What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
1 answer:
Answer:
The answer is "GK=37, GH=14, and JK=19 ".
Step-by-step explanation:
In the question, an attachment file is missing.so, please find its attached file.
Given values:
GJ=4x+2
HK=6x-1
GK =37
Find:
HJ=?
GK = GJ+JK
= GJ+(HK-HJ)
= 4x+2+((6x-1)-x)
= 4x+2+6x-1-x
=
9x+1...(a)
Solve equation (a) and put the value of x in the equation:
=9(4)+1
=36+1
=37
find GH and JK=?
Given:
GK=37
Formula:
GH = GJ-HJ
= 4x+2- x
= 3x+2....(b)
Solve equation (a):
GK= 9x+1
37=9x+1
36=9x
x=4....(c)
put the value of equation (b) in equation (c)
GH = 3x+2
= 3(4)+2
= 12+2
= 14
Formula:
JK= HK-HJ
= 6x-1- x
= 5x-1
put the value of x in the above equation:
= 5(4)-1
= 20-1
=19
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9514 1404 393
Answer:
(5, 6) is (h, k)
Step-by-step explanation:
Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).
Parent:
f(x) = x^2
Transformed:
f(x) = a(x -h)^2 +k
__
When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...
- a = 2
- -h = -5 ⇒ h = 5
- k = 6
Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.
