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4 years ago

What is the equation of a circle with center (-4,7) and a radius 6

Mathematics

2 answers:

s2008m [1.1K]4 years ago

7 0

Answer:

( x +4)^2 + ( y-7)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

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

where ( h,k) is the center and r is the radius

( x- -4)^2 + ( y-7)^2 = 6^2

( x +4)^2 + ( y-7)^2 = 36

mario62 [17]4 years ago

3 0

Answer:

(x+4)[superscript]2 + (y-7)[superscript]2 = 36

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Determine the function which corresponds to the given graph. (3 points) a natural logarithmic function crossing the x axis at ne

quester [9]

Answer:

$y =log_e(x+3)$

Step-by-step explanation:

It is given that the graph corresponds to a natural logarithmic function.

That means, the function $y$ has a natural log (Log with base $e$ ) of some terms of x.

It is given that asymptote of given curve is at $x= -3$ . i.e. when we put value

$x= -3$ , the function will have a value $y \rightarrow \infty$ .

We know that natural log of 0 is not defined.

So, we can say the following:

$log_e(x+a)$ is not defined at $x= -3$

$\Rightarrow x+a =0\\\Rightarrow x = -a$

i.e. $x =-a$ is the point where $y \rightarrow \infty$

a = 3

Hence, the function becomes:

$y =log_e(x+3)$

Also, given that the graph crosses x axis at x = -2

When we put x = -2 in the function:

$y =log_e(-2+3) = log_e(1) = 0$

And y axis at 1.

Put x = 0, we should get y = 1

$y =log_e(0+3) = log_e(3) \approx 1$

So, the function is: $y =log_e(x+3)$

4 0

4 years ago

Which values for A and B will create infinitely many solutions for this system of equations?

Ksivusya [100]

Answer:

A= 6, B= -15

Step-by-step explanation:

3 0

3 years ago

Your fixed expenses are $1,328.90/month and you saved 4 months' worth in an emergency fund. You place half in a 45-day CD at a 4

love history [14]

You saved 4 months
1,328.9×4
=5,315.6
half in each account
5,315.6÷2
=2,657.8
CD interest
2,657.8×0.045×(45÷365)
=14.75
Saving account
2,657.8×0.032×(45÷365)
=10.49

14.95 + 10.63 = $25.58 total interest earned

Hope it helps

6 0

3 years ago

Read 2 more answers

Are the factors of number also the divisor

Feliz [49]

No factors are for multiplication and divisors are for division i think

8 0

3 years ago

A bakery made 47 muffins that contained nuts and 3 muffins that did not contain nuts. What is the ratio of the number of muffins

gtnhenbr [62]

Answer:

Step-by-step explanation:

47= 3/44, so ratio is 3/44 for non-nuts muffins

Which mean, for every 44 muffins we would have 3 non-nuts muffins.

7 0

3 years ago