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azamat
3 years ago
5

the davis family pays 200,oo for anew house. they make a down payment that is 1/10 of the price of the house

Mathematics
1 answer:
sammy [17]3 years ago
7 0
200 / 1/10 = 20

10 is a whole, equaling 100%

1 out of 10 equals to 10%

1/10 of 200.00 is $20.

The down payment on the house is $20.

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The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
OleMash [197]

Answer:

The equation of the parabola is y = -12\cdot x^{2}.

Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)

V(x,y) = (0, 0)

The vertex factor (p) is the distance of the focus with respect to the vertex:

p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]} (2)

If we know that F(x,y) = (0, -3) and V(x,y) = (0, 0), then the vertex factor is:

p = \sqrt{0^{2}+(-3)^{2}}

p = -3

The equation of the parabola in the vertex form is described below:

y - k = 4\cdot p \cdot (x-h)^{2} (3)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the vertex.

If we know that (h,k) = (0, 0) and p = -3, then the equation of the parabola is y = -12\cdot x^{2}.

6 0
2 years ago
A) How many cups of energy drink does Jerome need to make?
Margaret [11]

Answer: You should take the 22÷8 and take 22÷3 and see what you get if that doesn’t help create a table chart or graph

Step-by-step explanation: I said divide 22 by 8 and 22 divide by 3 because that should give you the number that you need for each one

4 0
2 years ago
7.23<br><br> What is two and<br> four tenths in<br> standard form?
Andrej [43]

Answer:

2.4

Step-by-step explanation:

6 0
2 years ago
Mustafa buys a book that costs $12.50 if the sales tax is 8% what is the total cost of the book
wariber [46]
The total cost of the book would be:

12.50* 0.8= 10

The total cost of the book would be $10.00
7 0
3 years ago
Read 2 more answers
Ype the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
rewona [7]

Answer:

4/8 or 1/2

Step-by-step explanation:

Convert all size to x/8

1/4=2/8 and 1/2=4/8

Multiply size of beaker by how many there are filled

1/8 * 2= 2/8

2/8*7= 14/8

4/8*3 =12/8

then add all of them together = 28/8

convert 4 liters to 32/8

Subtract 32/8 - 28/8 = 4/8

4 0
2 years ago
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