Line segment from (-10,-3) to (1,7)
a ratio of 2 to 3 means that the line segment is divided into 5 equal pieces
let (x,y) be 2/5 of the way from (-10,-3) to (1,7)
what is the distance of the segment ?
use the distance formula to find the distance of the segment
√(11^2+10^2)=√221
-10 to 1 is 11 units, 2/5(11)=4.4
-3 to 7 is 10 units, 2/5(10)=4
-10+4.4=-5.6
-3+4=1
the point is (-5.6,1)
check:
find the distance from (-10,-3) to (-5.6,1)
find the distance from (-5.6,1) to (1,7)
these distances should add up to √221
first distance:√[(4.4^2)+4^2]=√35.36
second distance:√[(6.6^2)+6^2]=√79.56
√35.56+√79.56=√221
5.946+8.919=14.866
14.865≈14.866
Answer:
exponential: y = 2^(-x)
Step-by-step explanation:
The y-differences are not constant, and the x-y products are not constant. For each increase in x, y is divided by 2, so this is a geometric sequence that can be described by an exponential model. The common factor is 1/2.
A simple way to write the model for this is ...
y = 2^(-x)
Answer:
27.5
Step-by-step explanation:
First you divide up the shape so there is a square and a triangle. Then you would solve for a square: 5 times 4 and you get 20. Then the triangle which you would do 8-5=3 (so you can get the base) and do 3*5/2= 7.5. Then add the two answers
4/3
40/30
60/45
Simply multiply or divide both the 20 and the 15 to get an equivalent ratio.
