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VladimirAG [237]
3 years ago
7

Which of the following equations describes the set of all points (x, y) that are equidistant from the x-axis and the point (4, 6

)? (A) (x - 4)^2 + (y - 6)^2 = 9 (B) (x - 4)^2 = 12(y - 3) (C) (y - 3)^2 = 12(x - 4) (D) (x - 4)^2 = 6(y - 3) (E) (x - 4)^2 = 12(y - 6) Why is the answer choice (B)? And also, why not choice (D)?
Mathematics
1 answer:
const2013 [10]3 years ago
3 0

Answer

The option B is the right answer because the vertex is (4,3)

Step-by-step explanation:

In the canonical equation of the parabola:

(X-h) ^ 2 = 4p (y-k)

The values (h, k) correspond to the coordinates (x, y) of the vertex.

In the definition of the problem it is said that the guideline of the parabola is the X axis, that is, the line Y = 0 and the focus is the point (4,6).

If the vertex were the point (4.6) the correct option would be option D

But the vertex is located at the midpoint of the segment defined by the focus points (4, 6) and the point (4, 0) that is on the parabola directrix. therefore, as the vertex is the point (4.3). the correct option is B.

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Answer:

Step-by-step explanation:

201.50/13 =p                           201.50/13=15.50 c /u

3 0
3 years ago
In the expression (44 ÷ 4 + 10) - 20 , with which operation should we start?
Luden [163]
You have to do whats in the parentheses from left to right then subtract the answer you get by 20



(9x10) - (30+30)
90 - 60 = 30



8 x (12+5) -7^2
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P=parentheses
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HOPE IM CORRECT
4 0
3 years ago
Read 2 more answers
A square rug is 11m^2 the bedroom for the rug is 4m by 5m will the rug fit? Explain why
vekshin1

Yes it will fit

Step-by-step explanation:

the square rug is 11m^{2}

so each side is \sqrt{11m^{2} } =3.31m

and the bedroom is 4m*5m

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6 0
3 years ago
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FAST. As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of
nalin [4]
They will hold 112.25 cm^3 more. Find the volume of the second can with the new side lengths and subtract the orginal volume from the new one.
7 0
1 year ago
One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 12$ and $a^5 b^5 = 7776$. what is the value of $a$ in this ordered
LenaWriter [7]
This is the concept of algebra, given that ab^4=12 and a^5b^5=7776, the value if a will be found as follows:
ab^4=12
a=12/b^4
also;
a^5=7776/b^5
thus;
a=(7776/b^5)^(1/5)
a=6/b
thus the value of a will be:
6/b=12/b^4
dividing both sides by b we get:
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multiplying both sides by b^3 we get
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8 0
3 years ago
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