What is the center of the circle with the equation (x+4)2 + (y - 2)2 = 16?

Answers

Answer 1

Answer:

The center of the circle is

( - 4 , 2)

Step-by-step explanation:

Equation of a circle is given by

(x - h)² + ( y - k)² = r²

where r is the radius

(h, k) is the center of the circle

The center of a circle is given by

( - h , - k)

From the question equation of the circle is

( x + 4)² + ( y - 2)² = 16

Comparing with the general equation above

( h , k) = ( 4 , - 2)

The center of the circle is

( - h , - k) = ( - 4 , -(-2))

We have the final answer as

( - 4 , 2)

Hope this helps you


Related Questions


Does The TI-Nspire works just like the TI-84 ?

Answers

Answer:

TI-Nspire models automatically detect most points of interest such as x and y-intercepts, maximum values, and minimum values when you are in trace mode. TI-84 Plus models require you to use a series of left and right bounds and guesses to find those same values.

I need this answer ASAP pls someone help ASAP work shown

Worth 10 pts

Answers

Answer:

5c² + 4c - 4

Step-by-step explanation:

Subtract the shaded area from the area of the outer rectangle, that is

(2c + 3)(3c - 2) - (c + 2)(c - 1) ← expand both pairs of factors using FOIL

= 6c² + 5c - 6 - (c² + c - 2) ← distribute parenthesis by - 1

= 6c² + 5c - 6 - c² - c + 2 ← collect like terms

= 5c² + 4c - 4

what the answer???

11x10-12/3

Answers

Answer: 106

Explanation:

11 x 10 - 12/3
= 110 - 4
= 106

Answer:

106

Step-by-step explanation:

12 divided by three subtracted by 11 Multiplied by 10

11 times 10 is 110

12 divided by 3 is 4

110-4= 106

Your answer to 11 x 10 - 12/3=106

what is .7 of a mile

Answers

Answer:

1232 yards or 3696 feet or 44352 inches or 0.7 of a mile

Step-by-step explanation:

Answer it answer it answer it.

Answers

Answer:

Option C. P = 3/q

Step-by-step explanation:

To know the the correct answer to the question, do the following:

Let us assume a certain number for P say 2 and 3, and then, find the corresponding value for q in each case to see which will give a decreased value for q.

Option A

When P = 2, q =.?

P = 3q

2 = 3q

Divide both side by 3

q = 2/3

When P = 3, q =.?

P = 3q

3 = 3q

Divide both side 3

q = 3/3

q = 1

From the above illustration, we can see that as P increase, q also increase.

Option B

When P = 2, q =.?

P – 3 = q

2 – 3 = q

q = – 1

When P = 3, q =.?

P – 3 = q

3 – 3 = q

q = 0

From the above illustration, we can see that as P increase, q also increase.

Option C

When P = 2, q =.?

P = 3/q

2 = 3/q

Cross multiply

2 × q = 3

Divide both side by 2

q = 3/2

q = 1.5

When P = 3, q =.?

P = 3/q

3 = 3/q

Cross multiply

3 × q = 3

Divide both side by 3

q = 3/3

q = 1

From the above illustration, we can see that as P increase, q decreases.

Option D.

When P = 2, q =.?

1/p = 3/q

1/2 = 3/q

Cross multiply

1 × q = 2 × 3

q = 6

When P = 3, q =.?

1/p = 3/q

1/3 = 3/q

Cross multiply

1 × q = 3 × 3

q = 9

From the above illustration, we can see that as P increase, q also increase.

Now, haven done the above, only option C gives a decreased value for q as the value of P increases.

c  

this before

Step-by-step explanation:

Which two complex numbers when subtracted from each other equal another complex number from the table? A -3 − 4i B -7 − 6i C 13 + i D -9 + 6i E 8 − 8i F -15 + 9i G 2 + 12i H 6 − 10i

Answers

Answer:

if you have a ti-84 plus, input ur problem into the calculator

Step-by-step explanation: you may use calculator for answers

Answer:

The difference of A and D equals the complex number in row H in the table (6 − 10i):

A − D

=

-3 − 4i − (-9 + 6i)

=

-3 − 4i + 9 − 6i

=

-3 + 9 − 4i − 6i

=

(-3 + 9) + (-4 − 6)i

=  6 − 10i

Step-by-step explanation:

Find the LCM of
[tex]14 {a}^{3} {b}^{2} [/tex]
and
[tex]20 {a}^{4} {b}^{2} [/tex]

Answers

Answer:

Hi,

I hope you are searching for this answer.

