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Taya2010 [7]
3 years ago
13

Points (3,1) and (1,4) lie on line k. What is the slope of the line that is perpendicular to k?

Mathematics
1 answer:
denis-greek [22]3 years ago
6 0
First we need to find the slope of line k.  Using the slope formula, we fill in accordingly: m= \frac{4-1}{1-3}.  The slope is -3/2.  The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3).  You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals.  The slope you're looking for is 2/3.  Choice 3 above.
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Kevin is making 8 centerpieces for a party. In each centerpiece, of an ounce of flower food is used. How many ounces of flower f
nikdorinn [45]
8 ounces of flower food.
7 0
2 years ago
Someone please help me with this!!!
Dmitry_Shevchenko [17]

Answer:

it would be 3 85

Step-by-step explanation:

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7 0
2 years ago
At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying. The res
steposvetlana [31]

Answer:

1/15 of their time is free time.

Step-by-step explanation:

To find the answer to this 2-step problem, we have to add all the fractions up, then find how much of that time is not part of the fraction.

So to add all the fractions, you have the equation:

1/4 + 3/5 + 1/12

The first thing we have to do is to find a common denominator.

4, 5, and 12 are each able to multiply into 60.

So we can make the equation now with a common denominator.

15/60+36/60+5/60=56/60.

We now can simplfy this.

56/60=14/15

Now that we know how long it is to do all the other activities, it tells us that the rest of the time is free time. To find the rest of the time, we have to do:

1-14/15=1/15

So 1/15 of their time is free time.

8 0
3 years ago
In 2015 there was a population of 155 opossums on and around the Gunn campus. The per capita birth rate in 2015 was 0.11/year an
belka [17]

Answer: 0.02 per year

Step-by-step explanation:

When given the per capita birth rate and the per capita death rate, the per capita growth rate can be calculated as:

= per capita birth rate - per capita death rate

= 0.11 - 0.09

= 0.02/year

= 2% per year

7 0
2 years ago
Consider the statements below. Which are propositions? Mark all that apply.
allochka39001 [22]

The following statements are considered to be propositions:

  • 2 + 2 = 7
  • There are more men than women at BYU-Idaho.
  • 2 + 2 = 4
  • Ron hates spiders.

<h3>What is deductive reasoning?</h3>

Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions or from one or more premises (factual statements) that are assumed to be generally (universally) true.

<h3>What is a proposition?</h3>

A proposition can be defined as a type of statement (assertion) that is typically used to express an opinion or a judgement, with either a true or false answer.

This ultimately implies that, a proposition refers to a type of statement (assertion) that is either a true or false.

In this context, we can infer and logically deduce that the following statements are considered to be propositions:

  • 2 + 2 = 7
  • There are more men than women at BYU-Idaho.
  • 2 + 2 = 4
  • Ron hates spiders.

Read more on propositions here: brainly.com/question/24158168

#SPJ1

5 0
2 years ago
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