All categories

3 years ago

Which point does not lie on the circle centered at (3, 2) with radius 5? A) (0, 6) B) (3, -3) C) (-2, 2) D) (3, 0)

Mathematics

1 answer:

vladimir1956 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (3, 2) and r = 5, hence

(x - 3)² + (y - 2)² = 25 ← equation of circle

If an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.

Substitute the coordinates of the points into the left side of the equation of the circle and check validity.

(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circle

(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circle

(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circle

(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle

You might be interested in

Joy Wigens, who works at Putnam Investments, received a check for $2,670. She deposited 1/3 of the check in her Citibank account

spin [16.1K]

Answer: $1,780

Step-by-step explanation:

Joy Wigens deposited 1/3 of the check of $2,670 that she received in her Citibank account.

The amount she deposited in her Citibank account was:

= 1/3 * 2,670

= $890

The amount she is left with after this deposit will therefore be:

= Check amount - deposit at Citibank

= 2,670 - 890

= $1,780

5 0

3 years ago

Point Q is the center of dilation. Lines segment S U is dilated to form line segment S prime U prime. The length of Q S is 3 .2

tia_tia [17]

Answer:

Option C.

Step-by-step explanation:

It is given that the dilation rule is $D_{Q,2.5}$ . It means the center of dilatation is point Q and scale factor is 2.5.

Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

$\text{Scale factor}=\dfrac{QU'}{QU}$

It is given that QU=4 and scale factor = 2.5.

$2.5=\dfrac{QU'}{4}$

Multiply both sides by 4.

$2.5\times 4=QU'$

$10=QU'$

We know that

$UU'=QU'-QU$

$UU'=10-4$

$UU'=6$

The distance between U' and U is 6 units.

Therefore, the correct option is C.

8 0

3 years ago

Read 2 more answers

Prove algebraically that the recurring decimal 0.35 (the 5 recurring) has the value <img src="https://tex.z-dn.net/?f=%5Cfrac%7B

DedPeter [7]

Answer:

Step-by-step explanation:

r10 = 3.555555555...

r100 = 35.55555555...

then, r100-r10 = 35.555... - 3.555...

r90= 32

to find r, divide both sides by90

which will give as ;

r = 32

------

4 0

3 years ago

All the info is in the pictures

Hunter-Best [27]

Bearing in mind that an absolute value expression is in effect a piece-wise function with two cases, thus

$\bf |-n|=
\begin{cases}
+(-n)\\
-(-n)
\end{cases}\implies 
\begin{cases}
-n\\
n
\end{cases}
\\\\\\
n|-n|=2n\implies 
\begin{cases}
n-n=2n\implies 0=2n\implies &0=n\\
n+n=2n\implies 2n=2n\impliedby &inconsistent
\end{cases}$

6 0

3 years ago

What is the estimate of 137,638 plus 52,091

polet [3.4K]

The answer is 189,729
If to be rounded answer would be 190,000 I would say best estimate would be 180,000

3 0

3 years ago

Read 2 more answers