Here is an equation for a circle: (x-3)^2 + (y+10)^2 = 81.

Check if these points are on, inside, or outside the circle.

1. (3, -1)
2. (-8, -12)
3. (0, 0)
4. (1, -1/2)

Answers

Answer 1

Answer: 2.

Step-by-step explanation: Write the equation of the circle using h = 2, k = –1, and r = ... (x – 1). 2. + y. 2. = 4 is a circle with center (1, 0) and a radius of 2.


Related Questions

x/3 = 2,how to calculate x?
please help me

Answers

Answer:

[tex]\displaystyle{ \frac{x}{3} = 2}[/tex]

[tex]x = 2 \times 3[/tex]

[tex]x = 6[/tex]

Let's check:-

[tex]\displaystyle{ \frac{x}{3} = 2 }[/tex]

[tex]\displaystyle{ \frac{6}{3} = 2 } [/tex]

[tex] = > 2 = 2[/tex]

There are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them.How many kids own their own instruments?

Answers

Answer:

18 kids

Step-by-step explanation:

because you multiply 0.2 by 90 and it equals 18

(57x2:3)+32x450-[39-(4+2):2[+8=

Answers

Answer:

57×2/3+32×450-[39-4+2]/2+8

57×2/3+32×450-(39-6/2)+8

57×2/3+32×450-36+8

57×2/3+14400-28

57×2/3+14372

38+14372

14410

The sum of two numbers is 16. One number is 2 less than the other. Find the numbers

Answers

Answer:

9+7=16

Step-by-step explanation:

Repost of the last question.. Sorry it wasn't full.

someobe please help me here​

Answers

Answer:

[tex]y < -\frac{4}{5} x+4[/tex]

Step-by-step explanation:

To graph the equation, draw the line [tex]y = -\frac{4}{5} x+4[/tex] and shade in the lower left part of the graph under the line to illustrate the inequality

Then pick two points to test

Hank is painting houses this summer. He can paint 7 houses in 5 weeks. At this rate, how many houses did he paint in 18 weeks?

Answers

[tex]\begin{array}{ccll} houses&weeks\\ \cline{1-2} 7&5\\ x&18 \end{array}\implies \cfrac{7}{x}=\cfrac{5}{18}\implies 126=5x \\\\\\ \cfrac{126}{5}=x\implies 25\frac{1}{5}=x[/tex]

What’s the correct answer for this question?

Answers

Answer:

Absolute change: $1,700

Relative change: 7.6577%

Step-by-step explanation:

Absolute change: $22,200 - $20,500 = $1,700

Relative change: (100 × $1,700) : $22,200 ≈ 7.6577%

What is the surface area?
32 cm
11 cm
15 cm

Answers

Answer:

(rectangular prism) Opposite sides are equal;

Area of bottom base:-

11 x 15 = 165

Above base, (165 x 2) = 330

Area of front:-

15 x 32 = 480

Area of back, (480 x 2) = 960

Area of left side:-

11 x 32 = 352

Area of right side, (352 x 2 ) = 704

Add the sums of all the areas;

330 + 960 + 704 = 1,994 square cm

Madison is buying a laptop for $586. He paid for the laptop
using four $100 bills, fifteen $10 bills and forty-six $1 bills. How
much did Madison pay?

Answers

She paid 596 dollars

Pls help me and thanks rounding

Answers

Answer:

Step-by-step explanation:

1399 rounds to 1400 so A is not the answer

1449 rounds to 1400 so B is not the answer

1589 rounds to 1600 so D is not the answer

The hundreds place is second from the left. Third from the left determines what happens to second from the left. 5 and over round up. Less than 5 just use the first 2 digits left and 2 zeros.

The answer is C

1457 rounds to 1500

1547 rounds to 1500

Tony needs to buy hotdogs and hotdog buns for his cookout

Answers

Answer:

then what happened next so I can answer your questions

Answer:

Do you have any more information on this question so we can answer it for you?

The length of the sides of a polygon are in the ratio of 3: 4: 2: 5. If the perimeter is 84 cm, find the N length of the shortest side​

Answers

Answer:

12 cm

Step-by-step explanation:

First, divide the perimeter by the sum of ratios.

=> 84 / (3 + 4 + 2 + 5)

=> 84 / 14

=> 6

Shortest side

= 2x

= 2(6)

= 12 cm

what are the zeros of f(x)=x^2+2x-80

Answers

Answer:

The zeros are 8 and -10, all u have to do is substitute x for those values, factor it, or graph it.

