Answer:
y = (x - 7) + 4
Step-by-step explanation:
4 more = + 4
difference = (-)
y = (x - 7) + 4
Answer:
BC = 26
Step-by-step explanation:
since B is the midpoint of AC, then AB = BC
AC = 8x - 20 & AB = 3x - 1
AC = AB + BC or 2AB
8x - 20 = 2(3x - 1)
8x - 20 = 6x - 2
subtract 6x form each side
2x - 20 = -2
add 20 to each side
2x - 20 + 20 = -2 + 20
2x = 18
x = 9
BC = 3x - 1
BC = 27 - 1
BC = 26
AC = 52
Answer:
x = 45
Step-by-step explanation:
Solution:
x - y = 30
x - 15 = 30 ( y = 15 given)
x = 30 + 15
Therefore, x = 45
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Answer:
This type of transformation is a horizontal stretch.
<em></em>
Step-by-step explanation:
Given
Required
Determine the type of transformation
The first function can be expressed as:
While the second function is:
Solving f(0.5x), we have to substitute 0.5x for x in
So:
The second function is:
<em>This type of transformation is a horizontal stretch.</em>
<em></em>
<em>i.e. f(x) stretched to g(x)</em>
<span>1. a sine curve with amplitude 2, and period 4pi radians
</span>
the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude and n = 2π/perid
∵ <span>amplitude 2, and period 4pi radians
</span>
∴ y = 2 sin (θ/2)
The correct answer is option D. y = 2 sin (θ/2)
===========================================
<span>2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ
</span>
<span>comparing with y = a cos nθ
</span>
where : a is the amplitude and n = 2π/period
<span>amplitude = 5 , period = 2π/n = 2π/2 = π
</span>
The correct answer is option B. Period: pi radians: Amplitude:5
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3. tan (2π/3) = tan 120° = -√3
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3
The correct answer is C. -sqrt3
=====================================================
4. <span>Tan 5π/6 = tan 150° = -(√3)/3
</span>
150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
tan function in the second quadrant is negative
∴ tan 150° = - tan 30 = -(√3)/3
The correct answer is <span>B.-sqrt3/3</span>
