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4 years ago

Write an equation of the circle with center (3, -6) and radius 5.

Mathematics

2 answers:

pav-90 [236]4 years ago

4 0

answer

(x-3)^2 + (y+6)^2 = 25

set up equation

the equation of a circle is (x - centerx)^2 + (y - centery)^2 = r^2

values

from the point (3,6) we know that centerx = 3 and centery = -6

since the radius is 5, r^2 = 5^2 = 25

plug in values

now that we have all the values, we plug them into (x - centerx)^2 + (y - centery)^2 = r^2

(x - centerx)^2 + (y - centery)^2 = r^2

(x - 3)^2 + (y-(-6))^2 = 25

(x-3)^2 + (y+6)^2 = 25

lesya692 [45]4 years ago

3 0

Answer:

formula for a circle: (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius.

1. Plug in center coordinates into formula

(x-3)^2 + (y-(-6))^2 = r^2

2. Plug in radius value

(x-3)^2 + (y-(-6))^2 = 5^2

3. Simplify:

(x-3)^2 + (y+6)^2 = 25

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7 0

2 years ago

SOLVE THIS PLS JSJSXHHX

madam [21]

Step-by-step explanation:

y = ax + b

I see already the result (y = x/10 × 1/6), but let's go in formally.

we have multiple function points to use to officially calculate a and b.

1/6 = a×10 + b

2/3 = a×40 + b

5/6 = a×50 + b

1 2/3 = a×100 + b

let's e.g subtract equation 1 from equation 3.

4/6 = a×40 + 0

a = 4/40 / 6 = 4 / 240 = 1/60

1/6 = 10/60 + b

1/6 = 1/6 + b

b = 0

so, the function is

y = x/60

x = 25

y = 25/60 = 5/12 cups

5 0

3 years ago

Pls help pls helppp i will giving breanlist

GaryK [48]

Answer:

[-5, 4) ∪ (4, ∞)

Step-by-step explanation:

Given functions:

$f(x)=\dfrac{1}{x-3}$

$g(x)=\sqrt{x+5}$

Composite function:

$\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}$

Domain: input values (x-values)

For $(f\:o\:g)(x)$ to be defined:

$x+5\geq 0 \implies x\geq -5$

$\sqrt{x+5}\neq 3 \implies x\neq 4$

Therefore, $-5\leq x < 4$ and $x > 4$

⇒ [-5, 4) ∪ (4, ∞)

3 0

2 years ago

Kendall ate g out of 11 gumdrops. Write an expression that shows how many gumdrops Kendall has left.

liq [111]

Answer:

11-g

Step-by-step explanation:

You would have to subtract the number of gumdrops Kendall ate (g) from the number of gumdrops they had in the beginning (11). So the expression would be 11-g

8 0

3 years ago

Suppose you carry out a significance test of h0: μ = 8 versus ha: μ > 8 based on sample size n = 25 and obtain t = 2. 15. Fin

OLEGan [10]

Using a t-distribution calculator and finding the p-value, the correct option regarding the conclusion is given by:

a) the p-value is 0.02. We reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.

<h3>What is the relation between the p-value and the conclusion?</h3>

It also involves the significance level, as follows.

If the p-value is less than the significance level, we reject the null hypothesis $h_0$ .

If it is more, we do not reject.

In this problem, a t-distribution calculator for a right-tailed with <em>t = 2.15 and 25 - 1 = 24 df</em> is used to find a p-value of 0.02.

It is less than 0.05, hence option a is correct.

More can be learned about p-values at brainly.com/question/26454209

5 0

2 years ago