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Rch64
08.07.2019 •
Mathematics
Find the area between the line and the two axes.x - 2y = -6
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Ответ:
We are given an equation of line x - 2y = -6.
We need to find the area between the line and the two axes.
In order to find the area, we need to graph the triangle first.
Let us find x and y-intercepts of the graph to graph it on coordinates axes.
In order to find x-intercept, we need to plug y=0.
Plugging y=0 in given equation, we get
x-2(0) =-6.
x-0=-6.
x=-6.
So, x-intercept = -6.
In order to find y-intercept, we need to plug x=0.
Plugging x=0 in given equation, we get
0-2y=-6.
-2y=-6.
Dividing both sides by -2, we get
y=3.
So, y-intercept is =3.
Let us graph now.
We can see from the graph, base of the triangle = 6 units and height of the triangle=3 units.
We know formula for area of a triangle.
Area =![\frac{1}{2} Base * Height](/tpl/images/0067/3335/9366f.png)
Plugging values of base =6 and height =3 in above formula, we get
Area =![\frac{1}{2} * 6 * 3](/tpl/images/0067/3335/990ea.png)
=![\frac{18}{2}](/tpl/images/0067/3335/cf7ae.png)
= 9 square units.
Therefore, area between the line x - 2y = -6 and the two axes is 9 square units.
Ответ:
200/2=100
200+100=300
300/2=150
300+150=450
450/2=225
450+225=675
So it took 3 months for the elephant to weigh 675 pounds.
Hope I helped.