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ollegr [7]
3 years ago
12

14 The straight line, L, has the equation y = 5 - 2x

Mathematics
1 answer:
diamong [38]3 years ago
4 0

Answer:

When it crosses y-axis it means that x coordinate must be 0 so let substitute 0 to x, y=5-2*0

So coordinates are [0,5]

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Use substitution to write an equivalent quadiatic equation<br> ( 3x^2)^2+7(3x +2) -8=0
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Answer:

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Step-by-step explanation:

( 3x^2)^2+7(3x +2) -8=0

((3^2)*(x^2)^2)+(7*3x)+(7*2)-8=0

9(x^4)+21x+14-8=0

9x^4+21x+6=0

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What is sin(4a) &amp; cos(4a) if tan(a)=3
ratelena [41]

Answer:

  • sin(4a) = -24/25
  • cos(4a) = 7/25

Step-by-step explanation:

Your calculator can tell you these values:

  sin(4a) = sin(4·arctan(3)) = -0.96 = -24/25

  cos(4a) = cos(4·arctan(3)) = 0.28 = 7/25

_____

Some useful trig identities are ...

  sin(2a) = 2tan(a)/(1 +tan(a)^2)

  cos(2a) = (1 -tan(a)^2)/(1 +tan(a)^2)

Filling in the given value for tan(a), we find ...

  sin(2a) = 2(3)/(1+3^2) = 6/10 = 3/5

  cos(2a) = (1 -3^2)/(1 +3^2) = -8/10 = -4/5

Now, double-angle formulas are useful:

  sin(4a) = 2sin(2a)cos(2a) = 2(3/5)(-4/5) = -24/25

  cos(4a) = 1 -2sin(2a)^2 = 1 -2(3/5)^2 = 7/25

The desired trig function values are sin(4a) = -24/25; cos(4a) = 7/25.

6 0
3 years ago
A=755y/t^2 <br> Solve for y.
timofeeve [1]

Answer:

y = At²/755

Step-by-step explanation:

A = 755y/t²

multiply both sides by t²

At² = 755y

Divide both sides by 755

At²/755 = y

Flip

y = At²/755

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3 years ago
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