Answer:
The answer would be f(a)=-1
-AC I hope this helps<3
Hello
sin ..... | 0° |30°|45°|60°|90°|
...........| 0...| 1..| 2..| 3..| 4..| write numbers
...........| 0...| 1..|√2.| √3 | 2..| take root square
...........| 0...|1/2|√2/2|√3/2|1| divide by 2
...........| 0...|1/2|√2/2|√3/2|1| .....
cos.....| 90°|60°|45°|30°| 0°|
sin (75°)
=sin(30°+45°)=sin 30°*cos 45° +cos 30°*sin 45°
.................... =1/2*√2/2 + √3/2*√2/2
.................... = √2(1+√3)/4
cos 75°
=cos(30°+45°)=cos 30°*cos 45°-sin 30°*cos 45°
=√3/2*√2/2-1/2*√2/2
=√6/4-√2/4=√2/4*(√3 -1 )
2.5 divided by 2 equals 1.25 so each side equals 1.25
Answer:
C = (2,2)
Step-by-step explanation:
B = (10 ; 2)
M = (6 ; 2)
C = (x ; y )
|___________|___________|
B (10;2) M (6;2) C ( x; y)
So:
dBM = dMC
√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]
(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2
0 + (-4)^2 = (y-2)^2 + (x - 6)^2
16 = (y-2)^2 + (x - 6)^2
16 - (x - 6)^2 = (y-2)^2
Also:
2*dBM = dBC
2*√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 10)^2]
4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2
4*(16) = (y-2)^2 + (x - 10)^2
64 = (y-2)^2 + (x - 10)^2
64 = 16 - (x - 6)^2 + (x - 10)^2
48 = (x - 10)^2 - (x - 6)^2
48 = x^2 - 20*x + 100 - x^2 + 12*x - 36
48 = - 20*x + 100 + 12*x - 36
8*x = 16
x = 2
Thus:
16 - (x - 6)^2 = (y-2)^2
16 - (2 - 6)^2 = (y-2)^2
16 - (-4)^2 = (y-2)^2
16 - 16 = (y-2)^2
0 = (y-2)^2
0 = y - 2
2 = y
⇒ C = (2,2)
Answer:
![\frac{7}{10} y](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D%20y)
Step-by-step explanation:
To add fractions <em>with the same denominator</em>, simply add the numerators:
![\frac{a}{b} + \frac{c}{b} = \frac{a+c}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%20%2B%20%5Cfrac%7Bc%7D%7Bb%7D%20%3D%20%5Cfrac%7Ba%2Bc%7D%7Bb%7D)
So:
![\frac{3}{10} y+\frac{4}{10} y=\frac{7}{10} y](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D%20y%2B%5Cfrac%7B4%7D%7B10%7D%20y%3D%5Cfrac%7B7%7D%7B10%7D%20y)