Answer:
The equation of the straight line is 3y - 2x = - 31
Step-by-step explanation:
The equation of the given line is 3y - 12 = - 2(5 - x)
⇒ 3y - 2x = 2 ......... (1)
Now, equation of straight line parallel to equation (1), will be
3y - 2x = c ........... (2)
Now, we have to determine c.
If equation (2) passes through point (14,-1), then
3(- 1) - 2( 14) = c
⇒ c = - 31
Hence, the equation of the straight line is 3y - 2x = - 31 (Answer).
Answer:
11
Step-by-step explanation:
The trigonometric ratio (trig ratio) for the angle in this right-angled triangle should be expressed as fractions in simplest terms as follows:
Sin(M) = 21/121
Cos(L) = 10/11
Tan(K) = 21/100
<h3>How to express the trig ratio as fractions?</h3>
In Mathematics, a trigonometric ratio (trig ratio) can be calculated by using this mnemonic SOHCAHTOA:
Sinθ = Opposite/Hypotenuse
Sin(M) = KM/ML
Sin(M) = √21/11
Taking the square of both the numerator and denominator, we have:
Sin(M) = (√21)²/11²
Sin(M) = 21/121
For the cosine of an angle in a right-angled triangle, we have:
Cosθ = Adjacent/Hypotenuse
Cos(L) = KL/ML
Cos(L) = 10/11
For the tangent of an angle in a right-angled triangle, we have:
Tanθ = Opposite/Adjacent
Tan(K) = KM/KL
Tan(K) = √21/10
Taking the square of both the numerator and denominator, we have:
Tan(K) = (√21)²/10²
Tan(K) = 21/100
Read more on trigonometric ratio here: brainly.com/question/26964482
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