Answer:
Step-by-step explanation:
For this case we have these two functions:
(1)
(2)
And as we can see we have the figure attached.
For this case we select the x axis in order to calculate the area.
If we solve y from equation (1) and (2) we got:
Now we can solve for the intersection points:
And the solutions are
So then we have in total 3 intersection point
And we can find the area between the two curves separating the total area like this:
We can separate the integrals like this:
For this integral we can use the u substitution with and after apply and solve the integral we got:
The other integral:
And for the other integral:
We can use the same substitution and after replace and solve the integral we got:
So then the final area would be given adding the 3 results as following:
Answer:
Reflected over the x-axis and rotated 180 degrees
Tan(34) = a/700
a = 700*tan(34) =472.155 so 472
The smaller triangle has a ratio of 11 : 10.
The smaller triangle and the larger triangle should have the same ratio.
The total of the left side of the larger triangle is 132cm
The ratio of the larger triangle is:
132 : (5x + 10) + 10
132 = 5x + 20
If you multiply the 11 : 10 ratio by 12, you get:
132 : 120
Since you know the other side should equal 120, to find x you do:
5x + 20 = 120
5x = 100
x = 20
Answer:
y - 2x = 3
Step-by-step explanation:
Use the point-slope formula y - k = m(x - h), with h = 0, k = 3 and m = 2:
y - 3 = 2(x - 0), or
y - 3 = 2x, or
y - 2x = 3
Note that the given point, (0, 3), is the y-intercept of this line, and so we immediately know b in y = mx + b: it is 3.