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ioda
3 years ago
9

What is the equation of the circle with center (16, - 12) and a radius of 5

Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

x^2+y^2-32x+24y+375=0

Step-by-step explanation:

Equation of circle with given centre (h,k) and radius=r is

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

Given centre are=(16, - 12) and radius= 5

So equation of circle=

(x-16)^2+(y- -12)^2=5^2

x^2-32x+256+y^2+24y+144=25

x^2+y^2-32x+24y+375=0

Answer

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Jason and Jill or two students in mr. White's math class. On the last 5 quizzes Jason scored an 80 90 95 85 and 70. Jill scored
Mrac [35]

Jason's scores : 80 90 95 85 70 and

Jill's score : 70 75 90 100 95.

Mean of Jason's scores = \frac{80 + 90 + 95 + 85 + 70}{5}=\frac{420}{5}=84.

Mean of Jill's scores = \frac{70+75+90+100+95}{5}=\frac{430}{5}=86

Now, in order to find the mean absolute deviation, need to find the difference of each score from means.

<u>Mean absolute deviation for Jason's scores.</u>        

|84-80| = 4

|84-90| = 6

|84-95| = 9

|84-85| = 1

|84-70|= 14

\frac{4+6+9+1+14}{5}=\frac{34}{5}=6.8

<u>Mean absolute deviation for Jill's scores</u>

|86-70| = 16

|86-75| = 11

|86-90| = 4

|86-100| = 14

|86-95|= 9

\frac{16+11+4+14+9}{5}=\frac{54}{5}=10.8

Jill got average quiz score 86 and Jason got 84.

Therefore, Jill got better quiz average.

Also, the mean absolute deviation for Jason scores is less that is 6.8 than 10.8.

Therefore, Jason got more consistent grades.

8 0
3 years ago
I need help asap T&gt;T
n200080 [17]

Answer:

3.4 yards cubed

Step-by-step explanation:

Volume is length x width x height

Length 2 4/5, Width 2, Height 3/5 so 2 4/5 x 2 x 3/5

It looks like they want the answer in decimal form, so you can convert the fractions into decimals.

For the length 2 4/5,  you divide the 4 by 5 to get a decimal of .8 so now it's 2.8

For the height of 3/5, you divide the 3/5 & get .6

Now it's 2.8 x 2 x .6 = 3.36 yards cubed which could get rounded up to 3.4 yards cubed

6 0
2 years ago
Anybody know how to do this??
Natali5045456 [20]

Answer:

Second option: x= (23.5)(1.18)

Step-by-step explanation:

It has the total and the 1 for the tip to include the original price.

7 0
3 years ago
Read 2 more answers
Please help me out............................
Alina [70]

Answer:

<h2>b = 15°</h2>

Step-by-step explanation:

If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.

We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:

m∠QPR + m∠PRQ + m∠RQP = 180°

We have

m∠QPR = m∠PRQ and m∠RQP = 60°

Therefore

2(m∠QPR) + 60° = 180°       <em>subtract 60° from both sides</em>

2(m∠QPR) = 120°           <em>divide both sides by 2</em>

m∠QPR = 60° and m∠PRQ = 60°

Therefore ΔPRQ is equaliteral.

ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore

m∠SPR = m∠PRS

In ΔAPS we have:

m∠SPR + m∠PRS + m∠RSP = 180°

2(m∠SPR) + 90° = 180°            <em>subtract 90° from both sides</em>

2(m∠SPR) = 90°             <em>divide both sides by 2</em>

m∠SPR = 45° and m∠PRS = 45°

m∠PRQ = m∠PRS + b

Susbtitute:

60° = 45° + b           <em>subtract 45° from both sides</em>

15° = b

3 0
3 years ago
Name the number property illustrated by this<br>equation:<br>-2(–3 + 7) = -2(-3) + (-2)(7)​
erica [24]

Answer:

The distributive property of multiplication

Step-by-step explanation:

<u>explanation</u>:-

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first can be distributed to both of those numbers and multiplied by each of them separately,then adding the two products together for the same result as multiplying the first number by sum.

a(b+c) = a.b + a.c

so -2 ( -3+7) = -2(-3) + (-2)(7)

   -8  =  6 -14

   -8 = - 8

give data we will use distributive property of multiplication

5 0
3 years ago
Read 2 more answers
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