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juin [17]
3 years ago
5

Find two numbers the quotient is between 53÷3

Mathematics
1 answer:
nlexa [21]3 years ago
5 0
53/3
we can't divide this term perfectly because 53 is not 3's double number.
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The equation of a circle in general form is ​x2+y2+20x+12y+15=0​ .
Harlamova29_29 [7]

Answer:

(x +10)^2 + (y+6)^2 = 121

Step-by-step explanation:

Given equation :

                        x^2 + y^2 + 20x +12y + 15 = 0

Standard equation of circle :

                                            (x - a)^2 + (y-b)^2 = r^2

We will consider the x terms in the equation first to find a.

(x-a)^2 = x^2 - 2ax + a^2

-2ax = 20x

a = -20x/2x = -10

a = -10

Next consider the y terms to find b.

(y - b)^2 = y^2 -2by + b^2

-2by = 12y

b = -12y /2y = -6

b = -6

(x+10)^2 + (y-6)^2 = x^2 +20x +100 + y^2 +12y + 36

                             =x^2 + y^2 + 20x +12y + 136\\

But the given equation constant is 15. So find the difference between 136 and 15 to find the radius : 136 - 15 = 121

Therefore, radius = √121 = 11

<em><u>Equation in standard form : </u></em>

                                         (x +10)^2 + (y+6)^2 = 121

5 0
3 years ago
Stan drives 30 minutes a day commuting to and from work. He drove h hours this week. How many days did he work?​
Maksim231197 [3]

Stan worked 2h days this week

Step-by-step explanation:

The given is:

  • Stan drives 30 minutes a day commuting to and from work
  • He drove h hours this week

We need to find how many days he worked

∵ Stan drives 30 minutes a day

∵ 1 hour = 60 minute

∴ 30 minutes = \frac{30}{30}=\frac{1}{2} hour

∴ Stan drives \frac{1}{2} hour a day

∵ He drove h hours this week

- To find the number of days that he worked divide the total

   hours he drove in this week by the hour he drives in a day

∴ The number of days = h ÷ \frac{1}{2}

- Change the division sign to multiplication sign and reciprocal the

   fraction after the division sign

∵ The reciprocal of \frac{1}{2} = \frac{2}{1} = 2

∴ The number of days = h × 2

∴ The number of days = 2h

Stan worked 2h days this week

Learn more:

You can learn more about word problems in brainly.com/question/2977815

#LearnwithBrainly

6 0
3 years ago
One evening, a restaurant served a total of 5/6 of a loaf of wheat bread and 3/10 of a loaf of white bread. How many loaves were
RideAnS [48]

Answer:

1 2/15 loaves

Step-by-step explanation:

In a restaurant:

Total Loaf of wheat bread = 5/6

Total Loaf is white bread = 3/10

The total number of loaves that were served in all =

Loaf of wheat bread + Loaf of white bread

= 5/6 + 3/10

Lowest Common Denominator = 30.

Hence:

= 25 + 9/30

= 34/30

= 1 4/30

= 1 2/15 loaves

The total number of loaves served in all = 1 2/15 loaves

4 0
3 years ago
What is the equation of the line that passes through the point<br> (6,7) and has a slope of o?
QveST [7]

Answer:

y= 7

Step-by-step explanation:

Plug in values into y=mx+b

m= slope

b= y intercept

Since slope is 0, y will always be at 7.

y= 0(x) +7

y= 7

6 0
2 years ago
you want to draw an enlargement of a design that is printed on a card that is 4in by 5in. you will be drawing this design on an
IRINA_888 [86]
The answer is 1-3/5 in. by 10-5/8 in.
4 0
3 years ago
Read 2 more answers
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