(-4,-3)(12,1)
slope(m) = (1 - (-3) / (12 - (-4)
slope(m) = (1 + 3) / (12 + 4)
slope(m) = 4/16 = 1/4
y - y1 = m(x - x1)...using (12,1)
y - 1 = 1/4(x - 12)
y - 1 = 1/4x - 3
y = 1/4x - 3 + 1
y = 1/4x - 2
-1/4x + y = -2...multiply by -4
x - 4y = 8 <=== here it is
Answer:
n =2
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
The money is compounded every 6 months.
n is the number of times that interest is compounded per year.
Each 6 months means 12/6 = twice a year. So n =2..
Answer:
The answer is "
".
Step-by-step explanation:
Let add equation 1 and 2:
Using formula:
convert to polar coordinates
Answer:
The area of ABCF is 2 and 2 × AB = 4
The statement proves that the conjecture is false
Step-by-step explanation:
A conjecture is a proposition or conclusion that is presumed to be true or correct but which is based on incomplete details or information
Given the length of the sides of rectangle ABDE, we have;
Length AB = 2 units
Length DE = 2 units
The area of ABDE = 2 × 2 = 4 unit²
Therefore, the area of the rectangle ABDE is equal to 2 × the length of either AB or DE
However, the are of rectangle ABCF = 2 × 1 = 2 unit²
While the area of rectangle 2 × the length of side AB = 2 × 2 = 4 unit², which is not equal to the number of square units in the area of the rectangle.
Therefore;
The area of ABCF is 2 and 2 × AB = 4
The statement (above) proves that the conjecture is false.
<h3>
Answer:</h3>
270 minutes
<h3>
Step-by-step explanation:</h3>
(60 minutes/hour) × (4.5 hours) = 270 minutes
