The humidity dropped an average of 1 1/3% each hour over the last six hours. What was the total change in humidity?

Convert the circle to standard form.<br><img src="https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20%2B%20%20%7B9y%7D%5E%7B2%7D

lara31 [8.8K]

Answer:

(x + 1)² + (y + 1)² = (√6)²

Step-by-step explanation:

Group the x- and y- terms together:

9x^2 + 18x + 9y^2 + 9y = 36

Factor out the coefficient 9:

x^2 + 2x + y^2 + y = 4

Complete the square of x^2 + 2x and then do the same for y^2 + 2y:

x^2 + 2x + 1 - 1 + y^2 + 2y + 1 - 1 = 4

Rewrite x^2 + 2x + 1 as the square of the binomial x + 1:

(x + 1)^2 + (y + 1)^2 - 2 = 4

Collect the constant terms on the right side:

(x + 1)^2 + (y + 1)^2 = 6

Rewrite 6 as (√6)^2:

(x + 1)² + (y + 1)² = (√6)² is the equation in standard form (x - h)² + (y - k)² = r²

Completing the square is done as follows: x^2 + 2x

Start with x^2 + 2x

1. Take half of the coefficient of x, which results in 2/2, or 1

2. Square this result and add it to, and subtract it from x^2 + 2x

x^2 + 2x + 1 - 1

3. Rewrite the first three terms as the square of a binomial:

x^2 + 2x + 1 - 1 = (x + 1)² - 1.

Do the same for y² + 2y.

7 0

3 years ago

Vince has a movie rental gift card that start with $50 on it. Each movie he rents costs him $4.

Leto [7]

Linear function: d = -4m+50 (that's a negative 4 btw)

Slope: -4

y-intercept: 50

I'm truly sorry but I forgot how to do the last one :(

5 0

3 years ago

Read 2 more answers

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Mars2501 [29]

Answer:

-6

Step-by-step explanation: dont know, did math. this is the answer on edge

6 0

3 years ago

Read 2 more answers

A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science coll

alexandr1967 [171]

Step-by-step explanation:

each department has 3 options for their representative.

and each of these options can be associated with the 3 options of the next department. and so on.

so, we have

3×3×3×3 = 3⁴ = 81

possibilities to firm that committee overall.

7 0

3 years ago

Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods, what

Sloan [31]

Answer:

The total salary of her is $1066666.66.

Step-by-step explanation:

Given : Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods.

To find : What was her total salary?

Solution :

Let x be the total salary.

Allison earns a $40,000 base salary.

If she sold $200,000 worth of goods.

i.e. the amount is $200,000-$40,000=$160,000

The total salary is given by,

$160,000=15% of x

$0.15\times x=160000$

$x=\frac{160000}{0.15}$

$x=1066666.66$

The total salary of her is $1066666.66.

6 0

3 years ago