4/(x+1) = 3/x + 1/15
Should we make common denominators with everything, we get
4*15*x / [15x(x+1)] = 3*15*(x+1)/[15x(x+1)] + x(x+1)/[15x(x+1)]
Multiply both sides of the equation by the denominator to cancel them
60x = 45(x+1) + x(x+1)
60x = 45x + 45 + x^2 + x
x^2 - 14x + 45 = 0
(x-9)(x-5) = 0
The answer to this question is that the solutions are x=9 and x=5.
We have been given graph of a sinusoidal function. We are asked to write function formula for our given graph.
We know that and . We can see that our given function is starting at origin, so our graph is sine function.
We know that general form of sine is , where,
A = Amplitude,
Period:
C = Horizontal shift,
D = Vertical shift.
We have been given that function has no horizontal shift, so the value of C is 0.
We can also see that midline of our function is x-axis, so there is no vertical shift as well that is .
We can see that function goes up to 1 from midline and goes down to from midline, so amplitude of function is 1 that is .
We can see that period of our given function is because it completes one cycle from to
We can see that our function is reflected about x-axis, so our function will be .
Therefore, our required function is .
Answer:
4) measurement of angle 3 + measurement of angle 4 = measurement of angle 1 + measurement of angle 2
5) angle 1 and 4 are vertical angles
Step-by-step explanation:
Verify each statement
<em>1) angle 2 and 3 form a linear pair</em>
The statement is false
Because, angle 2 and angle 3 not form a linear pair (are not supplementary angles), angle 2 and angle 3 are vertical angles
∠2=∠3
<em>2) Angle 1 and 4 are supplementary angles. </em>
The statement is false
Because, angle 1 and angle 4 are not supplementary angles, angle 1 and angle 4 are vertical angles
∠1=∠4
<em>3) measurement of angle 1 + measurement of angle 2 + measurement of angle 3 =180</em>
The statement is false
Because
we know that
∠1+∠2=180° ------> form a linear pair (supplementary angles)
so
∠1+∠2++∠3>180°
4) <em>measurement of angle 3 + measurement of angle 4 = measurement of angle 1 + measurement of angle 2</em>
The statement is true
Because
we know that
∠1+∠2=180° ------> form a linear pair (supplementary angles)
∠3+∠4=180° ------> form a linear pair (supplementary angles)
therefore
∠3+∠4=∠1+∠2
5) angle 1 and 4 are vertical angles
The statement is true
Because
∠1=∠4 -------> by vertical angles
He will use any unit of length he wants (inches, feet, etc.), but squared
46. 6*3=18 hence x=9*3=27 (ratio is 3:1)
47. x=8 clearly 2:1 ratio.
48.ratio is 1/3 hence, x=9/3=3
49.7:1 ratio. so, x=70
I hope you got the hang of it. so do the last two yourself.