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bearhunter [10]
3 years ago
9

Write two inequalities to compare -2 and -18

Mathematics
1 answer:
QveST [7]3 years ago
8 0

Step-by-step explanation:

here's the answer to your question

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} 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 d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
In January, Music Marathon priced all the compact discs (CD’s) at $20. In February, these same CD’s were discounted 50% and in M
skad [1K]

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

3 0
3 years ago
I don't care about getting the answers but rather a step-by-step explanation for this problem: A simple interest, 8-month loan o
alisha [4.7K]

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

7 0
3 years ago
Write two different equations to describe each situation. a) You buy 3 identical shirts and 2 identical pairs of socks and spend
Ronch [10]

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

7 0
3 years ago
How do i write log 4^2=16 in logarithmic form
ohaa [14]
Log16 4 = 2      
log base 16 then the number four then set that equal to 2        

7 0
3 years ago
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