't know the r value. To find it, we must use the Pythagorean Theorem to find the distance between the center and the origin.

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

625 = c^2

25 = c

So we know the radius must be 25. So we can plug that into what we already had.

(x - 7)^2 + (y + 24)^2 = 25^2

(x - 7)^2 + (y + 24)^2 = 625

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Mr. Cornapple is the fruit & vegetable buyer for a large school district. In a given week, he has a budget of $6,550. Bushel
Nina [5.8K]

Answer:

40x + 30y ≤ 6,550

Step-by-step explanation:

Given:

Cost of each apple bushels = $40

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Find:

Inequality

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Assume;

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So,

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6 0
3 years ago
I need help with this Pythagorean Theorem word problem
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Answer:

10.63.

Step-by-step explanation:

First we need to understand pythagorean theorem that is,

Hypotenuse^2=perpendicular^2+base^2.

=7^2+8^2.

=49+64

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Hypotenuse^2=113.

Square root both sides.

Hypotenuse=10.63.

5 0
3 years ago
Can I get help with these too? Thank you!!!!!
Anastasy [175]
For ABC:

The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54

The measure of angle ABC = x - 5 = 54 - 5 = 49

For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21

The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
7 0
3 years ago
9.
Masja [62]

Answer: The Answer is D.

Step-by-step explanation: IT is D because a FUNCTION DOES NOT suppose to hit more than 1 point. You can also use the vertical line test meaning take a pencil or pen hold it up and down and drag it across you screen or paper, and if it hits more than 1 point it is NOT a FUNCTION. Plus rate the Brainlest

8 0
3 years ago
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