(4x+6)(2x-5)
= 8x^2 - 20x + 12x - 30
= 8x^2 - 8x - 30
1- Two times the sum of four and eight
2 x (4+8)
2- Seven less than eight
8-7
3-The product of x squared and thirteen
13x²
Answer:
Given expressions are equivalent.
Step-by-step explanation:
Given expression:
4 (x + 3) + 2x and 6 (x + 2)
Find:
Given equivalent expressions or not
Computation:
By taking LHS
4 (x + 3) + 2x
4x + 12 + 2x
6x + 12
By taking RHS
6 (x + 2)
6x + 12
We say that
LHS = RHS
So,
Given expressions are equivalent.
Answer:
y = 6cos(π/2)t
Step-by-step explanation:
Given in the question that,
in a simple harmonic motion in which
at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.
And,
the period is given as 4 sec
We know that model equation of simple harmonic motion is
<h3>y = a. cosb(t + c) + d</h3>
here,
a is amplitude
c is Horizontal shift or phase shift
d is Vertical shift
<h3>Step1</h3><h3>Find b</h3>
Period = 2 π / b
4 = 2π / b
b = 2π/4
b = 1π/2
<h3>Step2</h3><h3>Find shifts</h3>
Horizontal and vertical shifts are 0.
So, c = 0 and d = 0
<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>
y = 6cos π/2 (t + 0) + 0
y = 6cos(π/2)t
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