In ΔABC, D and E are the midpoints of AB and AC respectively. We know that the ratio of areas of two similar triangles is equal to the ratio of square of their corresponding sides. Hence, the ratio of the areas ΔADE and ΔABC is ar(ΔADE) : ar(ΔABC) = 1 : 4.
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation ( or direct variation) if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have the point (6,-2)
so
Find the constant of proportionality k
Simplify
therefore
The equation of the direct variation is
First one is infinitely many solutions
second one is one solution
third one is infinitely many solutions
hope this helps !
Answer:
X=-5
Step-by-step explanation:
Since anything divided by one is still that number, then (x-7)/1 becomes x-7. So our equation now looks like:
(X-19)/2=(x-7).
Multiplying both sides by 2, we get
X-19=2x-14
Adding 19 to both sides:
X=2x+5
Subtract 2x from both sides:
-x=5
Multiplying both sides by -1, we get:
X=-5
v (t) = 1/10 (3t-8) ^ 3 + 2
For this case, what you should keep in mind is that you can use any computational tool to graph this function.
You can use for example excel, or wolfram alpha.
Just keep in mind that:
Dependent variable: v (t)
Independent variable: t
Answer:
See attached image for the graphic.