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Vika [28.1K]
3 years ago
8

Find the equation of the circle: b with center (5, 1/4 ), radius 6

Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

The equation of the circle would be

(

x

−

(

−

4

)

)

2

+

(

y

−

7

)

2

=

6

2

or

(

x

+

4

)

2

+

(

y

−

7

)

2

=

36

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Drag numbers to the table so it shows a proportional relationship between x and y.
Marat540 [252]

Using the proportional relationship equation, the missing values are:

Third row: x = 6 and y = 9

Fourth row: x = 15

<h3>What is a Proportional Relationship?</h3>

A proportional relationship can be described as a relationship between two variables, x and y, that have equivalent ratios. In order words, one variable always equals a constant when multiplied by the other variable.

The constant is called the constant of proportionality which can be represented as k.

Thus, k = y/x.

A proportional relationship between x and y can be represented with the equation, y = kx, where k is the constant of proportionality.

Using the pairs given in the table, (3, 4.5), find the constant of proportionality, k:

k = y/x = 4.5/3

k = 1.5

The equation that models the proportional relationship of the values in the table would be: y = 1.5x.

Use the equation to find the rest of  the missing values.

Third row:

If x = 6 and y = 9, then,

k = y/x = 9/6 = 1.5

The missing values for the third row would be: x = 6 and y = 9

Fourth row: Substitute y = 2.5 into y = 1.5x to find x

22.5 = 1.5x

22.5/1.5 = x

15 = x

x = 15

Missing value in the fourth row will be: x = 15.

Learn more about proportional relationship on:

brainly.com/question/15618632

#SPJ1

4 0
2 years ago
What is the length of the side AC in the triangle above
kati45 [8]
Cshlongcongdongbongsonglongaongwong
8 0
3 years ago
consider that a linear expression in the first step of simplification shown below which algebraic property was used to simplify
zvonat [6]

Answer:

The property used in the simplification is: Distributive Property.

Step-by-step explanation:

" The distributive property is used to combine the two terms that had the same variable. The distributive property is the key to combining expressions with like terms.

Terms are like terms when they have the exact same variables with the exact same exponents" .

Hence, the property used in the simplification of this expression is a distributive property.



7 0
3 years ago
2. Find the first, fourth, and tenth terms of the arithmetic
sladkih [1.3K]

Answer:

<u>The correct answer is B. -6, -5 2/5, - 4 1/5</u>

Step-by-step explanation:

Let's find the 1st, 4th and 10th terms of this arithmetic sequence, as follows:

A(n)= -6 + (n-1) *(1/5)

A(₁)= -6 + (1 - 1) * (1/5) = -6 + (0) * (1/5) = -6

A(₄)= -6 + (4 - 1) * (1/5) = -6 + (3) * (1/5) = -6 +3/5 = -5 2/5

A(₁₀)= -6 + (10 - 1) * (1/5) = -6 + (9) * (1/5) = -6 + 9/5 = -4 1/5

<u>The correct answer is B. -6, -5 2/5, - 4 1/5</u>

7 0
3 years ago
Three people need to peel 1000 potatoes working together. Stacey starts at 2 PM peeling 20 potatoes per hour. Rob starts at 3 PM
Mademuasel [1]

Answer:

They would be done by 2 :  18 AM

Step-by-step explanation:

Key Information:

- Stacey starts at 2 PM peeling 20 potatoes per hour

- Rob starts at 3 PM peeling 30 potatoes per hour

- James starts at 4 PM peeling 40 potatoes per hour

At 5pm;

Stacy would have worked for 3 hours and would have peeled ( 3 * 20 = 60 potatoes)

Rob would have worked for 2 hours and would have peeled ( 2 * 30 = 60 potatoes)

James would have worked for an hour and would have peeled ( 1 * 40 = 40 potatoes)

Total number of potatoes peeled at 5pm = 60 + 60 + 40 = 160 potatoes

Potatoes left = 1000 - 160 = 840 potatoes.

The new peeling rate for three of them combined is (20 + 30+ 40 ) = 90 potatoes per hour.

Rate = potatoes left / time;

Time = Potatoes / Rate

Time = 840 / 90 = 9.3 hours = 9 hours 18 minutes

Total time taken = 9 hours 18 minutes + 3 hours = 12 hours 18 minutes

They would be done by 2 :  18 AM

8 0
3 years ago
Read 2 more answers
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