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spayn [35]
3 years ago
6

What is an equation of the line that passes through the point (3,-3) and is perpendicular to the line 3x+2y=12 ?

Mathematics
2 answers:
Gennadij [26K]3 years ago
6 0

Answer:

y=2/3x-5

Step-by-step explanation:

1. find the slope of the given line

2. find its opposite reciprocal(slope of the perpendicular line)

3. create a new linear equation using the new slope

4. substitute (3,-3) to find b

tatiyna3 years ago
4 0

Answer:y = 2x/3 - 5

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

3x+2y=12

We would rearrange it so that it will form of the y = mx + c. It becomes

2y = -3x + 12

y = -3x/2 + 6

Comparing with the slope intercept form, slope = - 3/2

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the given line. Therefore, the slope of the line passing through (3,-3) is 2/3

To determine the intercept, we would substitute m = 2/3, x = 3 and y = -3 into y = mx + c. It becomes

- 3 = 2/3×3 + c = 2 + c

c = - 3 - 2 = - 5

The equation becomes

y = 2x/3 - 5

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Joyce paid $220 for an item at the store that was 35 percent of the original price. What was the original price?
allochka39001 [22]

Answer:

The original price of item was $ 628.57

Step-by-step explanation:

Given as :

The amount paid fro an item = $ 220

And The paid amount was 35 % of the original price

Let The original price be x

So, According to question ,

35% of original price = $ 220

Or, 35% of x = $ 220

Or,    x = \frac{220\times 100}{35}

Or,    x = $ 628.57

Hence The original price of item was $ 628.57    Answer

8 0
3 years ago
An exponential model shows the growth of a towns population in years. Identify the parts:
Semmy [17]

9514 1404 393

Answer:

  • 2% growth per year
  • 25,000 to start
  • 12 years
  • 31,706 currently

Step-by-step explanation:

The base of the exponent is (1 +0.02). The value 0.02 = 2% is the growth rate. It is positive, signifying a 2% rate of growth per year. (Negative values would mean decay.)

The number 25000 that multiplies the exponential term is the value of the expression when the exponent is zero. It represents the starting population.

The exponent is said to be in years, so the time is 12 years.

The current population is the value of the expression:

  25,000(1.02^12) ≈ 31,706 . . . . current population

5 0
3 years ago
Carol makes 9 1/3 cups of snack mix.She puts 2/3 all the snack mix into plastic bags. She puts of a cup of the snack mix in each
m_a_m_a [10]

Carol has 6 2/9 cups of snack mix to put into plastic bags, so she would need 6 plastic bags and she would have 2/9 of snack mix left over.



5 0
3 years ago
Can someone please help me on this please I beg you no links I really appreciate it plz
madam [21]
Pretty sure you’re right!
3 0
3 years ago
4(m+3)=36 what’s the value of m
alisha [4.7K]

Answer:

the answer is 6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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