All categories

3 years ago

X2 + y2 – 4x + 10y + 4 = 0. find the center and radius of a circle

Mathematics

1 answer:

alekssr [168]3 years ago

8 0

Answer:

the center is : (2 , - 5) and radius 5

Step-by-step explanation:

hello :

x² + y² – 4x + 10y + 4 = 0

(x²-4x)+(y²+10y)+4 =0

Completing The Square :

(x²-4x+4)-4+(y²+10y+25)-25+4 =0

(x-2)²+(y+5)²= 5² .....standard form

the center is : (2 , - 5) and radius 5

You might be interested in

What is 3x+8=14 in algebra tiles

kipiarov [429]

Answer: Not really sure what you mean by algebra tiles but I do know that x=2.

8 0

2 years ago

Read 2 more answers

Convert 3/18 to a decimal

frutty [35]

3/18 = 0.166667

hope this helps .

3 0

3 years ago

Read 2 more answers

(x-6)(x+ 3) = A. X^2 - 18 B. X^2 - 3x - 18 C. X^2 + 3x -18 D. X2 + 9x - 18

nlexa [21]

Answer:

x^2 - 3x - 18

Step-by-step explanation:

Just follow in terms of FOIL

First, outer, inner, last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.

4 0

3 years ago

Read 2 more answers

A library receives 413 boxes of books and 125 boxes of magazines. There are 18 books in each box of books. How many total books

HACTEHA [7]

Answer: 7434 books

Step-by-step explanation:

413 x 18= 7434

3 0

2 years ago

Read 2 more answers

If $10,500 is deposited in a compound interest account paying 2.99% interest annually, how much will be in the account after 5 y

algol [13]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10500\\ r=rate\to 2.99\%\to \frac{2.99}{100}\dotfill &0.0299\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=10500\left(1+\frac{0.0299}{1}\right)^{1\cdot 5}\implies A=10500(1.0299)^5\implies A\approx 12166.47$

5 0

3 years ago