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Zinaida [17]
3 years ago
6

Find the midpoint of the segment with the given endpoints. ​4 and 11 ​

Mathematics
2 answers:
Charra [1.4K]3 years ago
8 0

Answer:

The end points are given as 4 and 11

Sum = 11 + 4

Number of observations = 2

= 15 / 2

= 7.5 is the midpoint

Step-by-step explanation:

brilliants [131]3 years ago
4 0

Hey there!!

How do we find the midpoint?

We take the average , the average is =

Sum of the observations / total number of observations

The end points are given as 4 and 11

Sum = 11 + 4

Number of observations = 2

= 15 / 2

= 7.5 is the midpoint

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8 0
2 years ago
(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?
dmitriy555 [2]

Zeroes:

We must solve

x^4-45x^2+324=0

To do so, we define the auxiliary variable t=x^2. The equation becomes

t^2-45t+324=0

The quadratic formula yields the solutions

t=9,\quad t=36

Substituting back t=x^2 gives

x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x

If we set the derivative to be zero, we have

4x^3-90x=0 \iff x(4x^2-90)=0

So, the derivative is zero if x=0 or

4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}

6 0
3 years ago
What is the area of the triangle in centimeters squared?
MrRissso [65]

Answer:

18

Step-by-step explanation:

5 0
2 years ago
Will give brainliest! Please explain how I solve the ratio 16/32=12/24
goldenfox [79]

To solve, simply simplify each fraction

(16/32)/(16/16) = 1/2

(12/24)/(12/12) = 1/2

True, the equation given to us is true.

hope this helps

8 0
3 years ago
Read 2 more answers
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