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murzikaleks [220]
3 years ago
14

Are (2,9) and (-3,-6) both on the line y = 4x + 6? If not, find an equation for the line that does pass through both points.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

no, y=3x+3

Step-by-step explanation:

plug both points into the equations:

  • 9=4*2 +6 -> 9=8+6, doesn't work
  • -6=4(-3)+6 -> -6=-6, works

one works but the other doesn't so now we find a line through both points

use the formula (y_2-y_1)/(x_2-x_1) to find the slope:

  • (-6-9)/(-3-2)=-15/-5=3

y=3x+b, plug in a point to find b:

  • 9=3(2)+b
  • 9=6+b
  • b=3
  • y=3x+3
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If sine theta equals negative square root of three over two and pi less than theta less than three times pi over two, what are t
Romashka-Z-Leto [24]

Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

<h3>What is angle measurement?</h3>

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

sin(1/2) = π/6

The value of the trignometric function are;

cos(π/6) = (√3)/2

tan(π/6) = 1/√3 = (√3)/3

In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.

θ = 5π/6

cos(5π/6) = -(√3)/2

tan(5π/6) = -(√3)/3

Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

To learn more about the angle measurement, refer to the link;

brainly.com/question/14684647

#SPJ1

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Step-by-step explanation:

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