x2 + y2 + 6x – 4y - 15 = 0
Find the center and radius of the circle

Answers

Answer 1
Radius is square root of square root of 28 and center is (-3,2)

Related Questions

What is distributive property of 7(5b +8)

Answers

Answer:

35b+56

Step-by-step explanation:

First, split the equation.

To do this, take 5b and 8, and make each of those their own little parentheses. Those would both be multiplied by 7.

7(5b) + 7(8)

Multiply out.

35b + 56

Which product is less than 5/8

Answers

Answer: 4/8

Step-by-step explanation:

When 25
218 x+2y-3x+12y+3) is simplified, what is the resulting expression?
1
17 / 3x + 27 3y + 6
Pox+2y+6
10x + 8 - 3y + 6
1
x
4Y+3

Answers

Answer:

[tex]\frac{25}{215x+14y+3}[/tex]

Step-by-step explanation:

When 25 218 x+2y-3x+12y+3) is simplified, what is the resulting expression? 1 17 / 3x + 27 3y + 6 Pox+2y+6 10x + 8 - 3y + 6 1 x 4Y+3.

[tex]\frac{25}{215x+14y+3}[/tex]

Use the distance formula and/or the Pythagorean Theorem to find the area of the triangle.
A) 8.4 square units
B) 20.5 square units
C) 41 square units
D) 60.5 square units

Answers

Answer:

B. 20.5 square units

Step-by-step explanation:

Area of a triangle = 1/2 * Base * Height

For the given triangle, the value for the sides will be the distance between adjacent points on the triangle. Look at the attached file for the explanation of the diagram.

Using the formula for finding the distance between two points to get the base and the height of the triangle.

D = √(x2-x1)²+(y2-y1)²

For side AB where A = (-3, -4) and B(2, 0)

AB = √(2-(-3))²+(0-(-4))²

AB = √5²+4²

AB = √25+16

AB = √41

AB = Height

For side BC where B = (2, 0) and C = (6, -5)

√(x2-x1)²+(y2-y1)²

BC = √6-2)²+(-5-0)²

BC= √4²+(-5)²

BC = √16+25

BC= √41

BC = base of the triangle

Area of the triangle = 1/2 * √41 * √41

Area of the triangle = 1/2 * 41

Area of the triangle =20.5square units

Suppose you have a set of measurements. What additional information would you need to describe the accuracy of the measurements?
A. the precision of the measurements
B. a second set of identical measurements
C. the expected value for the measurements
D. a set of measurements made with a different instrument

Answers

Answer:

D

Step-by-step explanation:

Find the value of x will give brainiest whoever answers first

Answers

Answer:

i think its 80

Answer:

80⁰

Step-by-step explanation:

x = sum of alternate angles

x = 50 + 30

x = 80⁰

question 8, 10 and 11 pleaseeeeeeeeeeee

Answers

Answer:

8 c ,10 b ,11 d

Step-by-step explanation:

A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls, with replacement, from the bucket shown. What is the probability that the first tennis ball is yellow, the second tennis ball is green, and the third tennis ball is red

Answers

Answer:

i cant see the answers but i did the math is 60/156 there

Step-by-step explanation:

b) Write 25 x 10^6 in standard form.

Answers

Answer:

25,000,000

Step-by-step explanation:

Hope this helps!!!

Fatima surveyed a random sample of 80 students in her school about their
favorite type of pet. Of the students surveyed, 20 chose cats as their favorite
type of pet. If there are 597 total students at the school, what would be a valid
estimate for the number of students whose favorite type of pet is a cat?

Answers

Answer: 149

Step-by-step explanation:

out of 80 students, 20 said that they prefers cats, then the relative frequency is:

p =20/80 = 0.25

then, out of the 597 students a estimate of:

N = 0.25*597 = 149.25 like cats

We should round it down so we have a whole number, then we have a estimate of 149 students.

Answer152

Step-by-step explanation:

if u divide the 2 u will get 157

7 of 8
Here is a list of numbers:
3.8, 9.8, 10, 0.7, 0.3, 4.1,7.6,2.9,1.1,9.9
State the median.

Answers

Answer:

Your median is 4.1.

Step-by-step explanation:

What is the median

The median is a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.

Median formulas

This calculator uses two different formulas for calculating the median, depending on whether the number of observations is odd, or it is even when the number of observations is odd the formula.

Answer:

3.95

Step-by-step explanation:

Order the numbers from least to greatest:

0.3, 0.7, 1.1, 2.9, 3.8, 4.1, 7.6, 9.8, 9.9, 10

Find the numbers in the middle:

3.8, 4.1

Find the mean of these two numbers:

(3.8+4.1)/2

3.95

The organizers of a crossword competition stated the rules for how many participants would win prizes. The rules sald one of every three would
win a prize.
Which ratlo is equivalent to the ratio in this situation?
A.
10/5
B.
5/15
C.
12/3
D.
2/8

Answers

Answer: B

Step-by-step explanation: What is equivilent to 1/3? 1/3 * 5/5 = 5/15

What is the distance between points A and B?
-6 units
- 1 units
5 units
6 units

Answers

It would be helpful if you put a picture but I think it’s 5 units

Sorry if I’m wrong

The correct option is Option D: The distance between A and B is 6 units.

