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nirvana33 [79]
2 years ago
6

Point A is located at (-3, 9) and point B is located at (12,-10). Find the distance from point A to point B rounded to the neare

st tenth
Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

Answer:

20

Step-by-step explanation:

\sqrt{(( - 10) - 9)^{2}  + (12 - ( - 3)) ^{2} }

\sqrt{( - 19)^{2}  + (15)^{2} }

\sqrt{361 + 225}

\sqrt{586}

24.2074

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An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 7.32 cents per
Sedaia [141]

Answer:

y(x) = 0.0732x + 17.32

Step-by-step explanation:

The equation for the monthly charge has the following format

y(x) = ax + b

In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.

Base charge of $17.32 per month.

This means that b = 17.32

charge of 7.32 cents per kilowatt-hour

Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is a = 0.0732

Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.

y(x) = ax + b

y(x) = 0.0732x + 17.32

6 0
3 years ago
Simplify the expression.<br><br><br> Write your answer without negative exponents.
Phoenix [80]

Answer:

-5/ (x^19 * y^12)

Step-by-step explanation:

-15x^-10 * y ^ -3 * x^-9 * y^-9/3 (It's writing it like this.)

15 and 3 have a GCF of 3.

-5x^-10 * y^-3 * x^-9 * y^-9/1

Reduce similar occurrences. *twice in a row*

-5x^(-10 + (-9)) * y^(-3 + (-9))/1

Remove extra signs *twice in a row*

-5x^(-10 - 9) * y^(-3 - 9)/1

Remove extraneous 1.

-5x^(-10 - 9) * y^(-3 - 9)

Add integers.

-5x^-19 * y^-12

Negative powers change multiplication to division.

-5 / (x^19 * y^12) is the final answer.

Even with that, the simplified answer wouldn't have negative exponents because of the negative powers rule.

8 0
2 years ago
Find the solution set of 5/y+4=3/y-2
GaryK [48]

Answer:

y=-1/3

Step-by-step explanation:

first combine like terms:

5/y-3/y=-2-4

2/y=-6

now multiply y on both sides:

2=-6y

solve the equation

y=-1/3

4 0
3 years ago
Read 2 more answers
Julie wanted to earn money to attend a basketball camp. She started with a gift of money from her grandparents and then saved $2
adoni [48]
The equation would be y = 25x + 50

In order to find this equation, we need to know how much the gift from her grandparents was. To do so, we have to find out how much she's saved from dog walking. 

Since she saves $25 a month for 7 months, we can find the total amount as:

25*7 = 175

Then we can subtract that from the total she has saved to find the amount for the gift.

225 - 175 = 50

Finally, we put the amount per month in the equation with the gift as the y intercept to create the equation above. 
6 0
3 years ago
Is the LMC of a pair of numbers ever less than both numbers? (answer quick please)
erma4kov [3.2K]
The usual definition of Least Common Multiple of two numbers states that is the Least positive integer that can be evenly divided by both numbers. The way it is usually defined the two numbers must be positive integers
5 0
3 years ago
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