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solmaris [256]
2 years ago
9

What is the median of the following numbers? 1, 2, 4, 6, 41,2,4,6,41, comma, 2, comma, 4, comma, 6, comma, 4

Mathematics
1 answer:
den301095 [7]2 years ago
3 0

Answer:

4

Step-by-step explanation:

Here are the Numbers: 1,2,4,6,41,2,4,6,41,2,4,6,4

First we order from least to greatest;

1,2,2,2,4,4,4,4,6,6,6,41,41

Since the amount of numbers are odd, we just take the middle number:4

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Solve for k: -2k = k - 7 - 8 and explain in number form
Kamila [148]

Answer:

k = 5

Step-by-step explanation:

-2k = k - 7 - 8

Combine like terms

-2k = k - 15

add 15 to both sides

-2k + 15 = k

Add 2k to both sides

15 = 3k

Divide both sides by 3

k=5

Hope this helps!

7 0
3 years ago
I need help on 14 please
Fynjy0 [20]
2+x=50

That is what I would do. I hope this helps!
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3 years ago
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Triangle ABC has vertices at A(2,3),B(-4,-3) and C(2,-3) find the coordinates of each point of concurrency.
dem82 [27]

Answer:

Circumcenter =(-1,0)

Orthocenter =(2,-3)

Step-by-step explanation:  

Given : Points A = (2,3), B = (-4,-3), C = (2,-3)  

Formula used :  

→Mid point of two points- (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

→Slope of two points - \frac{y_2-y_1}{x_2-x_1})

→Perpendicular of a line = \frac{-1}{slope of line})

Circumcenter- The point where the perpendicular bisectors of a triangle meets.

Orthocenter-The intersecting point for all the altitudes of the triangle.

To find out the circumcenter we have to solve any two bisector equations.

We solve for line AB and AC

So, mid point of AB =(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)

Slope of AB =\frac{-3-3}{-4-2}=1

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of the perpendicular bisector = -1  

Equation of AB with slope -1 and the coordinates (-1,0) is,  

(y – 0) = -1(x – (-1))  

y+x=-1………………(1)  

Similarly, for AC  

Mid point of AC = (\frac{2+2}{2},\frac{3-3}{2})=(2,0)

Slope of AC = \frac{-3-3}{2-2}=\frac{-6}{0}  

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of the perpendicular bisector = 0  

Equation of AC with slope 0 and the coordinates (2,0) is,  

(y – 0) = 0(x – 2)  

y=0 ………………(2)  

By solving equation (1) and (2),  

put y=0 in equation (1)

y+x=-1

0+x=-1

⇒x=-1  

So the circumcenter(P)= (-1,0)

To find the orthocenter we solve the intersections of altitudes.

We solve for line AB and BC

So, mid point of AB =(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)

Slope of AB =\frac{-3-3}{-4-2}=1

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of CF = -1  

Equation of AB with slope -1 and the coordinates (-1,0) gives equation CF  

(y – 0) = -1(x – (-1))  

y+x=-1………………(3)  

Similarly, mid point of BC =(\frac{-4+2}{2},\frac{-3-3}{2})=(-1,-3)

Slope of AB =\frac{-3+3}{-4-2}=0

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of AD = 0

Equation of AB with slope 0 and the coordinates (-1,-3) gives equation AD

(y-(-3)) = 0(x – (-1))  

y+3=0

y=-3………………(4)  

Solve equation (3) and (4),

Put y=-3 in equation (3)

y+x=-1

-3+x=-1

x=2

Therefore, orthocenter(O)= (2,-3)


7 0
3 years ago
Which function has a greater rate of change? explain.
timama [110]

Answer:

a

Step-by-step explanation:

a has a greater rate of change because all the numbers make sense to the problematic function :)

3 0
2 years ago
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Simplify the fraction 20/41
melomori [17]

Answer:

20/41 (it can't be reduced or simplified)

Step-by-step explanation:

41 is a prime number hence cannot be divided by anything.

Therefore, 20/41 simplified is still 20/41 and in decimal format is 0.488(3 d.p)

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