What is a number line?

The number line infinitely extended straight line where the integers are pointed by the distance of 1 unit.

What is the distance between two points on the number line?

The distance between two points x and y on the number line will be = y-x

Here given in the question, A and B are two points given in the number line.

A has a position on -5.

and B has the position on 1.

We have to calculate the distance between these two points using the above formula

The distance between A and B is = B-A = 1-(-5)= 1 + 5= 6 units

Therefore the correct option is Option D: The distance between A and B is 6 units.

Learn more about the number line

here: https://brainly.com/question/24644930

#SPJ2

Here the question was incomplete. Below you will find the missing content/ graph/ options.

What is the distance between points A and B?

What is the distance between points A and B?-6 units

What is the distance between points A and B?-6 units- 1 unit

What is the distance between points A and B?-6 units- 1 unit5 units

What is the distance between points A and B?-6 units- 1 unit5 units6 units

What is the distance between points A and B?-6 units- 1 unit5 units6 unitsThe missing picture is attached below.

Becky's mother works in an office, and her father works in a hospital. They both walk to work from home every day. Each unit on the graph is equal
to 1 block
Becky's mother walks
to reach her office, which is
farther than Becky's father walks to reach the hospital,

Answers

Answer:

I think she walks 14 blocks to get to her office and 4 blocks to reach the hospital. I had this question too and i figured it out

Step-by-step explanation:

hope this helped :3 have a nice day!! :) :)

Answer:

14 block , 4 block

Step-by-step explanation:

i have to find the slope

Answers

Answer:

m=-6

Step-by-step explanation:

slope formula:

m=(y2-y1)/(x2-x1)

m= (-16--10)/(2-1)

m=(-6)/(1)

m=-6

Which fraction is equivalent to
-3/2

Answers

Answer:

Examples are below

Step-by-step explanation:

-6/4, -9/6, -15/10, -18,12, and -24/16

Answer:

12/8

Step-by-step explanation:

one of the numbers wasn't taken so. Yeah.

Can someone please please help

Answers

Answer:No

Step-by-step explanation:The side lengths do not make a right triangle, so it can't be tangent.

find the value of x​

Answers

Answer:

Step-by-step explanation:

16

the answer is 16 :).

Simplify the expression.
[tex]\sqrt[1]{10}[/tex]

Answers

The answer would just be 10 :)

Jacob is a registered nurse. He earns $68,000 per year. He must pay a $30 in taxes every $100 he earns. How much is Jacob's net income?

Answers

Answer:

$47,600

Step-by-step explanation:

Net income = total revenue - total expenses

NI= 68000 - (30)(680)

NI=68000-20400

NI=47600

A circular swimming pool is 21 feet in diameter. What is the circumference
of the swimming pool? *

Answers

Answer:

66 feet

Step-by-step explanation:

diameter = 21 feet

circumference of circle = 2πr or πd

circumference of swimming pool = 22/7 * 21

                                                       = 22 * 3

                                                       = 66 feet

Hope this year is useful!!

A school club had a T-shirt sale to raise money. After the sale, an inventory showed that 108 blue T-shirts and 96 green T-shirts had been sold. The sizes of these T-shirts included 60 small, 86 medium, and 58 large. Which table correctly represents the data? *
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

a table must have 108 blue shirts in total and 96 green shirts

first you add them to find out if the blue shirts have 108

you also need to make sure if green has 96 shirts too

i hope this was helpful

Please tell me the answer.

Answers

Answer:

-The measure of [tex]\angle A[/tex] :

[tex]\angle A = 144\textdegree[/tex]

-The measure of [tex]\angle B[/tex] (if needed):

[tex]\angle B = 144\textdegree[/tex]

Step-by-step explanation:

-Set the measure of [tex]\angle A[/tex] on one side and set the measure of [tex]\angle B[/tex] on the other side and it will be written as:

[tex]10x + 24 = 6x + 72[/tex]

-Then, solve for [tex]x[/tex] :

[tex]10x + 24 = 6x + 72[/tex]

[tex]10x + 24 - 6x = 6x - 6x + 72[/tex]

[tex]4x + 24 = 72[/tex]

[tex]4x + 24 - 24 = 72 - 24[/tex]

[tex]4x = 48[/tex]

[tex]\frac{4x}{4} = \frac{48}{4}[/tex]

[tex]x = 12[/tex]

-After you have found the value of [tex]x[/tex], plug in both the measure of [tex]\angle A[/tex] and [tex]\angle B[/tex] in order to get the actual angle measurement of [tex]\angle A[/tex] and [tex]\angle B[/tex] :

Finding the measure of [tex]\angle A[/tex] :

[tex]\angle A = 10(12) + 24[/tex]

[tex]\angle A = 120 + 24[/tex]

[tex]\angle A = 144\textdegree[/tex]

Finding the measure of [tex]\angle B[/tex] :

[tex]\angle B = 6(12) + 72[/tex]

[tex]\angle B = 72 + 72[/tex]

[tex]\angle B = 144\textdegree[/tex]

-Notice: That reason why both [tex]\angle A[/tex] and [tex]\angle B[/tex] have the same measurements, its because they are Alternate Exterior Angles, based on the diagram shown.

Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2 ft above the ground will necessitate an angle of elevation less than to just clear the center-field fence.

Answers

Answer: According to me, it is :

A height of 2 feet above the ground and angle of elevation of 86 degrees. 

Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:

180 - (90+86) = 4 degrees

The distance from the home plate to the centerfield is

2/sin 4 = x / sin 86

solve for x

x = 28.60 feet....

HOPE IT HELPS YOU

HAVE A GOOD DAY ☺️❤️

If you want give me brainliest..

The height of the center field fence require that a ball hit 2 ft is equal to 28.60 feets

The sine is the ratio between the opposite side and the hypotenuse of a right triangle, that is, it is a trigonometric ratio. It is worth remembering that ratio or trigonometric relation is the study of the angles of a right triangle.

How to calculate sine?

It is the ratio of the opposite side to the hypotenuse, that is:

[tex]Sen \theta = opposite \ side/hypotenuse[/tex]

Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:

[tex]180 - (90+86) = 4 degrees\\2/sin (4) = x / sin (86)\\x = 28.60 feet[/tex]

See more about sine at brainly.com/question/3554369

Find the surface area of a sphere with radius 5cm. Round your answer to the nearest tenth.

Answers

The surface area is 314.2

The formula of the sphere to find surface area is A = 4•3.14•r^2 , substitute 5 for r, then multiply 5^2, after you get that product then multiply it by 3.14/pi. Once you get that product, multiply that by 4 and you get the final product. Then round to the nearest tenth, which is how you get 314.2

The volume of the following figure is 240in² Which of the following is the missing side length?

Answers

Answer:

8 in

Step-by-step explanation:

The formula to find the volume of a rectangular prism is l · w · h.

l = ?

w =  6 in

h = 5 in

We know the volume of the following figure is equal to 240 and so we can set up an equation where we solve for l (length).

l · 6 · 5 = 240

To get l by itself, you divide 240 by 6 and then by 5 to get your answer.

l = 8

We can check our work here by multiplying 8 · 6 · 5 which gives us the correct 240.

How many boxes of fish can fit in the shipping box? Explain your answer, will give brainlest!

Answers

Answer:

2340 boxes

Step-by-step explanation:

to find out how many boxes or cans fit there u need to know the volume of the box and the cans or boxes

v= l*w*h

v= volume

l=length

w=width

h=height

first lets find the volume of one can or box of fish food

the length, the width, and the height are the same which is 1/4, so cube 1/4 or 1/4*1/4*1/4

1/4*1/4*1/4= 1/16 *1/4= 1/64

Now u have to find the volume of the shipping box, so the length is 3 3/4, the width is 3, and the height is 3 1/4

3 3/4*3*3 1/4= 15/4*3/1*13/4

15/4*3/1*13/4= 45/4*13/4 = 585/16

now divided the volume of shipping box by the volume of fish food boxes

585/16 divided by 1/64 and now u do the KFC or the keep flip change

u keep the 585/16 and then flip the sign to multiplication and then change the last number to 64/1

585/16 times 64/1= 37440/16 or 2340

If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?

Answers

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that  c = [tex]\sqrt{{a}^2 + b^{2} }[/tex], where c is the hypotenuse and a and b are the legs of the triangle.

So, from the problem,  if c = 17 and a = 15, then, we're solving for b. So we'll rewrite the theorem to solve for b.

[tex]{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}[/tex]

Okay, so now we have isolated the theorem for b. Let's plug in our values for c and a.

[tex]b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8[/tex]

So, using the theorem, we found b = 8. To check our work, let's plug in b and a and solve for c.

[tex]c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\[/tex]

So, we got our hypotenuse to equal 17 units, which is correct! So, our b is correct too. Awesome

the question and answers are below

Answers

Answer:

Option J; 64π square cm

Step-by-step explanation:

See attachment below;

Please help if you can
Thank you in advance:)

Answers

Answer:

Step-by-step explanation:

The diameter of the circle is the distance from the endpoint to another endpoint. The diameter of the given circle is segment PQ. To determine the diameter of the circle, we would apply the formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Therefore,

Diameter = √(1 - - 3)² + (9 - 5)²

Diameter = √4² + 4² = √32

Radius = diameter/2 = √32/2

A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.

The center of the circle is determined by applying the midpoint formula

(x1 + x2)/2, (y1 + y2)/2

= (- 3 + 1)/2, (5 + 9)/2

Center = (- 1, 7)

The formula for determining the equation of a circle us expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = - 1 and k = 7

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - - 1)² + (y - 7)² = (√32/2)²

(x + 1)² + (y - 7)² = 32/4

(x + 1)² + (y - 7)² = 8

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