<u>Answer:
</u>
The vertex of the function 
is (h,k) = (3 , -1)
<u>Solution:
</u>
The vertex form of quadratic equation is generally given as,
Where h,k is the vertex of the parabola.
From question, given that 
.
we have to find the vertex of the function.
Let us first convert the given quadratic equation to vertex form (eqn 1)
By adding “9” on both sides of equation, we get
By using the identity 
,the right hand side of above equation becomes,
Now,the equation is of the vertex form.
By comparing with 
we get the values of (h,k)
a = 1; h = 3; k = -1
hence the vertex of the function is (h,k) = (3 , -1)
The equation of a circle with center (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2
A diameter of 18 means a radius of 9.
(x + 3)^2 + (y - 5)^2 = 81
Answer:
B. 9k^2 + 5k - 1
Step-by-step explanation:
4k^2 + 5k - 3 + 5k^2 + 2
= 4k^2 + 5k^2 + 5k - 3 + 2
= 9k^2 + 5k - 1
X=0+y6x−5y=23
6x=23+5yx=23+5y6
now sub x=23+5y6in x=0+ywe get23+5y6=0+ymultiple both side of the equation by 6..we get23+5y=6ynow we solve for y..23=6y−5yy=23now since we find y...we can find x..by by substituting y=23 in the 1st or 2nd equation...so, using equation 1x=0+yx=0+23x=23
Hopefully this helps :)
Answer:
3 cups of sugar
Step-by-step explanation:
you increase it as per ratio,in this case ratio is 1.5
