What is the value of b for the following circle in general form?

Mathematics

2 answers:

Alinara [238K]3 years ago

7 0

Answer:

the answer is indeed 4

Step-by-step explanation:

AlekseyPX3 years ago

5 0

The equation of a circle:

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

(h, k) - center

r - radius

Look at the picture. We have

center: (1, -2) → h = 1, k = -2

radius: r = 3

Substitute:

$(x-1)^2+(y-(-2))^2=3^2\\\\(x-1)^2+(y+2)^2=9\ \ \ |\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\x^2-2(x)(1)+1^2+y^2+2(y)(2)+2^2=9\\\\x^2-2x+1+y^2+4y+4=9\ \ \ |\text{use commutative property}\\\\x^2+y^2-2x+4y+5=9\ \ \ \ |-9\\\\x^2+y^2-2x+4y-4=0\\\\Answer:\ a=-2,\ b=4,\ c=-4$

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Nataly [62]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

On a snow day, Jada created two snowmen in her yard. Snowman A was built to a height of 51 inches and Snowman B was built to a h

MaRussiya [10]

From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

The initial height is the intercept.

The melting rate, as a negative, is the slope.

Hence the functions are given as follows:

A(t) = 51 - 6t.

B(t) = 36 - 3t.

The functions are graphed at the end of the answer, with <u>A(t) in red and B(t) in blue,</u> and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.

More can be learned about linear functions at brainly.com/question/24808124

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