The lcm of an expression is calculated by taking the common factor and multiply the common factor with the remaining one, alright.

or, simply the lcm of an expression is calculated by the product of common factors and the factors which are not common.

Hope it helps...

The scale for a drawing is 1 centimeter to 5 meters. If the actual object is 35 meters, the drawing is _____ centimeters long.
A. 30
B. 17
C. 7
D. 40

Answers

Answer:

its c.7

Step-by-step explanation:

I took the quiz

Answer:

c. 7

Step-by-step explanation:

i had this quiz also

Which of the following is most likely the next step in the series?
A.
B.
C.
D.

Answers

Answer:

C

Step-by-step explanation:

The amount of sides on the shape are increasing, like 4, 5, 6, so the best answer should be 7 sides for the next shape, however there is no shape that is 7, so C which has 8 sides is the next best answer.

Most likely the next step in the series is hectogon. Therefore, option A is the correct answer.

What is the pattern?

A pattern in mathematics is an arrangement of numbers, shapes, colours and other elements that repeat. This arrangement can be related to any event or object. When a group of numbers is organised in a certain way, it is referred to as a pattern. Patterns can also be referred to as a series.

The given series has square, pentagon and hexagon.

We know that, square has 4 sides, pentagon has 5 sides and hexagon has 6 sides.

So, the next figure in the series must have 7 sides.

Thus, 7 sided figure is called has hectogon and septagon.

Therefore, option A is the correct answer.

Learn more about the pattern here:

https://brainly.com/question/23136125.

#SPJ5

Caculate the value of x on the figure below

Answers

Answer:

x = 58

Step-by-step explanation:

The angle at the centre is twice the angle at the circumference subtended by the same arc, thus

x + 62 = 2(x + 2)

x + 62 = 2x + 4 ( subtract x from both sides )

62 = x + 4 ( subtract 4 from both sides )

58 = x

a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres​

Answers

Answer:

7 m

Step-by-step explanation:

Use the pythagorean theorem.

a^2+b^2=c^2

7.5 is your hypotenuse and 3 is one of your legs.

7.5^2 - 3^2 = 47.25

the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.

solve this equation -2x+9=-5x-15

Answers

Answer:

x = -8

I hope this helps!

The answer would be x=-8

Write each number in standard notation.


1.057 x 10^3

5.24 x 10^5

3 x 10^8

Answers

Answer:

1,057.

524,000.

300,000,000

solve the equation: sin(2x)= sin x

Answers

Answer:

Below

Step-by-step explanation:

sin(2x) = 2 ×cos(x)× sin(x)

● sin(x) = 2 × cos(x) × sin(x)

● 2 × cos(x) = 1

● cos (x) = 1/2

So we can deduce that:

● x = Pi/3 + 2*k*Pi

● or x = -Pi/3 + 2*k*Pi

K is an integer

The Solution of x:

x = π/3 + 2πn, where n is an integer.

x = 2π/3 + 2πn, where n is an integer.

In degrees:

x = 60° + 360°n, where n is an integer.

x = 120° + 360°n, where n is an integer.

To solve the equation sin(2x) = sin(x), we can use the properties of trigonometric functions.

First, let's simplify the equation using the double angle identity for sine:

sin(2x) = 2sin(x)cos(x).

Now we can rewrite the equation as:

2sin(x)cos(x) = sin(x).

2cos(x) = 1.

Dividing both sides of the equation by cos(x), we get:

2 = 1/cos(x).

Now, we can find the value of cos(x) by taking the reciprocal of both sides:

cos(x) = 1/2.

