We get the value of h and k as 9 and -8
The quadratic function g(x) = a(x - h)^2 + k, if a is not equal to 0,which means that equation has a quadratic value then it is said to be in standard quadratic form.
If a is positive, then the graph opens upwards,
If a is negative, then it opens downwards.
The line of symmetry of the quadratic equation is the vertical line x = h, and the co-ordinate of the point of vertex is (h,k).
We are given the co-ordinate of the vertex point in the question and hence all that is required is to equate it.
Therefore, the values of h and k are 9 and -8 in the given equation in vertex form
You can learn more about quadratic equation in standard form here:
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Answer:
22cm by 6cm
Step-by-step explanation:
Width = x
Length = 3x + 4
x + x + 3x + 3x + 4 + 4 = 8x + 8
Perimeter = (8x + 8) cm
56 - 8 = 48cm
48/8 = 6
6 = x
Width = 6cm
Length = 22cm
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Answer:
Step-by-step explanation:
Shelly made 7 sales during today
She made fifty dollars then sold 7 things which gave her 35 dollars to get 85 dollars
Answer:
1)x=-6,y=1 2)a=0,b=-8 3)j=8,k=1 4)m=3,n=-6
Step-by-step explanation:
1)x-4y=-10,2x+y=-11
x-4y=-10
x=4y-10
2\left(4y-10\right)+y=-11
8y-20+y=-11
9y-20=-11
9y=9
y=1
x=4-10
x=-6
x=-6,y=1
2)a-3b=24,a+2b=-16
a-3b=24
a=3b+24
3b+24+2b=-16
5b+24=-16
5b=-40
b=-8
a=3\left(-8\right)+24
a=-24+24
a=0
a=0,b=-8
3)k-j=-7
4j-5k=27,-j+k=-7
4j-5k=27
4j=5k+27
j=\frac{1}{4}\left(5k+27\right)
j=\frac{5}{4}k+\frac{27}{4}
-\left(\frac{5}{4}k+\frac{27}{4}\right)+k=-7
-\frac{1}{4}k-\frac{27}{4}=-7
-\frac{1}{4}k=-\frac{1}{4}
k=1
j=\frac{5+27}{4}
j=8
j=8,k=1
4)m+n=-3,m-4n=27
m+n=-3
m=-n-3
-n-3-4n=27
-5n=30
n=-6
m=-\left(-6\right)-3
m=6-3
m=3
m=3,n=-6
