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Dima020 [189]
3 years ago
14

What is the equation of a circle with center (1,-4) and radius 2?

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Step-by-step explanation:

Centre of circle(h,k)=(1,-4)

radius of the circle(r)=2

Equation of the circle is,

(x-h)^2+(y-k)^2=r^2

(x-1)^2+(y+4)^2=2^2

x^2-2x+1+y^2+8y+16=4

x^2+y^2-2x+8y+13=0 is the req.equation of the circle.

Give brainliest

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FinnZ [79.3K]

He can buy 5 of the $3 nut and 1 of the $5 nuts.

5x3=15

5x1=5

15+5=20 and that’s less than 24.

So Jim can use $20 to buy the $3 one 5 times and the $5 one 1 time.

4 0
3 years ago
If a triangle has at least two congruent sides, it is an isosceles triangle. An equilateral triangle has three congruent sides.
Bingel [31]
B. An equilateral is an isosceles triangle
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Laura sends an average of 27 text messages per month to each of f friends. Her cell phone provider charges her a flat rate of $3
svlad2 [7]

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8 0
3 years ago
The first blanks options are -2 , -1/2 , 2 , 1/2
Pie

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

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y = x-3

To get the solution to both systems, we equate the y

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-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

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The answer is B) 25.
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