Answer:
See answers and explanations
Step-by-step explanation:
A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0
B) Since the discriminant is 0, this means the equation only has one root.
C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)
Answer:
h≈1.43
Step-by-step explanation:
Simply ,Square the radius, and then divide the radius squared into the tripled volume. For this example, the radius is 2. The square of 2 is 4, and 300 divided by 4 is 75. Divide the amount calculated in Step 2 by pi, which is an unending math constant that begins 3.14, to calculate the cone's height.
Answer:
The correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles
Step-by-step explanation:
In triangle ABD:
∠B = ∠D
Thus AB=AC by the property of opposite sides of equal angles are equal
In triangle CBD
∠B = ∠D
Thus CB=CD by the property of opposite sides of equal angles are equal
Thus all four sides of quadrilateral ABCD are equal
And diagonal BD bisects the angles
So, it is a rhombus
Therefore the correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles....
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Price of home = $220,000
Down payment = 20%
3 points at closing
30 years fixed rate mortgage at 7%
A.)The down payment :
20% of price
0.2 × $220,000 = $44,000
B.) Amount of the Mortgage :
Price - down payment
$220,000 - $44,000 = $176,000
C.) Amount to be paid for the 3 point of closing :
3% of mortgage amount
0.03 * $176,000 = $5,280
D.) monthly payment :
(mortgage amount(1 + rate)) / 30* 12
176000(1 + 0.07)
($176,000 + $12320) / 360
$523
E.) Total cost of interest :
0.07 * 176000 = $12,320
