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2 years ago

Beg someone helps me w this question

Mathematics

1 answer:

Alex Ar [27]2 years ago

3 0

Answer:

$(x+1)^{2} +4$

a = 1

b = 4

Step-by-step explanation:

hope this helps!! p.s. i really need brainliest :)

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Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin

Elanso [62]

Answer:

The equation of circle is $x^2+y^2=65$ .

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula the radius of circle is

$r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}$

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$ .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and $r=\sqrt{65}$ in equation (1).

$(x-0)^2+(y-0)^2=(\sqrt{65})^2$

$x^2+y^2=65$

Therefore the equation of circle is $x^2+y^2=65$ .

5 0

3 years ago

One number is 4 times as large another. The sum of their reciprocals is 45/4. Find the two numbers

Reptile [31]

Let,
the numbers be "x" and "y"
According to the question,
x = 4y ......................................................equation (1)

$\frac{1}{x} + \frac{1}{y}= \frac{45}{4}$ ...................................equation (2)

Taking equation (2)
$\frac{1}{x} + \frac{1}{y}= \frac{45}{4}$

Substituting the value of "x" from equation (1), we get,

$\frac{1}{(4y)} + \frac{1}{y}= \frac{45}{4}$

$\frac{1}{4y} + \frac{1}{y}* \frac{4}{4} = \frac{45}{4}$

$\frac{1}{4y} + \frac{4}{4y}= \frac{45}{4}$

$\frac{1+4}{4y} = \frac{45}{4}$

$\frac{5}{4y} = \frac{45}{4}$

Cross multiplying, we get,

$5*4 = 45*4y$

$20 = 180y$
<u />
$\frac{20}{180} = y$

$\frac{1}{9} = y$

$y = \frac{1}{9}$

Now,
Taking equation (1)
x = 4y
Substituting the value of "y", we get

$x = 4( \frac{1}{9} )$

$x= \frac{4}{9}$

So, the numbers are $\frac{1}{9}$ and $\frac{4}{9}$

7 0

3 years ago

Read 2 more answers

Find the sale pice is the original price is $82 and discount is 10%

Tpy6a [65]

First you should find the discount so you can say:
10/100 = ?/82
so ? is your discount and ? is equal to:
? = 82*10/100 = 8.2
so your discount is $8.2 and your sale price will be:
$82 - $8.2 = $73.8 :)))
I hope this is helpful
have a nice day

7 0

3 years ago

Write a sentence containing a gerund which functions as the subject of the verb.

Mamont248 [21]

Answer:

Swimming can improve your health.

Step-by-step explanation:

Gerunds are nouns which derive from verbs and take the -ing form. In the sentence, the noun swimming functions as the subject of the verb can.

Gerunds are usually used as subjects of sentences, after certain verbs (such as enjoy and look forward to) and after prepositions.

3 0

2 years ago

Help........................

GaryK [48]

Answer:

Step-by-step explanation:

6 0

2 years ago