Answer:
One statement that is true is that it equals 50
Answer:
y = 3x + 1.
Step-by-step explanation:
The slope is y2-y1/x2-x1
= 10/1/ 3-0
= 9/3
= 3.
Using the point-slope form for a straight line:
y-y1 = m(x-x1) (m = slope)
y - 10 = 3(x - 3)
y - 10 = 3x - 9
y = 3x - 9 + 10
y = 3x + 1 is the required equation.
Answer:
Step-by-step explanation:
First get the answer to -3n - 4 = 2
-3n - 4 + 4 = 2 + 4
-3n = 6
n = 6/-3
n = -2
That answer is the only one that is permitted. It is the only one that completely satisfies the equation.
Now when you do the inequality, look what happens.
-3n - 4 < 2 Add 4 to both sides.
-3n-4+ 4 < 2+4
-3n < 6 Now there are a bunch of ways (2) to solve this.
No matter which way you do it, the arrow will change.
-3n/-3 > 6/-3
n > - 2
That means that any number that is greater than - 2 will satisfy the inequality.
So n = 0 will work. Even n = - 1 will work. Anything bigger than -2 will work. The equation does not provide that kind of latitude.
Slope between two points =
(Change in y) / (change in x) .
For these points, that's -7/5 .
The values would be
sin2x = -3/5
cos2x = -4/5
tan2x = 3/4
What are double angles in trigonometry?
The double angle formulas are used to find the values of double angles of trigonometric functions using their single angle values. For example, the value of cos 30° can be used to find the value of cos 60°. Also, the double-angle formulas can be used to derive the triple-angle formulas.
Given: tanx = -3
Now as we know,
![sin2x=\frac{2tanx}{1+tan^2x}\\\\sin2x=\frac{2(-3)}{1+(-3)^2}\\\\sin2x=\frac{-6}{10}\\\\sin2x=\frac{-3}{5}](https://tex.z-dn.net/?f=sin2x%3D%5Cfrac%7B2tanx%7D%7B1%2Btan%5E2x%7D%5C%5C%5C%5Csin2x%3D%5Cfrac%7B2%28-3%29%7D%7B1%2B%28-3%29%5E2%7D%5C%5C%5C%5Csin2x%3D%5Cfrac%7B-6%7D%7B10%7D%5C%5C%5C%5Csin2x%3D%5Cfrac%7B-3%7D%7B5%7D)
Now
![cos2x=\frac{1-tan^2x}{1+tan^2x}\\\\cos2x=\frac{1-(-3)^2}{1+(-3)^2}\\\\cos2x=\frac{1-9}{1+9}\\\\cos2x=\frac{-8}{10}\\\\cos2x=\frac{-4}{5}](https://tex.z-dn.net/?f=cos2x%3D%5Cfrac%7B1-tan%5E2x%7D%7B1%2Btan%5E2x%7D%5C%5C%5C%5Ccos2x%3D%5Cfrac%7B1-%28-3%29%5E2%7D%7B1%2B%28-3%29%5E2%7D%5C%5C%5C%5Ccos2x%3D%5Cfrac%7B1-9%7D%7B1%2B9%7D%5C%5C%5C%5Ccos2x%3D%5Cfrac%7B-8%7D%7B10%7D%5C%5C%5C%5Ccos2x%3D%5Cfrac%7B-4%7D%7B5%7D)
And similarly, we can find the value of tan2x, as
tan2x = sin2x/cos2x
= (-3/5)/(-4/5)
= 3/4
Hence,
The values would be
sin2x = -3/5
cos2x = -4/5
tan2x = 3/4
To learn more about double angles in trigonometry, visit:
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