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Leni [432]
2 years ago
8

Which equation represents a circle whose center is located at (- 6, 2) and whose radius is sqrt(10) units?

Mathematics
1 answer:
azamat2 years ago
7 0

Answer:

{(x  + 6)}^{2}  +  {(y - 2)}^{2}=10

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r, is

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

From the question, the center of the circle is located at (-6,2) and the radius is

r =  \sqrt{10}

We substitute the center and radius to get:

{(x -  - 6)}^{2}  +  {(y - 2)}^{2}  =  {( \sqrt{10} })^{2}

Simplify to obtain:

{(x  + 6)}^{2}  +  {(y - 2)}^{2}=10

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In Algebra you learned that Difference of Perfect Squares is x^2 - 25 = (x+5)(x-5)
nika2105 [10]

Answer:

(x+5i)(x-5i)

Step-by-step explanation:

We use imaginary numbers to solve that. since i = sqare root of -1 so i * i = -1.

6 0
3 years ago
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
Verdich [7]

Answer:

4t

Step-by-step explanation:

Note that teach term has the variable t in it. Also, note that if t is by itself, it actually means 1t. Combine the given constants:

5t + 1t - 2t

= (5t + 1t) - 2t

= (6t) - 2t

= 4t

4t is your answer.

~

3 0
2 years ago
For the function F(x)=1/x+1, whose graph is shown below, what is the relative value of F(x) when the value of x is close to -1.
daser333 [38]
Well as x can never actually be -1 because I'm in the denominator -1 + 1 = 0 and we cannot divide by zero. But we can look at what number it approaches and i assume that is the relative value. sometimes functions will have asymptotes and others will have holes in the graph. this one would have an asymptote going down at a rapid rate. the asymptote would go on forever getting infinitely close to -1 but never touching. So I would say since the asymptote goes down forever that the graph approaches negative infinity
6 0
2 years ago
The question is
PilotLPTM [1.2K]

The unknown side lengths are

Large triangle 10

Medium triangle 2

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Step-by-step explanation:

EFD to ABC is 0.4 or 2/5

EFD to GHI is 0.24 or 6/25

ABC to GHI is 0.6 or 6/10

5 0
3 years ago
In the formula C= prn, p stands for
umka21 [38]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
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