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3 years ago

What is the equation for the circle with the center (11,6) and passes through the point (17,12)

Mathematics

2 answers:

MissTica3 years ago

7 0

Answer:

The answer to your question is the letter D. (x - 11)² + (y - 6)² = 72

Step-by-step explanation:

Data

Equation = ?

Center = (11, 6)

Point = (17, 12)

Process

1.- Calculate the length of the radius using the distance between two points formula.

d = $\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}$

x1 = 11 y1 = 6

x2 = 17 y2 = 12

-Substitution

d = $\sqrt{(17 - 11)^{2}+ (12 - 6)^{2}}$

d = $\sqrt{6^{2} + 6^{2}}$

d = $\sqrt{36 + 36}$

d = $\sqrt{72}$

radius = $\sqrt{72}$

2.- Write the equation of the formula

(x - 11)² + (y - 6)² = ( $\sqrt{72}$ )²

Result

(x - 11)² + (y - 6)² = 72

Nitella [24]3 years ago

6 0

Answer: D) (x − 11)2 + (y − 6)2 = 72

Step-by-step explanation:

Got this right on USA test prep

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13.

50×y > 130.

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The capacity of a jug is 6L. Kerry needs 5L of juice for a party. how many jugs will she have to make?

zimovet [89]

Answer:

One

Step-by-step explanation:

Given data

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3 years ago

HHenry is going on a trip to Brazil. He is currently deciding which cities he will visit during his stay. The table below shows

Karo-lina-s [1.5K]

First, sum up the total expenses for the original plan

Duque de Caxias + Campinas + Rio de Janeiro + Guarulhos = 242+185+193+120 = R$740

It is clearly over the intended budget. The average cost per itinerary is around R$200 so we will consider making a swap on either Duque de Caxias and Rio de Janeiro. Possible answers are (b) or (c)

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Fortaleza + Campinas + Rio de Janeiro + Guarulhos =
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What is the measure of m?

Tanya [424]

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3 years ago

The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for

Fudgin [204]

Answer:

The cost of renting the car for 20 days is $481

Step-by-step explanation:

The table of values can be formed as follows;

Day, Cost

1, $44

2, $67

3, $90

4, $113

7, $182

10, $251

From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

$Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above$

The equation in slope and intercept form is therefore, y - 44 = 23×(x - 1), which gives;

y - 44 = 23·x - 23

y = 23·x - 23 + 44 = 23·x + 21

The cost of renting the car for 20 days is then;

10×23 + 21 = $481

The cost of renting the car for 20 days = $481.

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3 years ago