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Phantasy [73]
3 years ago
5

Find the equatio of the line tht contains the point (5,6) and is perpendicualr to the line 4x+2y=2

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0
--------------------------------------------------------------
Find Slope
--------------------------------------------------------------
4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2

--------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------
y = 1/2x + c

--------------------------------------------------------------
Find y-intercept 
--------------------------------------------------------------
y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2 
c = 7/2

--------------------------------------------------------------
Insert y-intercept into y = 1/2 x + c
--------------------------------------------------------------
y = 1/2 x + 7/2
2y = x + 7

--------------------------------------------------------------
Answer: 2y = x + 7
--------------------------------------------------------------
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Distance between 2 airports 1,505 miles. Average speed of airplane 420 mph. Flight time hours
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For this case we have the following definition:
 d = v * t
 Where,
 d: distance
 v: speed
 t: time
 Clearing the time we have:
 t = d / v
 Substituting values:
 t = 1505/420
 t = 3,583 hours
 Answer:
 
Flight time hours:
 
t = 3,583 hours
6 0
3 years ago
If x = 9, what is the value of 6(x - 2)?
balandron [24]

Answer: 42

6(9-2)

= 6 * 7

= 42

3 0
2 years ago
Read 2 more answers
Write a compound inequality that represents the annual profits P ( in millions or dollars) from 2006 to 2013.
alisha [4.7K]

Answer:

(50000000 ≤ P ≤ 90000000)

Step-by-step explanation:

The chart represents annual profits in millions of dollars. From the chart, the least annual profit is 50 million dollars and that was is the year 2009.

The highest annual profit is 90 million dollars and that was is the year 2012.

The compound inequality representing the annual profits P(in millions or dollars) from 2006 to 2013 would be

(50000000 ≤ P ≤ 90000000)

7 0
3 years ago
1. m – 7 < 6 A) m < –1 B) m > 1 C) m < 13 <---------------------- D) m < –13 2. x + 4.5 ≥ 5.5 A) x ≥ 10 B) x ≥
ikadub [295]
1) m - 7 < 6
 Add 7 to the both sides, 
m - 7 + 7 < 6 + 7
m < 13

So, Option C is your answer for this part.

2) x+4.5 ≥ 5.5
Subtract 4.5 from both sides, 
 x ≥ 1

So, Option B is your answer for this part.

3) p +12 > 9
Subtract 12 from the both sides, 
p > -3

So, Option D is your answer for this part.

4) x - 5 ≥ 9
So, Option A is your answer for this part

Hope this helps!

6 0
3 years ago
A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is give
Andre45 [30]

Answer:

  • Growth
  • 22%

Step-by-step explanation:

<u>Given function:</u>

  • P(t) = 400(1.22)^{t}

<u>Initial population size is when t = 0</u>

  • P(0) = 400(1.22)⁰ = 400(1) = 400

<u>The multiple of 1.22 is applied every year, so the ratio of change is:</u>

  • 1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

5 0
3 years ago
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