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love history [14]
3 years ago
5

One endpoint of a line segment is at (2, 4). The line is bisected by placing the midpoint of the line segment at (7, 8). What ar

e the coordinates of the other endpoint?
A.(12, 12)
B.(9, 12)
C.(−4, −1)
D.(−3, 0)
Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

6 0
3 years ago
Read 2 more answers
Are these fractions equivalent or nonequivalent?<br> 4x/7y 8x/14y
ivann1987 [24]

Answer:

\frac{8x}{14y}  =  \frac{ \frac{8x}{2} }{ \frac{14y}{2} }  =  \frac{4x}{7y}  \\

Hence, they are equivalent.

6 0
3 years ago
what is the equation in slope intercept form of the line that passes through the point (-4,47) and (2,-16)
Vilka [71]

The slope-intercept form:

y=mx+b

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, 47) and (2, -16). Substitute:

m=\dfrac{-16-47}{2-(-4)}=\dfrac{-63}{6}=-\dfrac{63:3}{6:3}=-\dfrac{21}{2}

Therefore we have:

y=-\dfrac{21}{2}x+b

Put the coordinates of the point (2, -16) to the equation:

-16=-\dfrac{21}{2}(2)+b\\\\-16=-21+b\qquad\text{add 21 from both sides}\\\\5=b\to b=5

Answer: \boxed{y=-\dfrac{21}{2}x+5}

6 0
3 years ago
I am having trouble with number 2. Please show how the answer was gotten.
Andrews [41]

We know how we got 90, since a right angle is 90 degrees,

180 degrees are in a triangle.

180-90=90

Find the pair that equals 90 so you get 180 degrees!

If you have more questions don’t have hesitation to ask!

Or add all number to get 180 degrees!

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3 years ago
Twice the sum of a number and 7 is equal to three times the difference of the number and 4
Studentka2010 [4]
13 is the number your welcome
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3 years ago
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