1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
san4es73 [151]
2 years ago
6

Determine the equation of the circle graphed below. (pt 3 of help fast)

Mathematics
1 answer:
dmitriy555 [2]2 years ago
8 0
<h2>Circular Equations</h2>

Circular equations are typically organized in the following format:

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

  • (h,k) is the center of the circle
  • <em>r</em> is the radius

<h2>Solving the Question</h2>

We're given:

  • The center of the circle: (-4,-7)
  • The radius: 2 units

Plug these given values into the formula:

(x-h)^2+(y-k)^2=r^2\\(x-(-4))^2+(y-(-7))^2=2^2\\(x+4)^2+(y+7)^2=2^2\\(x+4)^2+(y+7)^2=4

<h2>Answer</h2>

(x+4)^2+(y+7)^2=4

You might be interested in
A corporate team-building event costs $19plus an additional $1 per attendee. How many attendees can there be, at most, if the bu
Mars2501 [29]

Answer:

There can be at most 12 attendees in a corporate team-building event.

Step-by-step explanation:

Let x denotes number of attendees in a corporate team-building event.

Fixed cost = $19

Cost charged per attendee = $1

Budget for the corporate team-building event = $31

Therefore,

19+1(x)\leq 31\\19+x\leq 31\\x\leq 31-19\\x\leq 12

So, there can be at most 12 attendees in a corporate team-building event.

8 0
3 years ago
Special right triangles.
Oliga [24]

QUESTION 9

The given right angle triangle has its two legs equal to x\:cm and the hypotenuse is 2\:units.


Using the Pythagoras theorem, we have

x^2+x^2=2^2


This implies that;

2x^2=2^2


2x^2=4


x^2=2


x=\sqrt{2}


x=1.414


x\approx1.4\:units


QUESTION 10


The given right angle triangle has its two legs equal to x\:units and the hypotenuse is 7\:units.


Using the Pythagoras theorem, we have

x^2+x^2=7^2


This implies that;

2x^2=7^2


2x^2=49


x^2=24.5


x=\sqrt{24.5}



x=4.95\:units


QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be x\:units, then the other side of the garden is also  x\:units since it was a square backyard.


The diagonal is the hypotenuse which is 40ft and the two legs are  x\:units each.


Applying the Pythagoras Theorem, we have;

x^2+x^2=40^2


2x^2=1600


x^2=800


\Rightarrow x=\sqrt{800}


\Rightarrow x=28.28


The length of one side of the garden is approximately 28cm.


QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.


It was given that the two lengths of the triangular support are of equal length.


Let the two lengths of the triangular support be l\:cm each.


We then apply the Pythagoras theorem to obtain;

l^2+l^2=92^2


\Rightarrow 2l^2=8464


\Rightarrow l^2=4232


\Rightarrow l=\sqrt{4232}


\Rightarrow l=65.05cm


Therefore Nicole needs l+l=65.05cm+65.05cm\approx130cm of wood to complete the support.

The correct answer is A.


QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.


Let the length of the two legs be m\:inches each.

It was given that the hypotenuse of this triangle is 12\:inches.


Applying the Pythagoras Theorem, we have;

m^2+m^2=12^2


\Rightarrow 2m^2=144


\Rightarrow m^2=72


\Rightarrow m=\sqrt{72}


\Rightarrow m=8.49


The length of one leg of the hypotenuse is approximately 8.5 inches to 1 decimal place.


QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.


Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

Let this distance be d\:ft, then using the Pythagoras theorem;

d^2=90^2+90^2


d^2=8100+8100


d^2=16200


\:d=\sqrt{16200}


\:d=127.279


Therefore the distance from home plate to second base is 127 ft to the nearest foot.


QUESTION 15.

The distance from third base to  first base is also 127 ft to the nearest foot.


The reason is that the  diagonals of a square are equal in length.


3 0
3 years ago
Plz help will mark brainliest :)
shepuryov [24]

Answer:

an odd    an even

Step-by-step explanation:

plz mark as brainliest. my first answer

3 0
3 years ago
Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl
icang [17]
Iwould think its Corresponding angles are congruent
Triangle Sum Theorem
<span>Measure of angle AED is 28°


I hope I helped


Brainliest would be appreciated



Have a great day!</span>
3 0
3 years ago
Read 2 more answers
PLEASE HELP VERY CONFUSED ON WHERE THE DOTS ARE.
liq [111]

Answer:

(3,3) ( 1,2) (3,1) (-2,-2) (-2 3)

Step-by-step explanation:

have a good day

4 0
3 years ago
Read 2 more answers
Other questions:
  • Item 20 An online T-shirt store is having a sale. The original price of each T-shirt is p dollars. The store sells 20 T-shirts a
    6·2 answers
  • Coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers co
    6·1 answer
  • (WORTH 20 POINTS ANSWER ASAP)
    9·1 answer
  • A geometry teacher asked Saul to define “obtuse triangle.” Saul said that an obtuse triangle is a triangle with one interior ang
    11·1 answer
  • How can subtracting the equations help you solve the system?
    14·2 answers
  • The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a la
    8·1 answer
  • PLEASE HELP ME ASAP!!<br><br> Answers:<br> undefined<br> Negative <br> Zero <br> Positive
    10·2 answers
  • Is 11.28 rational PLZ HURRY
    10·2 answers
  • Which equation represents the vertex form of the equation y = x² + 2x - 6?
    12·1 answer
  • _/4=12/16Find the answer for the blank space
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!