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horsena [70]
3 years ago
10

Write an expression for the following situation and solve it. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then g

ave 4 to his students.
Mathematics
1 answer:
Nitella [24]3 years ago
4 0
Hi! 
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.
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The points P(2,3) , Q(-1,1) and R(5,-1) are the vertices of a triangle PQR.Find the equation of the altitude of the triangle PQR
vfiekz [6]

Answer:

y = \frac{3}{4} x+ \frac{7}{4}

Step-by-step explanation:

The slope of straight line PR where P(2,3) and R(5,-1) are two vertices of triangle PQR will be = \frac{3-(-1)}{2-5} =-\frac{4}{3}

Therefore, the slope of the altitude passing through Q(-1,1) will be \frac{3}{4} {Since, the product of slopes of two perpendicular straight line is -1}

So, equation of the altitude is y=\frac{3}{4} x + c where c is a constant.

Now, putting x = -1 and y = 1 in the above equation we get  

1 = -\frac{3}{4} + c

⇒ c=\frac{7}{4}

Therefore, the equation of the altitude is y = \frac{3}{4} x+ \frac{7}{4} (Answer)

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3 years ago
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Step-by-step explanation:

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Is there more to the problem? There isn’t enough information here.
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A new operation is defined by a△b=a^2-b/b-a^2. 4△3.
dmitriy555 [2]

As the new mathematical operation is defined by a△b=a^2-b/b-a^2, the value of 4△3 using the same operation will be 4△3 = -1

As per the question statement, we are given a new mathematical operation a△b=a^2-b/b-a^2 and we are supposed to find the value of 4△3 using the same operation.

Given, a△b=a^2-b/b-a^2

now 4△3 = (4^2-3) / (3-4^2)  

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4△3 = -1

Hence, as the new mathematical operation is defined by a△b=a^2-b/b-a^2, the value of 4△3 using the same operation will be 4△3 = -1.

  • Mathematical operation: An operator in mathematics is often a mapping or function that transforms components of one space into elements of another.

To learn more about mathematical operation, click on the link given below:

brainly.com/question/8959976

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