Answer:
Step-by-step explanation:
Triangle HIJ is a right angle triangle.
From the given right angle triangle
IJ represents the hypotenuse of the right angle triangle.
With ∠J as the reference angle,
HJ represents the adjacent side of the right angle triangle.
HI represents the opposite side of the right angle triangle.
To determine IJ, we would apply Sine trigonometric ratio. It is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin 54 = 7/IJ
0.8090 = 7/IJ
IJ = 7/0.8090
IJ = 8.7 to the nearest tenth
Answer:
Required series is:
Step-by-step explanation:
Given that
---(1)
We know that:
---(2)
Comparing (1) and (2)
---- (3)
Using power series expansion for 
![=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]](https://tex.z-dn.net/?f=%3D-%5Bc%2B%5Csum%5Climits%5E%7B%20%5Cinfty%7D_%7Bn%3D0%7D%20%28-1%29%5E%7Bn%7D%5Cfrac%7Bx%5E%7B2n%2B1%7D%7D%7B2n%2B1%7D%5D)
as
Hence,
First, convert 3 1/2 into an improper fraction, which is 7/2. Now, you have to make sure both sides have a common denominator. This will be 6. So now the equation is 21/6 - 4/6. Subtract the numerators, which is 17. Keep the denominator, however. Now, simplify. You new answer will be 2 5/6.
Answer:
y -1 = 2(x -3)
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx +b . . . . line with slope m and y-intercept b
y = 2x +3 . . . . . line with slope 2 and y-intercept 3
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A parallel line will have the same slope. Since you are given a point, it is convenient to use the point-slope form for the equation you want:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -1 = 2(x -3) . . . . . . line with slope 2 through point (3, 1)
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<em>Additional comment</em>
If you want the slope-intercept form you can solve for y:
y = 2(x -3) +1 = 2x -6 +1
y = 2x -5 . . . . . slope-intercept form of the parallel line
