Answer:
yes, they are proportional
Step-by-step explanation:
A proportion is a relation that can be modeled by a straight line through the origin. The equation will have the form ...
y = kx
where x is the independent variable, y is the dependent variable, and k is a constant of proportionality.
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If you start with the equation relating distance, rate, and time:
d = rt
and you fix the time at 50 seconds, then the equation becomes ...
d = 50t
This is the equation of a proportion with a constant of proportionality of 50. It tells you the distance run is proportional to the rate you run. When this equation is graphed, it is a straight line through the origin.
Add All The Numbers (Which Gives You 19.43) Then Divide By Four Because There Are Four Numbers That Were Added Together. The Average Is 4.8575.
Answer:
From the given graph:
the coordinates of triangle RST are;
R= (2, 1),
S= (2,-2),
T= (-1,-2)
Given: Scale factor = 
and center of dilation at (2,2)
The mapping rule for the dilation applied to the triangle as shown below:
; where k represents the scale factor i.e, 
or we can write it as ;
For R=(2, 1)
The image R' = 
⇒ R'= 
Similarly for S= (2, -2) and T= (-1,-2)
therefore, the image of S'= 
⇒ S'= 
The image of T' =
⇒T' = 
Now, labelling the image of triangle R'S'T' as shown in the figure given below
Answer:
The number of goats in the farm is 
The number of sheep in the farm is 
Step-by-step explanation:
Let
x----> the number of goats in the farm
y----> the number of sheep
we know that
----> equation A
-----> equation B
substitute the equation B in equation A and solve for y
Find the value of x
therefore
The number of goats in the farm is
The number of sheep in the farm is
Step-by-step explanation:
2112 + 2212 + 2312 / 4 leaves no remainder, as already the individual numbers could be divided by 4 without remainder.
2113 = 2112 + 1
2213 = 2212 + 1
so, we get a remainder of +1 and +1 for these 2 numbers, so we get in total a remainder of +2.
