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spayn [35]
2 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]2 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

tatiyna2 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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3 years ago
I need this answered asap please and thankyou :D
suter [353]

Answer:

b

Step-by-step explanation:

5 0
2 years ago
(Q6) Decide if the function is an exponential function. If it is, state the initial value and the base. y= -4.8·4^x
topjm [15]

Answer:

D

Step-by-step explanation:

Exponential equation takes the form  y=a*b^x  where

  1. a is the initial value ( a ≠ 0), and
  2. b is the base ( b ≠ 1)

The equation given in the problem can be written as  y=-4.8*4^x, so it is <em>an exponential equation, </em>  where a = -4.8 and b = 4.

Thus we can say that the initial value = -4.8 and the base is 4

The correct answer is  D

3 0
2 years ago
It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet. Please help
Luda [366]

Answer:

The set of natural numbers is the set of all positive integers, then this set is:

{1, 2, 3, ...}

and the 24th letter of the alphabet is x

Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

We can "break" this in parts, so it is easier to understand.

Then:

"...the sum of the first 3 natural numbers..."

is:

1 + 2 + 3

Then:

"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"

This can be written as:

(1 + 2 + 3) + x

Now we can analyze the complete sentence:

"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

This is equal to the expression we found above plus one, then we can write this as:

[(1 + 2 + 3) + x] + 1

[6 + x] + 1

6 + x + 1

7 + x

4 0
3 years ago
11A. Lakewood Towing Company charges $50 plus $4 per mile to tow
aleksandr82 [10.1K]

Answer:

15 miles

Step-by-step explanation:

50 + 4x = 80 + 2x

-50 -2x = -50 -2x

2x = 30

x = 15

7 0
2 years ago
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