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umka21 [38]
3 years ago
14

What is the solution to the system of equations below?

Mathematics
1 answer:
Burka [1]3 years ago
3 0

Answer:

  (x, y) = (-4, -15)

Step-by-step explanation:

You can equate the expressions for y and solve for x.

  3/4x -12 = -4x -31

Adding 4x+12 gives ...

  (4 3/4)x = -19

  (19/4)x = -19

Multiplying by 4/19, we find ...

  x = -4

Substituting that into the first equation, we can find y:

  y = (3/4)(-4) -12 = -15

The solution is (x, y) = (-4, -15).

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Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)

Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.

Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
5 0
3 years ago
Ok part 2 hey hey it jassie can you answer all my parts and other people to ok here it is
MissTica
0.368 in expanded form would be...

0.000 + 0.300 + 0.060 + 0.008
or simply
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3 0
3 years ago
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in an isosceles triangle the measure of the angle formed by the two congruent side is 80 degrees what is the measure of each bas
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Based on the answer it is right there 80%
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*35 BRAINLY POINTS! BRAINLIEST TO THE FIRST CORRECT PERSON!*
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Answer:

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Step-by-step explanation:

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