If you notice the picture below
the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it
so.. get the area of the trapezoid
then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh
then, subtract the triangle's area from the rectangle's area
and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area
namely the area of the trapezoid plus the rectangle's, minus the triangle's
1) The x-axis represents the energy (
), in joules. The y-axis represents the amplitude (
), in milimeters.
2) The curve depicts an <em>monotonous decrecent</em> rate of change.
3) The amplitude is directly proportional to the root square of the energy.
<h3>How to analyze a graph relationship between two variables</h3>
In this question we have a relationship between two variables, in which we must apply principles of <em>functional</em> analysis to respond three questions presented in the statement.
Now we proceed to answer the three questions below:
- <em>What is on the x-axis? The y-axis?</em> R/ The x-axis represents the energy (), in joules. The y-axis represents the amplitude (), in milimeters.
- <em>How would you describe the rate of change of the line?</em> R/ The curve depicts an <em>monotonous decrecent</em> rate of change, that is, the slope converges to zero when the energy tends to infinite.
- <em>What does this tell you about the relationship between amplitude and energy?</em> R/ The curve show a strong similarity with a function of the form
. Hence, the amplitude is directly proportional to the root square of the energy.
To learn more on functions, we kindly invite to check this verified question: brainly.com/question/12431044
Answer:
42
Step-by-step explanation:
Let x = the original number of bushes in garden A
Let x-9 = the original number of bushes in garden B
x-9-3=x-12 = bushes in garden B after transplanting 3
x+3 = bushes in garden A after transplanting 3
x+3=1.5(x-12)
x+3=1.5x-18
0.5x=21
x=42
There were 42 current bushes in garden A
It’s B
6x3=18
sqrt18 simplifies to sqrt9 x sqrt2
sqrt9 is 3 for 3sqrt2
Answer:
w = 7m
l =9 m
Step-by-step explanation:
Let w = width
l = w+2
A = l*w
63 = (w+2) * w
63 = w^2 +2w
Subtract 63 from each side
0 = w^2 +2w - 63
Factor
What 2 numbers multiply to -63 and add to 2
9*-7 = -63
9-7 = 2
0 = (w +9) ( w-7)
Using the zero product property
w+9 =0 w-7 =0
w = -9 w = 7
Since we cannot have a negative length
w=7
l =w+2 =7+2 = 9
