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Iteru [2.4K]
3 years ago
15

What are the solutions to the equation?

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

X=-4 and x=10

Step-by-step explanation:

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Supposse that the distance from the point (x,y) to the point (3,0) is equal to the distance from  (x,y) to the point (7,0). Then, by the formula of the distnace we must have

\sqrt{(x-3)^2 + (y-0)^2}=\sqrt{(x-7)^2 + (y-0)^2}

cancel the square root and the (y-0)^2's, and then expand the parenthesis to obtain

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then, simplifying we obtain

8x = 40

therfore we must have

x=5

this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points: (5,0), (5,7),(5,1/2), (5,-10),.... The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.

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3 years ago
A deck of 38 cards contains 16 blue cards, 6 red cards, and 16 yellow cards. What is the probability of randomly drawing a blue
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The probability of drawing a blue card is equal to the quotient when the number of blue cards is divided by the total number of cards. This is, 16/38 which is also equal to 8/19. Thus, the probability of drawing a yellow card is 8/19. The answer is letter C. 
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3 years ago
The length of a rectangle is one unit shorter than one-sixth of the width x which expression represents the perimeter of the rec
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Hi,

L = (1/6)x - 1

P = 2x + 2L = 2x + (2/6)x - 2

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x being the width.


Hope this helps!
8 0
4 years ago
Read 2 more answers
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The volume of a gift box is 972 in. The height of the gift box is 12 inches
Serggg [28]

Answer:

The length of each side of the 9 in

Step-by-step explanation:

The volume of the gift box is 972 in. The height of the gift box is 12 inches

and the area of the base is 81 in².

We want to determine the length of each side of the square base if the base shape is a square.

Recall that, the area of a square is

{l}^{2}

It was given that, the area of this base is 81 in²

{l}^{2}  = 81

Take positive square root:

l =  \sqrt{81}  = 9in

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