All categories

3 years ago

First to answer gets brainliest

Mathematics

1 answer:

harkovskaia [24]3 years ago

4 0

Answer:

I think it's B

Step-by-step explanation:

You might be interested in

Find the center and radius of the circle whose equation is x2 + y2 - 6x-2y+4= 0

marin [14]

Answer:

The center of the circle = (3, 1)

The radius of a circle is given as r = √6

Step-by-step explanation:

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

In the question above, we are given the equation of a circle as

x² + y² - 6x - 2y + 4= 0

In order to find the center and radius of this circle we would use completing the square method to solve it

Step 1

Collect the like terms

x² - 6x + y² - 2y + 4= 0

Step 2

Complete the square for both x and y

x² - 6x + (-6/2)² + y² - 2y + (-2/2)² = - 4 +(- 6/2)² + (-2/2)²

x² - 6x + (-3)² + y² - 2y + (-1)² = -4 + (3)² + (1)²

x² - 6x + 9 + y² - 2y + 1 = -4 + 9 + 1

(x² - 6x + 9) + (y² - 2y + 1 )= -4 + 9 + 1

(x² - 3x - 3x +9) + ( y² - y - y +1) = 6

x(x - 3) -3( x - 3) + y( y - 1) - 1( y - 1) = 6

(x - 3) (x -3) +(y - 1) ( y - 1) = 6

(x - 3)²(y - 1)² = 6

Since,

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

The equation of the the circle for the above question is calculated as:

(x - 3)²(y - 1)² = 6

where ( a , b) = center of the circle = (3, 1)

r = radius of the the circle

r² = 6

r = √6

8 0

3 years ago

The assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^0.27x, where x=7 correspo

Mashutka [201]

The value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively. A function assigns the values.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the assets (in billions of dollars) for a financial firm can be approximated by the function $A(x)=318e^{0.27x}$ , where x=7 corresponds to the year 2007. Therefore, the assets value in the following years will be,

A.) 2012 - $A(12)=318e^{0.27\times 12} = 8,119.72$

B.) 2014 - $A(14)=318e^{0.27\times 14} = 13,933.5$

C.) 2012 - $A(17)=318e^{0.27\times 17} = 31,321.23$

Hence, the value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

6 0

2 years ago

Why does a triangle have three sides if a pillow has four.

OlgaM077 [116]

A triangle has three sides and a pillow has four

7 0

3 years ago

Read 2 more answers

Twenty percent of the 640 pitches Kendall threw last year were strikes. Which table can be used to find the number of strikes sh

Ksju [112]

Answer:

1 out of every 5 throws were strikes.

Step-by-step explanation:

20% is one fifth of 100%.

5 0

3 years ago

Read 2 more answers

The height h is greater than 2.5 meters.<br> Write an inequality for the word sentence

Zielflug [23.3K]

Answer:

H > 2.5

Step-by-step explanation:

Greater = >

Lessthan = <

Equal = =

4 0

3 years ago