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yuradex [85]
3 years ago
11

What are the coordinates of the midpoint of the line segment with the endpoints (2,-5) and (8,3)

Mathematics
1 answer:
Papessa [141]3 years ago
7 0
  • Midpoint Formula: (\frac{x_2+x_1}{2} ,\frac{y_2+y_1}{2} )

Plug the coordinates into the midpoint formula and solve as such:

(\frac{2+8}{2} ,\frac{-5+3}{2} )\\\\(\frac{10}{2} ,\frac{-2}{2} )\\\\(5,-1)

<u>Your midpoint is (5,-1).</u>

You might be interested in
What are the x and y intercepts of f(x) = x2-x-12/x2+5x+6 and is there a hole? ​
stiv31 [10]

Answer:

There are no holes. The VAs are x=4 & x=-4  the HA is  x=2 the x intercepts are  (-3,0) & (3,0)  and the y intercept is (0,9/8).

Step-by-step explanation:

Given  f ( x ) =2 x ^2 − 18/x^2-16

find all asymptotes, holes and intercepts.

Factor the numerator and denominator.

f ( x ) =2 ( x ^2 − 9 )/( x + 4 ) ( x − 4 )

f ( x ) =2 ( x +3 ) ( x − 3 )/( x + 4 ) ( x − 4 )

A hole exists when the numerator and denominator contain the same factor (a factor "cancels out"). This function has no holes.

To find the vertical asymptote(s) (VA), find the values of  x

which make the denominator equal zero. The function is undefined at these values of  x

because you cannot divide by zero.

Set each factor of the denominator equal to zero and solve.

x + 4 = 0  and x − 4 = 0

x = − 4  and  x = 4

These are the VAs.

To find the horizontal asymptote(HA), compare the degree of the numerator and denominator. If the degrees are the same, the HA is the ratio of the leading coefficients.

For  f ( x) =2 x ^2 − 18/x^2-16

the degree in both numerator and denominator is  2

and the ratio of the leading coefficients is 2/1=1

The HA is  x = 2

The  x  intercept is the value at which the function (or "y") equals zero. If the numerator is zero, the function equals zero.

2 ( x + 3 ) ( x − 3 ) = 0

x + 3 = 0    x − 3 = 0

x = − 3   and  x = − 3

The  x  intercepts are  ( − 3 , 0 )  and  ( 3 , 0 ) .

The  y  intercepts are found by setting  x = 0 .

f ( 0 ) = 2 ( 0 ) ^2 − 18/( 0 )^2 − 16 = 9 /8

The  y  intercept is  ( 0 , 9/ 8 ) .

graph{(2x^2-18)/(x^2-16) [-10.04, 9.96, -3.56, 6.44]}

HOPE THIS HELPS YOU!!!!

        =)

4 0
3 years ago
How many 5/8s are in 3?
stira [4]
I believe it to be 4 because 3=24/8

So 5/8 + 5/8 = 10/8 + 5/8 = 15/8 + 5/8 = 20/8 + 5/8 = 25/8, which is the closest number to 3
4 0
3 years ago
Is anyone good at geometry???
zhenek [66]
Hey there Smarty!

This would be considered to be a (acute angel) which in this case, we would have to make sure that this whole triangle would equal less than 270 because each angle would be less than 90°

If we add/multiply \boxed{(90+90+90) \ or \ (90*3) = 270}.

So, we would have to know that was ever this would all add up to be, this would have to be less than 270°

\left[\begin{array}{ccc}\boxed{\boxed{(2.5+5) \\ \\ (2.5*2.5) \\ (2.5-2) \\ (2.5-1) \\}} \\ \\ this \ would \ be \ why \ I \ would \ say \\ that \ this \ would \ be \ the \ answer \end{array}\right]

I truly hope this helps, and also, it's kind of my 
 first time doing this I hope this would be helpful.
~Jurgen
7 0
3 years ago
PQ is tangent to the circle at C. In the circle the measure of arc BC=85. Find the measure of angle BCP​
Savatey [412]

Answer:

85

Step-by-step explanation:

5 0
2 years ago
You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of
pashok25 [27]

Answer:

120;60

Step-by-step explanation:

The measure of an angle is equal to twice the measure of its supplement.

This means that x = 2(180-x)

<em>Simplify</em>

x = 360 -2x

<em>Isolate the variable</em>

3x = 360

x = 120

This makes its supplement 60

7 0
3 years ago
Read 2 more answers
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