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2 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]2 years ago

6 0

Answer:

Step-by-step explanation:

for us lazy folks.

melisa1 [442]2 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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3 years ago

Find the value of k by<br>quardractic equation two real and equal roots<br>5x - 2kx +20=0

kotegsom [21]

Answer:

k = +10 or -10

Step-by-step explanation:

It's given in the question that the roots of the eqn. are real and equal. So , the discriminant of the eqn. should be equal to 0.

$= > {b}^{2} - 4ac = 0$

$= > {( - 2k)}^{2} - 4 \times 5 \times 20 = 0$

$= > 4 {k}^{2} - 400 = 0$

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$= > k = \sqrt{100} = + 10 \: or \: - 10$

3 0

2 years ago

Read 2 more answers

Tickets for seniors prom cost $25 for individual tickets and $40 for couples tickets. They collected a total of 2500 from ticket

quester [9]

Answer: 20

Step-by-step explanation:

Given

The cost of an individual ticket is $25

The cost of a couple's ticket is $40

The total sale is $2500

total ticket sold is 70

Suppose there are x individuals and y couples

$\therefore x+y=70\quad \ldots(i)\\\\25x+40y=2500\quad \ldots(ii)\\\text{Solving }(i)\ \text{and}\ (ii)\ \text{we get}$

$x=20,y=50$

So, they sold 20 tickets of the individual.

8 0

3 years ago