Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
C. 3/2 divided by 3
Alina has 3/2 hours to complete her homework. She should divide her 3/2 hours by the 3 assignments to determine how much time she will spend on each assignment. This turns out to be 1/2 hours, or 30 minutes, on each assignment. 3/2 hours is the same thing as 90 minutes, so this answer makes sense. We want the time to be divided by the number of assignments, not vice versa.
The correct answer to this is “True”.
Symmetry signifies balance and form. An object with
rotational symmetry will still look the same after a rotation. Since it maintains
its shape and figure after being rotated, therefore its characteristics such as
length of the diagonals, the angles of each corner, or parallelism of opposite
sides will remain the same.
Answer:
850.
Step-by-step explanation:
Let the number at the start be x shoes. Then:
x - 50 - 0.64(x - 50) = 288
x - 0.64x - 50 + 32 = 288
0.36x = 288 + 50 - 32
0.36x = 306
x = 306/0.36 = 850.
Question: What is 16% of 80?
You have to change the percentage to a decimal.
Remove the percentage sign and divide by 100 (% are based off 100)
16%⇒.16
Now multiply .16 and 80
Answer: 12.8
