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Anon25 [30]
3 years ago
12

Can someone help me with these questions please?

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Step-by-step explanation:

You can solve systems of equations using either substitution or elimination.  For these problems, I recommend elimination.  I'll do the first one as an example.

-3x + 16y = 9

-4x + 8y = 12

Multiply the second equation by -2.

8x − 16y = -24

Add to the first equation (notice the y's cancel out).

(-3x + 16y) + (8x − 16y) = 9 − 24

5x = -15

Solve for x.

x = -3

Now you can plug this into either equation to find y.

-3(-3) + 16y = 9

9 + 16y = 9

y = 0

The solution is (-3, 0).

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3 years ago
What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?
riadik2000 [5.3K]

Answer:

The distance is 1.41 to nearest hundredth.

Step-by-step explanation:

The line y = x + 3 passes through the point (0, 3) on the yaxis.

Find the perpendicular line passing through this point:

y  - 3 = -1(x + 0)

y = -x + 3

Now find the point where this line intersects the line y = x + 1:

y = -x + 3

y = x + 1

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So this point is (1, 2)

We require the distance between this point and (0, 3)

This = √((3-2)^2 + (0-1)^2) = √2

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3 0
2 years ago
The pickerington girls track team ran a 4 by 100 meter relay in 48.9 seconds. If four girls ran the race how fast did each girl
Oduvanchick [21]
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3 years ago
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3 years ago
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