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Svetllana [295]
2 years ago
9

Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.

Mathematics
1 answer:
Schach [20]2 years ago
4 0

Answer:

A. x-2y=-12

Step-by-step explanation:

We have been given an equation of a line in point-slope form. We are asked to write our given equation in standard form.

y-3=\frac{1}{2}(x+6)

Since we know that standard form of equation is: ax+by=c, where, a, b and c are constants.

Let us multiply both sides of our given equation by 2.

(y-3)*2=2*\frac{1}{2}(x+6)

2y-6=x+6

Let us add 6 to both sides of our equation.

2y-6+6=x+6+6

2y=x+12

Let us subtract x from both sides of our equation.

2y-x=x-x+12

2y-x=12

Multiply both sides of our equation by -1.

-2y+x=-12

Rearranging our equation we will get,

x-2y=-12

Therefore, the standard form of our given equation is x-2y=-12 and option A is the correct choice.

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Answer: 15 or \frac{15}{1}

Step-by-step explanation:

We need to divide 300 by 20.

We get 15 or \frac{15}{1}.

7 0
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In a young woman's study group, 7 percent of the students are from the town where the young woman's school is located, 80 percen
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Answer: the percent of study group students from outside the state is 13%

Step-by-step explanation:

The total number of students in the young woman's study group that are from the town where the young woman's school is located is 7%

The total number of students in the young woman's study group that are from in-state (but not from the school's town) is 80%.

Since the rest are from outside the state, the percent of study group students from outside the state would be

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3 years ago
SHOW WORK NEED ASAP
Semenov [28]

Answer:

rectangular tables

Step-by-step explanation:

x: how many tables

a) 49x/49=800/49

x=16.3

so roughly 16 tables

b) 64x/64=800/64

x= 12.5

so roughly 12(you round to nearest even number when it is .5)

c) Now we will calcuate how many people will fit using the number of fitting capacity

=16 (8)

128

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Therefore, the rect tables will fit more people

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2 years ago
cara works at a fine jewelry store and earns a commission on her total sales for the week. her weekly paycheck was in the amount
Gekata [30.6K]

Cara's rate of commission is 12%.

Step-by-step explanation:

Given,

Paycheck = $6500

Salary = $1000

Commission = Paycheck - Salary

Commission = 6500-1000 = $5500

Total sales for the week = $45000

Commission rate = \frac{Commission}{Total\ Sales}*100

Commission\ rate=\frac{5500}{45000}*100\\\\Commission\ rate=\frac{550000}{45000}\\\\ Commission\ rate=12.22\%

Rounding off to nearest whole number.

Commission rate = 12%

Cara's rate of commission is 12%.

Keywords: commission, subtraction

Learn more about subtraction at:

  • brainly.com/question/10570041
  • brainly.com/question/10610299

#LearnwithBrainly

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3 years ago
Ms. Blevins wants to survey a random sample of students at her middle school about the amount of homework assigned each night. W
NeTakaya
I think maybe 3) would make the most sense because she wants a random sample of students and the other options are specific on the type of students.
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