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icang [17]
3 years ago
15

Write the standard equation of a circle with center (-1, 4) and radius 5

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

Answer:

(x + 1)² + (y - 4)² = 25

Step-by-step explanation:

The general equation for a circle is given by the formula;

x² + y² + 2hx + 2ky + c = 0 ......equation 1.

Where the center is C(-h, -k)

Also, the standard form of the equation of a circle is;

(x - h)² + (y - k)² = r² ......equation 2.

Where;

h and k represents the coordinates of the centre.

r represents the radius of the circle.

Given the following data;

h = -1

k = 4

r = 5

Substituting into eqn 2, we have;

(x - {-1})² + (y - 4)² = 5²

Simplifying further, we have;

(x + 1)² + (y - 4)² = 25

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andreyandreev [35.5K]

Answer:

\frac{-10}{9}, \frac{-2}{3}, \frac{4}{6}, \frac{6}{5}, \frac{5}{4}  

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3 0
3 years ago
If the can of dogfood holds 8 ounces and the bag of dogfood holds 30 times the volume , how many pounds of dogfood does the bag
Maru [420]

Answer:

15 pound in a bag

Step-by-step explanation:

one can= 8 oz

one bag= 30 times the amount in a can

               8 oz x 30 =  240 oz in a bag

Question asked how many pound is in one bag of dog food:

We know that 16 oz = 1 pound

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To find x pound we divide 240 oz by 16 oz-->

240 oz/ 16 oz = 15 pound

7 0
3 years ago
Is this the right answer correct me if im wrong what is m
REY [17]
I think that is correct !!
5 0
2 years ago
The graph of which of the following equations contains the points (2,3) and (3,2)
Crazy boy [7]

Answer:

y = 5 - x

Step-by-step explanation:

The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.

Slope of the line running through (2, 3) and (3, 2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 3}{3 - 2} = \frac{-1}{1} = -1.

Slope (m) = -1.

The equation, y = 5 - x , is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is y = 5 - x.

5 0
3 years ago
What is 16.004 written in expanded form
professor190 [17]
16.004 = (1 x 10) + (6 x 1) + (0/10) + (0/100) + (4/1000)

Hope this helps ;)
6 0
3 years ago
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