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MA_775_DIABLO [31]
3 years ago
13

What is an equation of the line that passes through the point (-4,-7) and is perpendicular to the line 2x+3y=18??

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0

Answer:

y = 3/2x - 1

Step-by-step explanation:

Given: 2x + 3y = 18

The equation of the line in the slope-intercept form is y = -2/3x + 6.

slope = m = -2/3

The slope of the perpendicular line is negative inverse.

m = 3/2.  

Equation of the perpendicular line:

y = 3/2x + a.

Use the given point of (-4, -7) to find a:

-7 = (3/2)(-4) + a

a=−1.

y = 3/2x - 1

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Dvinal [7]

Answer:

log2 10 = 3x

Step-by-step explanation:

Basic Logarithm Tenets

7 0
3 years ago
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What is the equation of the line through (1, 6) and (0, 2)?
ASHA 777 [7]

Answer:

y = 4x + 2

Step-by-step explanation:

y = mx + b

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6 0
3 years ago
Two factors of 18 add up to 12. What are they?
stepladder [879]

Answer:

3 and 9

Step-by-step explanation:

The factors of 18 can be listed as

1, 2, <u>3</u>, 6, <u>9</u>, 18

The two which sum to 12 are 3 and 9

7 0
3 years ago
Cell phone plan A costs 79 per month and comes with a free 500 phone. Cell phone plan B costs 50 per month but does not come wit
meriva

Answer: it will take 25 months

Step-by-step explanation:

Let x represent the number of months that it will take for the cost of both plans to be the same.

Cell phone Plan A costs $70 per month and comes with a free $500 phone. This means that the total cost of x months with plan A would be

70 × x = $70x

Cell phone plan B costs 50 per month but does not come with a phone. If you buy the 500 phone and choose plan B, then the total cost of x months with plan B would be

500 + 50 × x = 500 + 50x

To determine the number of months until your cost is the same as Plan A's, we would equate both costs. It becomes

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8 0
3 years ago
Select the correct answer.
alekssr [168]

Using scientific notation, the correct statement is given by:

C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

a \times 10^b

With the base being a \in [1, 10).

Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:

  • Corporation A: 3.2 \times 10^5 = 320000 = 320,000.
  • Corporation B: 4 \times 10^4 = 40000 = 40,000.
  • Corporation C: 4.3 \times 10^5 = 430000 = 430,000.

Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.

More can be learned about scientific notation at brainly.com/question/16394306

#SPJ1

3 0
2 years ago
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