Which proportion can be used to show that the slope of AC is equal to the slope of CE?

Mathematics

1 answer:

Gnesinka [82]1 year ago

5 0

Slope is given by the expression:

$m=\frac{y_2-y_1}{x_2-x_1}$

We can equal both slopes of mAC and mCE

$\begin{gathered} \frac{3-6}{-1-(-3)}=\frac{-3-3}{3-(-1)} \\ \\ \frac{-3}{2}=-\frac{6}{4} \\ -\frac{3}{2}=-\frac{3}{2} \end{gathered}$

Answer is B.

You might be interested in

Community Gym charges a $60 membership fee and a $60 monthly fee. Workout Gym charges a $200 membership fee and a $50 monthly fe

Kitty [74]

Answer:

14 months

Step-by-step explanation:

60x+60=50x+200

10x+60=200

10x=140

x=14

60(14)+60=900

50(14)+200=900

8 0

3 years ago

Pls helpppppp meeee<br> im so confused

Elodia [21]

Answers:

11. u = {0, 1/3}

12. n = {-4, 0}

13. s = {-5, 0}

Please don’t forget to leave a thanks

6 0

2 years ago

Hi guys can you please help me with this test.

Anika [276]

Sure! but unfortunately the picture is blank. not sure if it’s just my screen

4 0

3 years ago

Can somebody please show me how to do this problem

tia_tia [17]

Answer:

g(20) > f(20)
g(x) exceeds f(x) for any x > 4

Step-by-step explanation:

As with most graphing problems not involving straight lines, it works well to start with a table of values. Pick a few values of x and compute f(x) and g(x) for those values. Plot the points and draw a smooth curve through them.

As in the attached, your table will show that there are two points of intersection between f(x) and g(x), and that for values of x more than 4, g(x) becomes much greater very quickly. Both curves rapidly reach the top of your graph space.

To find whether f(20) or g(20) is greater, you can evaluate the functions for that value of x.

f(20) = 20² = 400

g(20) = 2²⁰ = 1,048,576

Clearly, g(20) has a greater value.