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3 years ago

What is the equation of the circle with center (0, 0) that passes through the point (–4, –6)?

Mathematics

1 answer:

Vadim26 [7]3 years ago

4 0

If the center is in point P(a,b) and has a radius r then circle equation is:

(x-a)²+(y-b)²=r².

In your task we've got P(0,0) so the circle equation is x²+y²=r².

We have to find r. Radius start at (0,0) and end at (-4,-6) therefore

r=√((-4)²+(-6)²) and

r²=(-4)²+(-6)²=16+36=52.

So answer is x²+y²=52.

You might be interested in

Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua

Anarel [89]

Connor has 14 quarters and 28 dimes.

Step-by-step explanation:

Given,

Worth of coins = $6.30 = 6.30*100 = 630 cents

We know that,

1 quarter = 25 cents

1 dime = 10 cents

Let,

Quarter = x

Dime = y

According to given statement;

25x+10y=630 Eqn 1

The number of dimes is 14 more than the number of quarters

y = x+14 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490$

Dividing both sides by 35

$\frac{35x}{35}=\frac{490}{35}\\x=14$

Putting x=14 in Eqn 2

$y=14+14\\y=28$

Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

3 years ago

To make ribbon and bow for a hat, Stacey needs 5/6 yard of black ribbon and 2/3 yard of red ribbon. how much total ribbon does s

larisa86 [58]

First make the denominators of the fractions the same by multiplying.

$\frac{2}{3}$ × $\frac{2}{2}$
= $\frac{4}{6}$

Now we just need to add the fractions together

$\frac{5}{6} + \frac{4}{6}$
= $\frac{9}{6}$

9/6 would be the answer, but it can be simplified further, then converted into decimal form.

$\frac{9}{6}$ ÷ $\frac{3}{3}$
= $\frac{3}{2}$
=1.5 yards

Your final answer is 1.5 yards of ribbon are needed.

7 0

3 years ago

Read 2 more answers

Evaluate. Express your answer in exact simplest form.

kumpel [21]

Answer:

6720

Step-by-step explanation:

The writing 8P5 represents the number of permutations of 8 elements taken 5 at a time.

First Method :

8P5 = 8 × 7 × 6 × 5 × 4

= 6720