Step-by-step explanation:

new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed.
a Find the probability that the employee is idle.

Answers

The probability that the employee is idle in the shopping mall based on the information given will be 0.33.

How to calculate probability?

From the information given, it is believed that people will arrive at the desk at a rate of 20 per hour and that it takes an average of 2 minutes to answer a question.

Therefore, the probability that the employee is idle will be:

= 1 - (20/30)

= 1 - 0.67

= 0.33

Therefore, probability that the employee is idle is 0.33.

Learn more about probability on:

https://brainly.com/question/24756209

-7 < 3x + 2 < 5.
Solve for x

Answers

Answer:

-3 < x < 1, This is the domain

please help with this

Answers

Answer:

1. 120[tex]m^{2}[/tex]

2. 192[tex]ft^{2}[/tex]

3. 48[tex]cm^{2}[/tex]

Step-by-step explanation:

First triangle:

1. Find out the height

   [tex]h^{2} +8^{2} =17^{2}[/tex]

   [tex]h^2+64=289[/tex]

         -64     -64

   [tex]h^2=225[/tex]

  h=15

2. Find the area

A=1/2 x 16 x 15

A=120[tex]m^{2}[/tex]

Second triangle:

1. Find out the height

   [tex]h^2+16^{2} =20^{2}[/tex]

   [tex]h^2+256=400[/tex]

         -256   -256

   [tex]h^{2} =144[/tex]

   h=12

2. Find the area

A=1/2 x 32 x 12

A=192[tex]ft^{2}[/tex]

Third triangle:

1. Find out the height

[tex]h^2+6^2=10^{2}[/tex]

[tex]h^2+36=100\\[/tex]

     -36    -36

[tex]h^2=64[/tex]

h=8

2. Find the area

A=1/2 x 12 x 8

A=48[tex]cm^{2}[/tex]

Write and solve a word problem that requires multiplying two mixed numbers.

Answers

Answer:

Jack ate two and a half pieces of a pie. Amy ate one and three fourth pieces of a pie. How much pie did they eat altogether?

Step-by-step explanation:

Jack ate 2 1/2 pie

Amy ate 1 3/4 pie

2 1/2 + 1 3/4 = 4 1/4

They ate four and one-fourth pieces of pie altogether.

ABC is a straight line where BC = 3AB. OA = a, AB = b Express OC in terms of a and b.​

Answers

That would be 3AB because of the expression you have

How many solutions does the nonlinear system of equations graphed below
have?
A. Two
B. Zero
C. One
D. Four

Answers

The solutions of a system of equations is also the intersection of the two lines. In this case the red parabola and the blue linear equation intersects at One point and there fore the answer is C.) One

I hope it helped, if you need more explanation just comment and I will try to explain better!

What is the missing numbers in the synthetic division problem below?

Answers

Answer:

A. 9

Explanation:

2×4=8 and 8+1=9 so that's it.

1. what is the y-intercept of this line?

2. what is the slope of this line?

3. what is the equation for this line?

Answers

Step-by-step explanation:

1. The y-intercept is the value for y when x = 0.

When x = 0, y equals 7.

Represented as:

(0, 7)

2. How to find the Slope?

Find 2 points on the graph then use the slope formula.

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

2 points:

(0, 7)

(2, 3)

Substitute the points into the formula:

[tex] \frac{3}{2} - \frac{7}{0} = m[/tex]

Subtract:

[tex] \frac{ - 4}{2} = m[/tex]

[tex] \frac{ - 4}{2} = m[/tex]Simplify:

[tex] \frac{ - 4 \div 2}{2 \div 2} = - \frac{2}{1} [/tex]

The slope is -2.

Forming an equation:

Use the slope-intercept format.

[tex]y = mx + b[/tex]

m = slope

b = y-intercept

Substitute 7 for b, and -2 for m.

[tex]y = - 2x + 7[/tex]

4
3
С
2
1
In the similarity
transformation of AABC
to ADEF, AABC was dilated by
a scale factor of [?], reflected
across the [ ], and moved
through the translation [ ].
B.
A
-7
-6
-5
-4
-2
-1 0
1
2
3
+
E
D
-2
-3
F
A. 2
B. 1/2
C. 3
D. 1/3

Answers

Answer: A

Step-by-step explanation:

Since DE=4 and AB=2, we know the scale factor of the dilation was 4/2 = 2.

