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3 years ago

Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)?

Mathematics

2 answers:

Zinaida [17]3 years ago

6 0

Answer:

Step-by-step explanation:

for us lazy folks.

melisa1 [442]3 years ago

3 0

Answer:

(x + 2)² + (y - 1)² = 25

Step-by-step explanation:

radius: r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25

r = 5

Circle: (x - h)² + (y - k)² = r²

center: (-2 , 1) h = -2 k = 1

(x + 2)² + (y - 1)² = 25

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Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula? Qu

sergejj [24]

Answer:

The answer in the procedure

Step-by-step explanation:

we have

$2=-x+x^{2} -4$

$x^{2}-x-4-2=0$

$x^{2}-x-6=0$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-x-6=0$

$a=1\\b=-1\\c=-6$

substitute in the formula

$x=\frac{-(-1)(+/-)\sqrt{(-1)^{2}-4(1)(-6)}} {2(1)}$

$x=\frac{1(+/-)\sqrt{25}} {2}$

$x=\frac{1(+/-)5} {2}$

$x=\frac{1(+)5} {2}=3$

$x=\frac{1(-)5} {2}=-2$

8 0

3 years ago

Lee bought a T-Shirt originally priced at $55 that was reduced in price by 40%. What was the reduced price?

geniusboy [140]

Answer:

$33 is the reduced price :)

7 0

3 years ago

I need the answers to 5&6 explain how you found the answer and I'll give brainliest

ch4aika [34]

I found the answer to 5, but I couldn't see the rest of worksheet to solve 6 thoroughly.

Both of these problems can be solved through substitution using the variables that you know equal a number.

For example #5: 5(3)(3)-7(3)+4
45-21= 24, and 24+8=28

That is how you solve number 5 and can also solve 6 the same way using the same method.

5 0

3 years ago

There are 99 males and 121 females participating in a marathon. What percent of the participants are female?

ioda

To do this, we first want to see how many participants there are in total by adding both males and females.

$99+121=220$