Answer:
The equation
represents the equation of the parabola with focus (-3, 3) and directrix y = 7.
Step-by-step explanation:
To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).
Using the distance formula
, we find that the distance between (x, y) is

and the distance between (x, y) and the directrix y = 7 is
.
On the parabola, these distances are equal so, we solve for y:

Answer:I think it would be $9
Step-by-step explanation:
50% of 20 is $10
10% of $10 is $1
Subtract 1 from 10, which gives you $9
Answer:
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
From the information given
T = 8 months = 8/12 = 2/3 years
P = $3000
R = 9.3%
Therefore
I = (3000 × 9.3 × 2/3)/100
I = 18600/100
I = $186
The maturity value (in dollars) of this loan would be
3000 + 186 = $3186
Answer:
3x + 2y = 38, 3a + 2b = 38
Step-by-step explanation:
An equation may be defined as a statement that shows two mathematical expressions to be equal. It is to equate one thing to another thing.
In the context, two different equations for the situations are :
i). Let the shirt be represented by x
And the socks be represented by y
Therefore, according to the question,
3x + 2y = 38
ii). Let the shirt be represented by a
And the socks be represented by b
Therefore, according to the question,
3a + 2b = 38
Log16 4 = 2
log base 16 then the number four then set that equal to 2