Answer:
It is one-half the area of a rectangle with sides 2 units × 3 units.
Step-by-step explanation:
we have the coordinates of triangle ABC
A(4,5),B(5,2),C(3,2)
Plot the coordinates of triangle to better understand the problem
see the attached figure
step 1
Find the area of triangle ABC
The triangle ABC is an isosceles triangle `(AB=AC)
The area of triangle ABC is
we have
---> difference of the x-coordinates
---> difference of the y-coordinates
substitute
step 2
Find one-half the area of a rectangle with sides 2 units × 3 units
therefore
The area of triangle ABC is one-half the area of a rectangle with sides 2 units × 3 units
Y1-y2/x1-x2
5-2/3-(-6)=3/9
3/9=1/3 this is your slope.
now you onli pick one of the points you already have and plug it in y-y1=m(x-x1)
y-5=1/3(x-3)
y-5=1/3x-1
y=1/3x+4
9/10 is about 10/10 or 1 and 1/3 is about 0, so just add 1+0=0. Annie walked 1 mile yesterday.
Hope that helped:D
Answer: 603
<u>Step-by-step explanation:</u>
Average rate of change is the slope over the given interval.
Interval [7, 9] is between x = 7 and x = 9. Use the table to see that the coordinates are (7, 1852) and (9, 3878). Then use the slope formula:
Interval [4, 6] is between x = 4 and x = 6. Use the table to see that the coordinates are (4, 358) and (6, 1178). Then use the slope formula:
Next, find the difference between the slopes above:
[7, 9] - [4, 6]
= 1013 - 410
= 603