The first one is false! An exponent must be greater than 1 to show exponential growth. The next 3 are TRUE! From 0 to 1, the exponent will show decay. An exponential function make some sort of parabola shape and NOT a straight line. And for y=2x, just plug in your given points (x,y) so: 6=2(3) which means 6=6, and that is true
Answer:
A
Step-by-step explanation:
Answer:
Coordinate of E:(-2,3) Coordinate of G: (2.5,1.5)
Parallel: slopes both = -1/3
1/2 segment: EG length= 3 BC length=6: This is the only one I'm not sure about.
I will show the work for both the problems down below.
Step-by-step explanation:
Finding coordinates:
1+(-5)/2=-2 5+1/2=3
(-2,3)
1+4/2= 2.5 5+(-2)/2= 1.5
(2.5,1.5)
Show work verifying the EG and BC are parallel:
You can do this by finding the slope
Slop formula (y2-y1)/(x2-x1)
(1.5-3)/(2.5-(-2))
Then simplify
-1.5/2/5= -1/3 which i your slope. You use the same formula and follow thee same steps for the points of BC and both will come up as -1/4 meaning they are parallel.
Show work verifying that EG and BC are parallel:
Use distance formula to find how long each line is
√(x2-x1)^2+(y2-y1)^2
√(2.5-(-2)^2)+(1.5-3)^2
Simplify
√4.5+(1.5)=3
Do the same thing with BC and you will get 6
Since both the length and the width are tripled, the area will be nine times larger. To counter this, divide by nine. 108/9=12 Divide this by 2 to get one length and one width. You get 6. 1+5=6 and 1 is 4 smaller than 5, so the width of this rectangle is 1 cm and the length is 5 cm.