Solve the follow inequality. ∣3x−4∣≥8

Answers

Hello.

Let's solve the absolute value inequality.

In order to do that, let's imagine that |3x-4| is positive.

Since the absolute value of |3x-4| is 3x-4, we write 3x-4 and solve:

[tex]\mathrm{3x-4\geq 8}[/tex]

Now, move -4 to the right, using the opposite operation:

[tex]\mathrm{3x\geq 8+4}[/tex]

Add:

[tex]\mathrm{3x\geq 12}[/tex]

Divide both sides by 3:

[tex]\mathrm{x\geq 4}[/tex]

However, this is only 1 solution.

Let's imagine that |3x-4| is a negative number.

So, the inequality looks like so:

[tex]\mathrm{-3x+4\geq 8}[/tex]

Move 4 to the right:

[tex]\mathrm{-3x\geq 8-4}[/tex]

[tex]\mathrm{-3x\geq 4}[/tex]

Divide both sides by -3:

[tex]\mathrm{x\leq \displaystyle-\frac{4}{3} }[/tex]

Therefore, the solutions are

[tex]\mathrm{x\geq 4}\\\mathrm{x\leq \displaystyle-\frac{4}{3} }[/tex]

[tex]\bigstar[/tex] Note:

If we divide both sides of an inequality by a negative number, we flip the inequality sign.

I hope this helps you.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

X>=4
First step- Add 4 to both sides
Simply-3x>=12
Divide both sides by 3- 3x/3 12/3
X>=4 is final answer

An employee works as a teacher at an online school making $38,900 per year. However, the school is hiring a principal at a salary of $59,500 per year.

The employee went back to school to become a principal.

How much more money could the employee make working as a principal instead of a teacher over 5 years?

Enter your answer in the box

Answers

Answer:

$103,000

Step-by-step explanation:

teacher : 38,900 x 5 = 194,500

principal : 59,500 x 5 = 297,500

$297,500 - $194,500 = $103,000 more

Find the probability of a couple having at least one boy when a couple has three children

Answers

If you have one child you either have a boy or girl can you tell me the chance of having a boy
I am asking this to have an understanding of what you know

Answer:

7/8

Step-by-step explanation:

assuming the probability of getting a boy and girl is 50 50,

(1/2)^3=1/8

1-1/8=7/8

3.
What is the value of the expression below when a = 3 and b = 5?
8a^2– 6b + 10

Answers

Answer:  52

Step-by-step explanation:

We can plug in the values for a and b.

= 8*3^2 - 6*5 + 10

= 72 - 30 + 10

= 42 + 10

= 52

Answer:

52

Step-by-step explanation:

Start by substituting the given values into the expression:

[tex]8a^2-6b+10\\8(3^2)-6(5)+10\\\text{Solve the expression}\\8(9)-30+10\\72-30+10\\42+10\\52[/tex]

Remember Order of Operations:

Parentheses

Exponents

Multiplication/Division (Whichever comes first)
Addition/Subtraction (Whichever comes first)

For any real number c, sqrt c^2 =
A. I
B. ?
C. c
D. 1

Answers

Answer:

option A. |c| is the answer.

because sqrt of any number is always positive. that's why we add the modulas symbol around the interger.

Which equation has the same solution as x^2 - 6x - 14 = 0?

A (x + 3)^2 = 23

B (x - 3)^2 = 23

C(x + 3)^2 = 5

D (x-3)^2 = 5​

Answers

Answer: B

Step-by-step explanation:

[tex]x^{2}-6x-14=(x-3)^{2}-14-9=(x-3)^{2}-23[/tex]

2 When you multiply a a number by 7 and add 8 to the answer, you get 50. What is the number?​

Answers

Answer:6

Step-by-step explanation:

the correct answer would be 6. Step-by-step explanation: when 7 is multiplied by 6 it gives 42 ,then we have to add 8 to the product and it gives 50

evauluate the equation r/15 = (-3)
A. r=45
B. r = 18
C. r = -18
D. r = -45​

Answers

Answer:

The choice D. r= - 45

Step-by-step explanation:

[tex] \frac{r}{15} = ( - 3) \\ \\ r = ( - 3) \times 15 \\ \\ r = - 45[/tex]

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