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
leva [86]
3 years ago
14

A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle? (x − 5)2 + (y +

9)2 = 12 (x − 5)2 + (y + 9)2 = 144 (x + 5)2 + (y − 9)2 = 144 (x + 5)2 + (y − 9)2 = 12
Mathematics
1 answer:
Nady [450]3 years ago
7 0

Answer:

(x-5)^2 + (y+9)^2 = 144

Step-by-step explanation:

The equation of a circle can be written as

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

where (h,k) is the center and r is the radius

(x-5)^2 + (y- -9)^2 = 12^2

(x-5)^2 + (y+9)^2 = 12^2

(x-5)^2 + (y+9)^2 = 144

You might be interested in
Eliseo pays $8.99 for a one-point canister of Georgia pecans. Write and solve a proportion to determine the cost of 4 ounces of
dlinn [17]

Answer:

The cost of 4 ounces of the pecans is <u>$2.24</u>.

Step-by-step explanation:

Given:

Eliseo pays $8.99 for a one-pound canister of Georgia pecans.

Now, to solve a proportion to determine the cost of 4 ounces of the pecans she needs for a particular recipe.

Let the cost of 4 ounces of the pecans be x.

1 pound = 16 ounces.

So, using unitary method we get cost of 1 ounces:

Cost of 16 ounces of the pecans = $8.99.

Cost of 1 ounces of the pecans = $8.99 ÷ 16 = $0.56.

According to question we set proportion:

4:x=1:0.56

So, to get by cross multiplication method:

\frac{4}{x} =\frac{1}{0.56}

<em>By cross multiplying we get:</em>

2.24=x

x=2.24

Thus, the cost of 4 ounces of the pecans is $2.24.

4 0
3 years ago
Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work. 20 Points!!
alexira [117]

|4x + 3| = 9 + 2x

Since the variable is on both sides of the equation, you would, at the end, check for extraneous solutions.

Extraneous solutions are solutions that do not work with the equation, therefore they are "extra" solutions and un-included in your final answer.

Start the problem by splitting the equation into two equations, a positive case and a negative case. Your two equations would look like:

  1. 4x + 3 = 9 + 2x {positive case}
  2. 4x + 3 = -(9 + 2x) {negative case}
<h2><u>---Solving the equations---</u></h2><h3>[POSITIVE CASE]</h3>

Let's solve for the positive case first. Start by subtracting 3 from both sides of the equation.

  • 4x + 3 = 9 + 2x becomes 4x = 6 + 2x

Now subtract 2x from both sides of the equation.

  • 4x = 6 + 2x becomes 2x = 6

Finish off the problem by dividing both sides by 2 to isolate the variable x.

  • 2x = 6 becomes x = 3.
<h2>---</h2><h3>[NEGATIVE CASE]</h3>

Now let's solve for x in the negative case. Start by distributing the negative sign (-) inside the parentheses.

  • 4x + 3 = -(9 + 2x) becomes 4x + 3 = -9 - 2x

Subtract 3 from both sides just like the positive case.

  • 4x + 3 = -9 - 2x becomes 4x = -12 - 2x

Now add 2x to both sides of the equation.

  • 4x = -12 - 2x becomes 6x = -12

Finish off the problem by dividing both sides by 6 to isolate the variable x.

  • 6x = -12 becomes x = -2.
<h2><u>---Checking for extraneous solutions---</u></h2><h3>[CHECKING X = 3]</h3>

To check for extraneous solutions, or solutions that do not work, substitute what you got for x back into the original absolute value equation: |4x + 3| = 9 + 2x. Substitute 3 and -2 into the equation. Let's start by substituting 3 for x.

  • |4x + 3| = 9 + 2x becomes |4(3) + 3| = 9 + 2(3)

Start by multiplying 4 and 3 together inside the absolute value symbols.

  • |4(3) + 3| = 9 + 2(3) becomes |(12) + 3| = 9 + 2(3)

Now multiply 2 and 3 together.

  • |(12) + 3| = 9 + 2(3) becomes |(12) + 3| = 9 + (6)

Add 12 and 3 together inside the absolute value symbols; also add 9 and 6 together.

  • |(12) + 3| = 9 + (6)  becomes |(15)| = (15), which is the same as 15 = 15.

15 = 15 is a true statement so this means that 3 is a solution to the absolute value equation, so it is not an extraneous solution.

<h2>---</h2><h3>[CHECKING X = -2]</h3>

Let's see if -2 is a solution or not - substitute -2 for x into the equation: |4x + 3| = 9 + 2x.

  • |4x + 3| = 9 + 2x becomes |4(-2) + 3| = 9 + 2(-2)

Multiply 4 and -2 inside the absolute value symbols.

  • |4(-2) + 3| = 9 + 2(-2) becomes |(-8) + 3| = 9 + 2(-2)

Multiply 2 and -2.

  • |(-8) + 3| = 9 + 2(-2) becomes |(-8) + 3| = 9 + (-4)

Add -8 and 3 inside the absolute value symbols; also add 9 and -4.

  • |(-8) + 3| = 9 + (-4) becomes |(-5)| = (5), which is the same as 5 = 5.

5 = 5 is a true statement so that means it is not an extraneous solution. After checking for extraneous solutions, we have come to the conclusion that the two answers for the equation --> I4x + 3I = 9 + 2x <-- are <u>x = 3 or x = 2</u>.

8 0
4 years ago
Find the value of x.
alexgriva [62]

Answer:

x = 4\sqrt{2}

Step-by-step explanation:

note the exact value of tan60° = \sqrt{3}

Since the triangle is right use the tangent ratio to find x

tan60° = \frac{opposite}{adjacent} = \frac{4\sqrt{6} }{x}

multiply both sides by x

x × \sqrt{3} = 4\sqrt{6}

divide both sides by \sqrt{3}

x = \frac{4\sqrt{6} }{\sqrt{3} }= 4 × \sqrt{\frac{6}{3} } = 4\sqrt{2}


8 0
4 years ago
Read 2 more answers
Using a deck of 52 playing cards, what are the odds in favor of drawing a Jack or 10?​
andrey2020 [161]
odds against drawing a Jack are 48:4
odds in favor of drawing a Jack are: 4:48
3 0
3 years ago
the sum of twice a number and 18 less than the number is the same difference between -30 and the number. What is the number?
trasher [3.6K]
X - the number

2x+x-18=-30-x \\&#10;3x-18=-30-x \\&#10;3x+x=-30+18 \\&#10;4x=-12 \\&#10;x=\frac{-12}{4} \\&#10;x=-3

The number is -3.
4 0
3 years ago
Other questions:
  • Solve the equation x2 = 5. (the two is an exponent)
    5·1 answer
  • PLS HELP WITH THIS QUESTION GIVING BRAINLIST
    12·1 answer
  • Simplify: √ (50x^7y^6)
    14·1 answer
  • To find the distance from point A on the shore to point B on an island in the lake, surveyors
    8·1 answer
  • Determine slope of line passing through points (1, 5) and (-5, -4)
    9·1 answer
  • If h(x) = -3x - 10, find h(-3).<br> Answer<br> -1<br> 2.3<br> -19<br> 1<br> ...?
    13·1 answer
  • How to determine whether the pair of lines is parallel perpendicular or neither?
    5·1 answer
  • Simplify by dividing negative three over eight ÷ five over nine
    10·1 answer
  • Mrs. Johnson's first test's data: 59, 22, 87, 44, 96, 38, 70, 85, 79. The median is labeled Q2 for the 2nd quartile. What is the
    11·2 answers
  • Pls help me!!!!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!