From the unit circle or trigonometric values,

we know that cos(x) = 1/2 corresponds to angles of π/3 or 2π/3 (in radians) or 60° or 120° .

So, the solutions for x are:

x = π/3 + 2πn, where n is an integer.

or

x = 2π/3 + 2πn, where n is an integer.

In degrees:

x = 60° + 360°n, where n is an integer.

or

x = 120° + 360°n, where n is an integer.

Learn more about Trigonometry here:

https://brainly.com/question/13262593

#SPJ6

Find the vertex of f(x)= x^2+ 6x + 36


Pls help soon

Answers

Answer:

vertex(-3,27)

Step-by-step explanation:

f(x)= x^2+ 6x + 36 ( a=1,b=6,c=36)

V(h,k)

h=-b/2a=-6/2=-3

k=f(-3)=3²+6(-3)+36

f(-3)=9-18+36=27

vertex(-3,27)

Where r is the radius of the cylinder and h is the height of the cylinder. Find the surface area when r is 3 inches and h is 5 inches. A. 50π in² B. 112π in² C. 48π in² D. 80π in²

Answers

Answer:

C

Step-by-step explanation:

The surface area of a cylinder is given by this formula:

● Sa = 2×r^2× PI + 2r×Pi×h

r is 3 inches and h is 5 inches.

● Sa = 2×3^2 × Pi + 2×3×Pi×5

● Sa = 48 × Pi in^2

MATH QUESTION: When 8668/25 + 4141/9 - 5533/25 is computed and written as a mixed number in simplest form, what is the fractional part of that mixed number?

Answers

Answer:

23/45

Step-by-step explanation:

8668/25 + 4141/9 - 5533/25

= 26348/45

= 585(23/45)

=23/45

evaluate 1 whole number 2/5 + 3/4 and give your answer to one significant figure​

Answers

Answer:

The answer is

2 to 1 significant figure

Step-by-step explanation:

[tex]1 \frac{2}{5} + \frac{3}{4} [/tex]

To solve the question first convert the mixed fraction to an improper fraction

That's

[tex]1 \frac{2}{5} = \frac{7}{5} [/tex]

So we have

[tex] \frac{7}{5} + \frac{3}{4} [/tex]

Find the LCM of the fractions

The LCM of 5 and 4 is 20

That's

[tex] \frac{7}{5} + \frac{3}{4} = \frac{7(4) + 3(5)}{20} = \frac{28 + 15}{20} [/tex]

[tex] = \frac{43}{20} [/tex]

= 2.15

We have the final answer as

2 to 1 significant figure

Hope this helps you

I had $20.00 My Mom gave me $10.00. My Dad Gave me $50.00 My Aunt & Uncle gave me $100.00. I had another $5.00. How much did I have? I had $20.00 My Mom gave me $10.00. My Dad Gave me $50.00 My Aunt & Uncle gave me $100.00. I had another $5.00. How much did I have?

Answers

Answer:

you have $185 in total unless the aunt and uncle gave you 100 each, then your answer would be $285

Step-by-step explanation:

Answer:

0$

Step-by-step explanation:

simple

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each angle measure in degrees with its equivalent measure in radians.

Answers

Answer:

315° = 7π/4 rad80° = 4π/9 rad225° = 5π/4 rad324° = 9π/5 rad

Step-by-step explanation:

Find the attachment in the diagram below,

In order to get the right match, we will use the conversion

180° = πrad

- For angle 315°;

If 180° = πrad

315° = a

Cross multiplying

180a = 315π rad

a = 315π rad/180

a = 63π/36 rad

a = 7π/4 rad

Hence 315° = 7π/4 rad

- For angle 80°;

If 180° = πrad

80° = b

Cross multiplying

180b = 80π rad

b = 80π rad/180

b = 8π/18 rad

b = 4π/9 rad

Hence, 80° = 4π/9 rad

- For angle 225°;

If 180° = πrad

225° = c  

Cross multiplying

180c = 225π rad

c = 225π rad/180

c = 15π/12 rad

c = 5π/4 rad

Hence, 225° = 5π/4 rad

- For angle 324°;

If 180° = πrad

324° = d

Cross multiplying

180d = 8324π rad

d = 324π rad/180

d = 27π/15 rad

d = 9π/5 rad

Hence, 324° = 9π/5 rad

Name a real world context to describe the sums of rational numbers.

