Answer:
(f + g)(x) = 3x^2 + 3x/2 - 9
Step-by-step explanation:
In order to find a composite function through addition, you simply add the two equations together.
f(x) + g(x)
x/2 - 3 + 3x^2 + x - 6
3x^2 + 3x/2 - 9
<u>Given</u>:
Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.
The length of TU is (y - 2).
The length of UV is 8.
The length of SW is (y + 4)
The length of WV is 6.
We need to determine the length of line segment SV.
<u>Value of y:</u>
The value of y can be determined using the intersecting secant theorem.
Applying, the theorem, we get;

Substituting the values, we have;






Thus, the value of y is 6.
<u>Length of SV:</u>
The length of SV is given by




Thus, the length of SV is 16 units.
Hence, Option D is the correct answer.
Answer:
Yes; the compass was kept at the same width to create the arcs for points C and D.
Step-by-step explanation:
When bisecting a segment by hand the steps are:
-Place the compass on one of the endpoints and open the compass to a distance more than halfway across the segment.
-Swing an arc on either side of the segment.
-Keeping the compass at the same width, place the compass on the other endpoint and swing arcs on either side so that they intersect the first two arcs created.
-Mark the intersection points of the arcs and draw a line through those two points.
-The point where this new line crosses the given segment is the midpoint and divides the segment in half.
Its not b because segment c and d was created when you marked the intersection points of the arcs and just drew a line through those two points; They didn't use a straightedge. its not C because this does demonstrate how to bisect a segment by hand, Also the compass was kept at the same width to create the arcs for points C and D. Its not D because this does demonstrate how to bisect a segment by hand, Also a straightedge was not used to create segment CD.
Answer:
The ladder is 28.6 feet long.
Step-by-step explanation:
Given that:
Length of base = 17 feet
Length above the ground = 23 feet
These forms two legs of right angled triangle.
The length of ladder will be the hypotenuse.
Using Pythagorean theorem;

Taking square root on both sides

Hence,
The ladder is 28.6 feet long.
Answer:
(2,10)
Step-by-step explanation:
4 to 6 is 2 and 10 to 20 is 10 therfore you get 2 and 10