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Ksenya-84 [330]
3 years ago
8

Ryan is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $1.50 per mi

le driven. How much would a taxi ride cost if Ryan is riding for 3 miles? How much would a taxi ride cost that is mm miles long?
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

The answer is the taxi ride would cost $11

Hope this helps!

Brainliest??

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Square RSTU is inscribed in circle P. Given the coordinates for the vertices of the square, find the equation of circle P.
svlad2 [7]

Answer:

(x-2)^2+y^2=20

Step-by-step explanation:

We want to find the equation of a circle P, and we know that the square RSTU is inscribed in the circle, this means that if we replace the points:

R(0,4) S(6,2) T(4,-4) and U(-2,-2) the equation must be verified.

Then, we have to replace the points in each option to see which one is the correct answer.

Option A: (x-2)^2+y^2=68

  • R(0,4):

(x-2)^2+y^2=68\\(0-2)^2+4^2=68\\(-2)^2+16=68\\4+16=68\\20\neq 68

We can see that R doesn't belong to the equation of the circle.

We could replace the rest of the points in the equation, but since we already know that R does not belong to the circle, we already know that it is not the right option.

Option B: (x+2)^2+y^2=20

  • R(0,4):

(x+2)^2+y^2=20\\(0+2)^2+4^2=20\\2^2+4^2=20\\4+16=20\\20=20

The point R(0,4) verifies the equation.

  • S(6,2):

(x+2)^2+y^2=20\\(6+2)^2+2^2=20\\8^2+4^2=20\\64+16=20\\80\neq 20

The point S doesn't belong to the equation of the circle, then we already know that this isn't the correct option.

Option C: (x-2)^2+y^2=20

  • R(0,4):

(x-2)^2+y^2=20\\(0-2)^2+4^2=20\\(-2)^2+16=20\\4+16=20\\20=20

The point R verifies the equation.

  • S(6,2):

(x-2)^2+y^2=20\\(6-2)^2+2^2=20\\4^2+4=20\\16+4=20\\20=20

The point S verifies the equation.

  • T(4,-4):

(x-2)^2+y^2=20\\(4-2)^2+(-4)^2=20\\2^2+16=20\\4+16=20\\20=20

The point T verifies the equation.

  • U(-2,-2):

(x-2)^2+y^2=20\\(-2-2)^2+(-2)^2=20\\(-4)^2+4=20\\16+4=20\\20=20

The point U verifies the equation.

<em>We can see that the four points RSTU verifies the equation. This means that the square RSTU is inscribed in circle P whose equation is: </em>(x-2)^2+y^2=20

<em>We can see that the graph of the equation verifies the answer.</em>

3 0
4 years ago
8 x 1/2 on a number line
Serga [27]

Answer:

Step-by-step explanation

5 0
3 years ago
Multiply: 6√x * 4√y^3
EastWind [94]

Answer:

The third answer option is correct.  sqrt(x) = x^(1/2).  So sqrt(121) = 121^(1/2)

7 0
3 years ago
Read 2 more answers
Ernesto has $20 in an account. The interest rate is 10% compounded annually.
chubhunter [2.5K]

The interest Ernesto will earn in 1 year to the nearest cent is 2200 cents.

<u>Given the following data:</u>

  • Principal = $20.
  • Interest rate = 10%
  • Time = 1 year.

To calculate how much interest Ernesto will earn in 1 year to the nearest cent:

<h3>How to calculate compound interest.</h3>

Mathematically, compound interest is given by this formula:

B=P(1+r)^t

<u>Where:</u>

  • B is the balance.
  • P is the principal or starting amount.
  • R is the interest rate.
  • T is the time measured in years.

Substituting the given parameters into the formula, we have;

B=20(1+0.1)^1\\\\B=20(1.1)

B = $22.

<u>To cents:</u>

B = 22 \times 100

B = 2200 cents.

Read more on interest here: brainly.com/question/24341207

4 0
2 years ago
. Simplify the following expression by combining like terms:<br> 3a + 6ab + 9ab + 3(a + ab)
gladu [14]

Answer:

6a+18ab

I think is correct

3 0
3 years ago
Read 2 more answers
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