Find the value of p and the value of q
Good evening ,
Answer:
x²-9x+12 = (x - (9/2))²- (33/4)
Step-by-step explanation:
Look at the photo below for the details.
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In order to find the variables p and q in the equation x^2 - 9x + 12 = (x-p)^2 - q, we first complete the square on the left-hand side which leads us to determine that p=4.5 and q=32.25.
The original equation given is x^2 - 9x + 12 = (x-p)^2 - q. To find the values of p and q, we need to rewrite the left-hand side of the equation in the format of (x-p)^2. This can be done through a process known as completing the square. Looking at the equation x^2 - 9x + 12, we have a perfect square x^2 - 9x + (9/2)^2 = (x-4.5)^2. However, remember, we added (9/2)^2 to both sides, so we have (x-4.5)^2 = x^2 - 9x + 12 + 20.25. Simplifying, (x-4.5)^2 = x^2 - 9x + 32.25, which is our original equation format. Thus, p=4.5 and q=32.25.
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The lengths of the diagonals are 16 and 48 feet.
To find the area of a kite, you multiply the lengths of the diagonals by each other and divide by 2.
All we need to do is fill in the information in the formula and solve for the missing side.
A = pq/2
384 = (x(3x))/2
768 = 3x^2
256 = x^2
16 = x
Now, just multiply this diagonal of 16 by 3 to find the other diagonal of 48.
To learn more about the area visit:
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Answer:
9.81*106
Step-by-step explanation:
Answer: x=-2
Step-by-step explanation:
addition property of equality is adding the same number to both sides of an equation does not change the equation.
distributive property: a(b+c)=ab+ac
add 3 both sides of an equation.
6x-3+3=3x-9+3
simplify an equation
6x=3x-6
subtract 3x both sides of an equation
6x-3x=3x-6-3x
simplify
3x=-6
divide 3 both sides of an equation
3x/3=-6/3
simplify
-6/3=-2
the answer should be the negative sign.
x=-2
Hope this helps!
Thanks!