Answer:
Step-by-step explanation:
Your answer is the first picture (upper left)
Answer: Scalene triangle
Step-by-step explanation:
All triangles have three sides with specific lengths and angles, but a scalene triangle is a kind of triangle that has each of its three sides to be of different lengths and angles.
Hence, a triangle that measures 39°, 104°, and 37° definitely has three sides with different lengths and angles.
Thus, it is a scalene triangle.
AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117
Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
![\sqrt{81} = 9](https://tex.z-dn.net/?f=%20%5Csqrt%7B81%7D%20%20%3D%209)
Therefore AB is 9 cms.
Answer:
⇒ answer 1
Step-by-step explanation:
* Lets explain how to find the inverse of a function
- To find the inverse of a function :
# Write y = f(x)
# Switch the x and y
# Solve to find the new y
# The new y is ![f^{-1}](https://tex.z-dn.net/?f=f%5E%7B-1%7D)
* Lets solve the problem
∵ f(x) = 2x + 1
- Put y = f(x)
∴ y = 2x + 1
- Switch x and y
∴ x = 2y + 1
- Solve to find the new y
∵ x = 2y + 1
- Subtract 1 from both sides
∴ x - 1 = 2y
- Divide both sides by 2
∴ (x - 1)/2 = y
- Divide each term in the left hand side by 2
∴ y = 1/2 x - 1/2
- Replace y by ![f^{-1}](https://tex.z-dn.net/?f=f%5E%7B-1%7D)
∴ ![f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B1%7D%7B2%7Dx-%5Cfrac%7B1%7D%7B2%7D)
* The inverse of the function is ![f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B1%7D%7B2%7Dx-%5Cfrac%7B1%7D%7B2%7D)
C. f(x) = – 2 cos 6x + 1
Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).
Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.
Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).