Please help me with this question please

Mathematics

1 answer:

dmitriy555 [2]3 years ago

3 0

Answer:

The solution is (2, 1/2).

Step-by-step explanation:

The question is asking you to solve a system of equations using elimination. The elimination method means that when you add the two equations together, one of the variables will be eliminated so that you are able to solve for the other variable. In this case, if we multiply the first equation (6/x - 2/y = -1) by a factor of 2 we get: (12/x - 4/y = -2). We can then add the two equations together to eliminate the 'y' variable and solve for x using inverse operations. When we add (12/x - 4/y = -2) + (2/x + 4/y = 9) = (14/x = 7) or x = 2. In order to solve for 'y', we must now plug in the value of x = 2 into one of the equations and solve for 'y'. So, 2/2 + 4/y = 9 becomes 1 + 4/y = 9. Using inverse operations, be subtract 1 from both sides and then multiply to get y = 1/2.

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Vilka [71]

Answer:

B. (x,y) --> (4x - 10, 4y - 8)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

If a point X(x, y) is translated a units right and b units up, the new location is (x + a, y + b) also If a point X(x, y) is translated a units left and b units down, the new location is (x - a, y - b)

If a point X(x, y) is dilated by the factor k the new location is X'(kx, ky).

Triangle ABC has vertices at A(10,5), B(10,15), and C(5,5), If it is dilated by a factor of 4, the new location is A*(40, 20), B*(40, 60) and C*(20, 20). If then a translation of 10 units left and 8 units down, the new points are A'(30, 12), B'(30, 52), C'(10, 12).

This is a transformation of (x,y) --> (4x - 10, 4y - 8)

4 0

4 years ago

Write an equation of the circle with center (-3, 5) and radius 4.

Dimas [21]

Answer:

(x+3)^2 + (y-5)^2 = 4^2

(x+3)^2 + (y-5)^2 = 16

Step-by-step explanation:

The equation of a circle can be written in the form

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x--3)^2 + (y-5)^2 = 4^2

(x+3)^2 + (y-5)^2 = 4^2

(x+3)^2 + (y-5)^2 = 16

7 0

3 years ago

Can someone help me please

gizmo_the_mogwai [7]

The answer is 25 chicks

Reasoning:

This is a simple problem.
Consider you are the only chick that matters, and construct a table to say whether YOU get pecked. Your chance of being pecked comes down to only 4 outcomes. (1) YES - pecked twice. (2) YES - pecked from left wing only. (3) YES - pecked from right wing only. (4) NO - unpecked.
The table has 4 elements, all of equal probability, 1 of which is unpecked. YOU are therefore pecked 3:1 ratio or 3:4 opportunities 75% of the time. For convenience, this needs to be conducted for 100 trials of YOU, and the answer is that 25 times YOU will NOT be pecked. The circular nature of the 100 chicks says that YOU are not unique, and your experience is the same as the others, so we extrapolate your experience of 100 trials to a single trial of 100 chicks just like YOU. 25 unpecked chicks, 50 get pecked once, 25 get double pecks.

This is the same table constructed for 100 women having two children and asking how many have no girls.

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