Answer:
C
Step-by-step explanation:
Given 2 secants intersect a circle from a point outside the circle, then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 10 + x) = 6(6 + 10 + x)
x(2x + 10) = 6(16 + x) ← distribute parenthesis on both sides
2x² + 10x = 96 + 6x ← subtract 96 + 6x from both sides
2x² + 4x - 96 = 0 ← in standard form
Divide through by 2
x² + 2x - 48 = 0 ← factor the left side
(x + 8)(x - 6) = 0
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
However x > 0 ⇒ x = 6 → C
Given that the roots of the equation x^2-6x+c=0 are 3+8i and 3-8i, the value of c can be obtained as follows;
taking x=3+8i and substituting it in our equation we get:
(3+8i)^2-6(3+8i)+c=0
-55+48i-18-48i+c=0
collecting the like terms we get:
-55-18+48i-48i+c=0
-73+c=0
c=73
the answer is c=73
Answer:
a=5, b=-2
Step-by-step explanation:
If you simplify the equation, you get:
3ax +6 -4x -4b - 11x - 14 = 0 =>
3ax - 15x -4b -8 = 0
group together x's and constants:
(3a-15)x -8 -4b = 0
To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2
Answer:
Part A: x0.50 + 3 = 18.50
Part B: x0.75 + 3 - x0.10 = 21
Part C: The equations from Part A and Part B differ because of the cost of plastic cup.
Step-by-step explanation:
Let x represent the number of cup of lemonade sold. Therefore, we have:
Part A:
This situation can be represented by the following equation:
x0.50 + 3 = 18.50
Part B:
This situation can be represented by the following equation:
x0.75 + 3 - x0.10 = 21
Part C:
The equations from Part A and Part B differ because of the cost of plastic cup.
For equation from Part A, revenue is the same as profit as Sydney does incur any cost to buy plastic cup before selling her lemonade.
For equation from Part B, revenue is different from profit because Daria has to incur the cost of plastic cup which $0.10 per cup of lemonade before selling her lemonade.
The statement is false as the sample is a few ATMs of the total ATMs in US.
<h3>What do you mean by ATM?</h3>
- An automated teller machine, or ATM, is a customized computer that makes it simple for bank account holders to manage their money. One can use it to print a statement of account activity or transactions, check account balances, withdraw or deposit money, and even buy stamps.
- Customers can carry out simple financial transactions using an automated teller machine (ATM), an electronic banking facility, without the assistance of a branch person or teller.
- With no assistance from the bank, withdraw money whenever you need to. The consumers' privacy is guaranteed. Rupee withdrawals are quicker than bank withdrawals and do not require standing in long lines. Since no bank employees are involved in the transaction, maintenance costs are lower.
- Two primary types of automated teller machines (ATMs) exist. One is a basic, straightforward device that lets you check your balance, change your PIN, obtain small statements, and get account notifications. The more sophisticated units offer possibilities for a line of credit and bill payment and cash or check deposits.
The sample is only 860 ATMs and not total ATMs in US thus, a sample of 860 ATMs have taken and conducted the survey.
Thus, the statement is false as the sample is a few ATMs of the total ATMs in US.
To learn more about ATMs, refer to:
brainly.com/question/27835947
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