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topjm [15]
3 years ago
9

How do you simplify 15/40​

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0

Answer:3/8

Step-by-step explanation:

The simplest form of  

15 /40  is  3 /8 .

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 15 and 40 is 5

Divide both the numerator and denominator by the GCD

15 ÷ 5

40 ÷ 5

Reduced fraction:  

3 /8

Therefore, 15/40 simplified to lowest terms is 3/8.

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) Find the coordinates of the point A' which is the symmetric point
soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point  A(3, 2) with respect to the line 2x + y - 12 = 0.​

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

C( \dfrac{x+3}{2}, \dfrac{y+2}{2})

Also, product of slope will be -1 .( Since, they are parallel )

\dfrac{y-2}{x-3} \times -2  = -1\\\\2y - 4 = x - 3\\\\2y - x = 1

x = 2y - 1

So, C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})

Also, C satisfy given line :

2\times ( \dfrac{2y + 2}{2})  + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}

Also,

x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}

Therefore, the symmetric points isA'(\dfrac{31}{5}, \dfrac{18}{5}) .

7 0
2 years ago
A college professor reports that students who finish exams early tend to get better grades than students who hold on to exams un
s344n2d4d5 [400]

Answer:

The correlation between exam score and amount of time spent on the exam is an example of a <u>negative correlation</u>.​

Step-by-step explanation:

Consider the provided statement.

College professor reports that students who finish exams early tend to get better grades than students who hold on to exams until the last possible moment.

That means the student who finish the exam early will get the highest marks. One who finish after the first student will get second highest mark and the one who finish in the end will get the least marks.

Now consider time as first variable and marks as second variable.

That means as the first variable increase the second variable decreases.

According to the definition of Negative correlation: It is a relationship between two variables in which one variable increases as the other decreases, and vice versa.

Hence, the correct answer is negative correlation.

7 0
3 years ago
In the unit circle, the length of arc intercepted by an angle equals the radian measure of this angle. True False
Softa [21]
True. would be the righh answer
4 0
3 years ago
What is 3/4 of 4/5. Plz help
Dmitriy789 [7]

Answer:

3/5

Step-by-step explanation:

We want to find 3/4 of 4/5.

The keyword <em>of</em> tells us that we need to multiply. Therefore:

\frac{3}{4}\times\frac{4}{5}

Multiply:

=12/20=3/5

So, 3/4 of 4/5 is 3/5.

We can confirm this by converting them to decimals.

4/5 is 0.8.

3/4 is 0.75.

0.75 or 75% of 0.8 is indeed 3/5 or 0.6.

6 0
3 years ago
Convert each function to standard form<br>31) y=(x + 2)2 + 1​
vlada-n [284]

The standard form of a parabola is

y=ax^2+bx+c

So, if you expand the square, you get

y=(x+2)^2+1 = x^2+4x+4+1 = x^2+4x+5

which is the standard form

6 0
3 years ago
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