Answer:
We can have two cases.
A quadratic function where the leading coefficient is larger than zero, in this case the arms of the graph will open up, and it will continue forever, so the maximum in this case is infinite.
A quadratic function where the leading coefficient is negative. In this case the arms of the graph will open down, then the maximum of the quadratic function coincides with the vertex of the function.
Where for a generic function:
y(x) = a*x^2 + b*x + c
The vertex is at:
x = -a/2b
and the maximum value is:
y(-a/2b)
Step-by-step explanation:
Find the Center and Radius (x-4)^2+y^2=4
(
x
−
4
)
2
+
y
2
=
4
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
2
h
=
4
k
=
0
The center of the circle is found at
(
h
,
k
)
.
Center:
(
4
Answer:
The constant of variation is 5
Step-by-step explanation:
We know direct variation is of the form
y = kx
We know y =25 and x=5
25 = k*5
Divide each side by 5
25/5 = 5k/5
5 = k
Answer:
1. 11t
2.7w+28
3. 2c+11
4. 8n
5. 10r+15
6. 24−8g
7. 17d−9
8. 8g+7z
9. 23b
10. 2rs+1
11. 9f+9g
12. 4x+y
13. 21a+14
14. 21a+14
15. 6−3k
16. 18n+36
17. 9s+3t
18. 8a−12b
19. 11m+n
20. 2+6z
21. 8x+6y
22. 7hg−7
23. 4st+5
24. 2r+17
25. 7w+6
26. 3(c+2)
27. 8f−4g
28. 2+8q+3r
Step-by-step explanation:
there you go, sorry it took so long
Answer:
see explanation
Step-by-step explanation:
Since BD bisects ∠ ABC , then
∠ ABD = ∠ DBC , substitute values
3x + 4 = 55 ( subtract 4 from both sides )
3x = 51 ( divide both sides by 3 )
x = 17
