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PolarNik [594]
3 years ago
11

How many solutions does the following linear equation have? y = -2x -4 y = 1/2x - 5

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

x=2/5, y=-24/5. (2/5, -24/5).

Step-by-step explanation:

y=-2x-4

y=1/2x-5

----------------

-2x-4=1/2x-5

-2x-1/2x-4=-5

-4/2x-1/2x=-5+4

-5/2x=-1

5/2x=1

x=1/(5/2)

x=2/5

y=1/2(2/5)-5

y=1/5-5

y=1/5-25/5

y=-24/5

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3 0
3 years ago
Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
butalik [34]

Answer:

The correct options are;

D. Triangles ABC and A'B'C' are congruent

E. Angle ABC is congruent to angle A'B'C'

F. Segment BC is congruent to segment B'C'

H. Segment AQ is congruent to segment A'Q'

Step-by-step explanation:

The given information are;

The angle of rotation of triangle ABC = 60°

Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;

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Therefore;

BC ≅ B'C'

2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image

Therefore;

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3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation

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4 0
3 years ago
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If the descent is modeled by a linear function, then the slope
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Since it still has 19,000 ft left to descend, at the rate of 100 ft/mi,
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on the same slope, it'll be 100 miles past the runway (east of it)
when it touches down.

I sure hope there's another airport there.
5 0
3 years ago
Read 2 more answers
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