Answer:
y² - (K- 2)y + 2k +1 = 0
equal roots means D=0
D= b^2 - 4ac
a=1, b= (k-2), c= 2k+1
so,
(k-2)^2 - 4(1)(2k+1) = 0
=> k^2 +4 - 8k -4 = 0
=> k^2 -8k = 0
=> k^2 = 8k
=> k= 8k/k
=> k = 8
Therefore the answer is k= 8
Hope it helps........
Answer:
or y = 0.25x + 0.5
Step-by-step explanation:
You need to try change the subject from x to y.
x = 4y - 2
We first move -2 to the left, making the equation
x + 2 = 4y i.e.
4y = x + 2
We then divide both sides by 4.
or y = 0.25x + 0.5
We now have successfully made y the subject, and effectively solving the equation.
What multiplied by (x-4) would make x2+5x-36
Answer:
Area of the dilation = 10.8 square inches
Step-by-step explanation:
Given the original dimension
Length = 12inches
Width = 10inches
If they are dilated by a factor of 0.3
New length = 0.3 * 12 = 3.6in
New width = 0.3 * 10 = 3in
Area of the dilation = 3.6 * 3
Area of the dilation = 10.8 square inches
Answer: The cost of 5.5 pounds strawberries =$ 7.98
Step-by-step explanation:
Given: A local grocery story has strawberries on sale for $1.45 per pound.
i.e. Cost for 1 pound strawberries = $1.45
Now, Cost of 5.5 pounds strawberries = 5.5 x (Cost for 1 pound strawberries)
= $ (5.5 x 1.45)
= $ 7.975 ≈ $ 7.98 [ Round to the nearest penny]
Hence, the cost of 5.5 pounds strawberries =$ 7.98
