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3 years ago

The equation of a circle is (x-1)^2 +(y-2)^2=4. What is the center of the circle and what is the radius of the circle?

Mathematics

1 answer:

Virty [35]3 years ago

8 0

Answer:

Step-by-step explanation:

(x-1)²+(y-2)² =4 compare the given equation with the general one

(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius

so center is at ( 1, 2) and radius is 2

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Which shape has 2 parallel sides /i ready question

sesenic [268]

Answer:

A Parallelogram

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Ava opens an account with $400. She deposits $200/month for 20 years. The interest rate is 2.15%. How much interest will she hav

artcher [175]

Answer:

d. None of the above

Step-by-step explanation:

We assume the sequence of deposits is ...

month 0: $400

month 1: $200

month 2: $200

...

month 240: $200 . . . . accumulated interest is determined at this point

That is, no interest is earned on the last deposit.

_____

The value of the initial $400 deposit after 20 years at 2.15% interest compounded monthly is ...

$400×(1 +.0215/12)^(12×20) = $400×1.536666 ≈ $614.67

The value of the $200 annuity at the same interest rate is ...

$200((1 +.0215/12)^(12×20) -1)/(.0215/12) = $200×299.534612 ≈ $59,906.92

So, the total account value is ...

$614.67 +59,906.92 = $60521.59

The total amount deposited was ...

$400 +$200×240 = $48,400

The interest earned is the difference between the account value and the total of deposits:

$60,521.59 -48,400 = $12,121.59 . . . . interest earned

This value does not match any numerical answer choice, so we conclude the appropriate answer is ...

None of the above

3 0

3 years ago

Please let me know thank u

Andru [333]

Answer:

I'm pretty sure it's 4 because the graph is proportional

Step-by-step explanation:

5 0

3 years ago

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans the total cost is $

inna [77]

The cost for each pound of trail mix and each pound of jelly is given below.

Step-by-step explanation:

Let t = cost/pound of trail mix

Let j = cost/pound of jelly beans

5t + 6j = 35

3t + 2j = 15 = > 2j = 15 - 3t

5t + 3(15 - 3t) = 35

5t + 45 - 9t = 35

- 4t + 45 = 35

- 4t = - 10

4t = 10

t = 2.5

3(2.5) + 2j = 15

7.5 + 2j = 15

2j = 7.5

j = 3.75

7 0

3 years ago

A student made the following chart to prove that AB2 + BC2 = AC2:

aalyn [17]

Answer:

Solution:

Given : In triangle ABC right angled at B.

To Prove :

Construction: Draw B D perpendicular AC.

Proof: 1. Triangle ABC is similar to triangle BDC 1. Angle ABC = Angle BDC and Angle BCA = Angle BCD

2. = AC × DC 2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC

3. Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle BAD and Angle BAC = Angle ABD

4. = AC × AD 4. AB ÷ AD = AC ÷ AB because triangle ABC is similar to triangle ABD

= AC (AD + DC)

6. Adding Statement 1 and Statement 2

→→→Statement 3 is incorrect.It should be replaced by, Angle ABC = Angle ADB and Angle B AC = Angle BAD .

hope i could help also if u have time please mark me as brainlest

4 0

3 years ago