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balandron [24]
3 years ago
14

What is the slope of a line that is perpendicular to the line y =-1/2x + 5?

Mathematics
2 answers:
Kipish [7]3 years ago
8 0
Perpendicular is opposite sign and reciprocal
2/1 = 2
Agata [3.3K]3 years ago
6 0
To find the slope of a line perpendicular to another line, we simply need to find the inverse negative of the slope of the first one. This makes sense if you visualize it on a graph or in your head.

The slope of the line given is -1/2.

To find the inverse negative we first inverse the number, then take then negatuve of that (or opposite order).

The inverse of -1/2 is, -2 (switch the numerator and denominator or do to the power of -1, ^-1).

The negative of -2 is, 2.

Therefore the slope of the line perpendicular to y = -1/2x + 5 is 2.
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What's the solution set for the inequality x^2-2x<8?
Oliga [24]
x^2-2x

So, the numbers to base your solution set on are -2 and 4 (the numbers that the equation equal to 0)

Then, you plug in 3 numbers to the equation: a number less than -2, a number between -2 and 4, and a number greater than 4.  They represent the three sections of the number line created by the points -2 and 4.  So, our numbers will be -3, 0, and 5:

(x-4)(x+2)

7<0 is incorrect, so the section of the number line less than -2 does not work.

(x-4)(x+2)

-8<0 is correct, so the section of the number line between -2 and 4 works.

(x-4)(x+2)

7<0 is incorrect, so the section of the number line above 4 does not work.

So, only the section between -2 and 4 works.  However, the problem is a "less than" problem, not a "less than or equal to" problem, so -2 and 4 are not included in the solution set.  That gives you the answer:

(-2, 4)          (NOT BRACKETS because -2 and 4 are not included)
6 0
3 years ago
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vladimir1956 [14]

Answer:

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7 0
3 years ago
Read 2 more answers
Identify a temperature colder than -7.2f. Write an inequality that relates the temperatures. Describe their positions on a horiz
madreJ [45]
Colder then -7.2 F would be -8.5 F

-7.2 > -8.5

anything to the left of -7.2 on the number line will be less then(oe in this case, colder then) -7.2....so -8.5 falls to the left of -7.2
8 0
3 years ago
In 2000, the world population 6.08 billion and was increasing at a rate of 1.5% each year.
serg [7]

Answer:

  • 7.8 billion

Step-by-step explanation:

<u>Given:</u>

  • Initial population = 6.08 billion
  • Increase rate = 1.5% or 0.015 times per year

Time passed = 2017 - 2000 = 17 years

<u>Population in 2017:</u>

  • P = 6.08*(1 + 0.015)^17 = 7.8 billion
5 0
3 years ago
The ratio x : x + 1 is equal to 1 : 2. Find the value of x .
NISA [10]

Answer:

x = 1

Step-by-step explanation:

   x         1

-------- = ----

 x + 1      2

Begin the solution by multiplying both sides by the LCD, which is 2(x + 1):

 2x = 2(x + 1)/2, or

2x = x + 1, or

x = 1

                    1

Check:  is -------- = 1/2?  

                  1 + 1

YES

5 0
3 years ago
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