Answers

Step-by-step explanation:

when you are cooking you need to measure fractions of ingredients

Desmond is 2 inches taller than Niki. If we let w represent Nikis height in inches, write an algebraic expression for Desmonds height. Enter your answer as an expression. Example: 3x^2+1

Answers

Answer:

w + 2

Step-by-step explanation:

Niki's height = w in

Desmond height = w + 2

Answer:

w+2

Step-by-step explanation:

Since Desmonds is 2 inches taller than Niki, w+2 would make the most sense.

when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?​

Answers

Answer:

x-3 is cancelled and just one remains in numerator.

Not every straight line will pass the vertical line test. What is the only type
of straight line that would fail the vertical line test? *
A-horizontal line
B-vertical line
C-Option 3

Answers

Answer: B) vertical line

A vertical line has all points with the same x coordinate, but infinitely many different y coordinates. It inherently fails the vertical line test because we can pass a single straight line through more than one point on the function curve.

Put another way, the input is a single value but there's infinitely many outputs. A function must have each input produce exactly one output. This is of course only when the input is in the domain.

Answer:

c

Step-by-step explanation:

Which property can you apply to Hayley's expression to show that it is equivalent to Gretchens expression?

Answers

Answer: Distributive property of the multiplication.

Step-by-step explanation:

You did not post Gretchen's expression, but i gues that it is 3*(x + y)

I guess that it is the distributive property of the multiplication.

For 3 numbers, A, B and C, we have that:

A*(B + C) = A*B + A*C

here we have:

3*x + 3*y

We can do the inverse process to the distributive property, and get:

3*x + 3*y = 3*(x + y)

which i guess is Gretchen's expression.

Answer:

the other person is right it is Distributive property of the multiplication.

Please answer this question now

Answers

Answer:

396 yd^2

Step-by-step explanation:

8X12=96

(96/2)*2=9

10*10=100

100*3=300

300+96=396

Answer:

416 yd^2

Step-by-step explanation:

The formula for the surface area of a triangular prism is

[tex]A=2\sqrt{\frac{a+b+c}{2}(\frac{a+b+c}{2}-a)(\frac{a+b+c}{2}-b)(\frac{a+b+c}{2}-c)}+(a+b+c)h[/tex]

where h is the height (10), and a, b and c are the base sides (10, 10, 12).

multiply this decimals 1.02 x 0.286

Answers

The answer is 0.29172

4x- 3y = -13 -x + 6y = -44

Answers

Answer:

3x and 9y and -31 is the correct answer if you are bloviating.

Step-by-step explanation:

bloviate the factors of x and y.

(x,y) =(-19/3 , 56/9)

The shortest leg of a 30º-60º-90º triangle has a length of 6. Find the length of the other leg and the hypotenuse. Write your answer in simplest form. PLZ PLZ PLZ HELP I NEED THIS FOR MY GRADE I RATE 5/5 AND WILL NAME YOU THE BRAINLIEST!!!!!!

Answers

Answer:

[tex]leg=6\sqrt{3} \\\\hypotenuse=12[/tex]

Step-by-step explanation:

The equations for the 30°-60°-90° are as follows:

[tex]l=\sqrt{3}*s[/tex]

[tex]h=2*s[/tex]

l is the longer leg, s is the smaller leg, and h is the hypotenuse. Insert the known values and solve for the longer leg and the hypotenuse:

[tex]l=6\sqrt{3} \\h=12[/tex]

:Done

If 1 pound of grass seed costs 25x cents, represent in terms of x the cost of 7 pounds of seed? In polynomial simplest form

Answers

Answer:

175 cents

Step-by-step explanation:

25x=

25 • 7

25 • 7 = 175

Therefore the cost of 7 pounds of seed is 175 cents.

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