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3 years ago

The center of a circle is at (-7, -2) and the radius is 7. What is the equation of the circle in standard form?

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

The standard form of an equation of a circle:

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

(h, k) - center

r - radius

We have:

center (-7, -2) → h = -7 and k = -2

radius r = 7.

Substitute:

$(x-(-7))^2+(y-(-2))^2=7^2\\\\(x+7)^2+(y+2)^2=49$

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At the grocery store, your items cost $20.00 and the total after tax

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3 years ago

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PLS SQDANCEFAN. PLEASE SHOW ALL WORK!!! A bag contains 27 coins, all of which are either quarters or dimes. If their total value

Butoxors [25]

Answer:

There are 19 quarters and 8 dimes.

Step-by-step explanation:

We will let x denote the amount of quarters.

Since there are 27 coins in total, (27-x) will be the amount of dimes there are.

Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.

And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).

We know that the total value of all 27 coins is $5.55. So, we can write the following equation:

$0.25x+0.1(27-x)=5.55$

So, we will determine the value of x, the amount of quarters there are.

First, let’s multiply everything by 100 to remove the decimals. So:

$100(0.25x+0.1(27-x))=100(5.55)$

Distribute:

$25x+10(27-x)=555$

Distribute:

$25x+270-10x=555$

Combine like terms:

$15x+270=555$

Subtract 270 from both sides:

$15x=285$

Divide both sides by 15:

$x=19$

So, the value of x is 19.

This means that there are 19 quarters.

So, the amount of dimes must be 27-19 or 8 dimes.

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3 years ago

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Find the median mode range and any outliers. Then describe the data using them 77777,88,555,6,99,10101010,12

umka2103 [35]

Answer:

The median = 5

The mode = 7

Range = 5

Outliers= None

Step-by-step explanation:

The median is the value of the middle term.

The median is that value which divides the data into two equal halves.

7,7,7,7,7,8,8,5,5,5,6,9,9,10,10,10,10,12

There are 18 terms . So the middle term would be 9th term value= 5

The mode is the value which is repeated the most. = 7

Range is the difference between the highest and lowest value.= 12- 7= 5

The interquartile range, IQR= q3 - q1 where q3= 10 and q1= 7

IQR= 10 −7=3

The inner fences can be found out by

q1−(1.5*IQR) and q3+(1.5*IQR)

=7−(1.5*3) and 10+(1.5*3)

Inner fences: 2.5 and 14.5

The outer fences are q1−(3*IQR) and q3+(3*IQR)

=7−(3*3) and 10+(3*3)

Outer fences: -2 and 19

So if there are any outliers in this data set, they will either be less than -2 or greater than 19. But there are no outliers.

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3 years ago

8% of 70 is what number? (please explain)

Bingel [31]

Do a proportion
8/100= x/70
Cross multiply and divide
70 x 8= 560
560 divided by 100= 5.6
Answer is 5.6

You also could have done .08 x 70 which is also 5.6

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3 years ago