<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°
Answer:
b=130
Step-by-step explanation:
b+(-43)=87
b+(-43+43)=87+43
b=130
Hope this helps. Have a great day, you amazing bean child.
(Yes you are now my bean child. Get over it)
Answer:
no
ijnijn
Step-by-step explanation:
Please express the eqn of the parab by <span>y = 2x^2. " ^ " indicates exponentiation.
Find the equation of the tangent line to </span>y = 2x^2 at (1,2):
dy/dx = 4x; now let x = 1. Thus, the slope of the TL at (1,2) is 4(1) = 4, and the eqn of the TL is y-2 = 4(x-1), or y-2 = 4x -4, or y = 4x -2.
To find the area bounded by the parabola, the line y = 4x-2 and the x-axis, we need to use horizontal strips and integrate with respect to y instead of to x.
The smallest y value will be 0 (this is the x-axis), and the largest will be 2 (this comes from the given point, (1,2) ).
Solve y = 2x^2 for x: x^2 = y/2, so that x = sqrt(y/2) for y = 0 to y = 2.
y+2
Solve y = 4x - 2 for x: 4x = y + 2, so that x = -------
4
Thus, the length of each horiz. strip of width dy is given by
(y+2)
------- - sqrt(y/2), since the first term represents the larger x-value and the
4 second term represents the smaller x-value.
Then the area is the integral from y=0 to y=2 of
(y+2)
[ -------- - sqrt(y/2) ] dy
4
Can you do this integration? If not, ask specific questions so that I could help you further.
Answer: First option.
Step-by-step explanation:
You need to remember that:
1. Complementary angles are defined as those angles whose sum is 90 degrees.
2. Adjacent angles are those angles that have a common side and a common vertex.
3. Vertical angles are defined as those angles that are opposite to each other and share the same vertex.
4. Supplementary angles are defined as those angles whose sum is 180 degrees.
In this case you can notice that the angle formed by the intersection of of the vertical line and the horizontal line measure 90 degrees. Therefore, if you add the angle 1 and the angle 2, you will get 90 degrees.
Based on the above you can conclue that the angles 1 and 2 are Complementary angles.