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UkoKoshka [18]
3 years ago
12

Find the equation of a line passing through the point (2, 3) and having a slope of 3.

Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Answer:

The answer to your question is the letter B) y = 3x - 3

Step-by-step explanation:

Data

Point = (2, 3)

slope = m = 3

Process

To solve this problem just substitute the values given in the slope-point equation.

Formula

               y - y1 = m(x - x1)

   x1 = 2      y1 = 3

-Substitution

              y - 3 = 3(x - 2)

-Expand

              y - 3 = 3x - 6

-Solve for y

             y = 3x - 6 + 3

-Result

             y = 3x - 3        

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16/93

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An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The r
aleksandrvk [35]

To solve the question, we will be using a Venn Diagram. Let's list down what's given first:

855 drank alcohol

657 smoked cigarettes

192 used illegal drugs

418 both drank alcohol and smoked cigarettes

109 drank alcohol and used illegal drugs

116 smoked cigarettes and used illegal drugs

88 engaged in all three

and 251 engaged in none of these

We will draw a Venn Diagram with 3 circles, one for each vice. Then we will start with the intersection of all three and the area outside of the circles (for those who do not engage in vices).

Because we know how many engaged in all 3 vices, we can deduct that number from those who belong to the intersection of 2 vices since they have already been counted in that too.

418 - 88 = 330 drank and smoked, but not used drugs

109 - 88 = 21 drank and used drugs, but not smoked

116 - 88 = 28 smoked and used drugs but not drank

Then, we subtract the numbers in each circle from the total for each vice.

855 - (330 + 88 + 21) = 416 drank only

657 - (330 + 88 + 28) = 211 smoked only

192 - (88 + 21 + 28) = 55 used drugs only

To find the total number of surveyed students, we just need to add all the numbers in the Venn Diagram.

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3 0
10 months ago
Write the following rate as a simplified fraction 55 dogs to 75 cats​
denis23 [38]

Answer:

11/15

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

55 ÷ 5

75 ÷ 5

=11/15

:)

4 0
3 years ago
Read 2 more answers
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