Answer:
-2 - 5n
Step-by-step explanation:
-7, -12, -17, -22, -27.....
Arithmetic Sequence
first term a = -7
difference = d = -12 - (-7) = -12 + 7 = (-5)
nth term = a + (n-1)d
= -7 + (n-1)*(-5)
= -7 + (-5)*n -1 * (-5)
= -7 - 5n + 5
= -2 - 5n
Answer:
(0, 8).
Step-by-step explanation:
The y intercept occurs when = 0, so we have the equation:
y = -3(0) + 8
y = 0 + 8
y = 8.
The answer is (0, 8).
Answer:
prime numbers are the natural numbers greater than one that are not products of two smaller natural numbers
Step-by-step explanation:
Answer:
![sin(a)=cos(b)](https://tex.z-dn.net/?f=sin%28a%29%3Dcos%28b%29)
Step-by-step explanation:
we know that
In the triangle abc
if ![m\angle a+m\angle b=90^o](https://tex.z-dn.net/?f=m%5Cangle%20a%2Bm%5Cangle%20b%3D90%5Eo)
then
![m\angle c=90^o](https://tex.z-dn.net/?f=m%5Cangle%20c%3D90%5Eo)
Because, the sum of the interior angles in a triangle must be equal to 180 degrees
therefore
Triangle abc is a right triangle
see the attached figure to better understand the problem
The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse
so
![sin(a)=\frac{x}{z}](https://tex.z-dn.net/?f=sin%28a%29%3D%5Cfrac%7Bx%7D%7Bz%7D)
The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse
so
![cos(b)=\frac{x}{z}](https://tex.z-dn.net/?f=cos%28b%29%3D%5Cfrac%7Bx%7D%7Bz%7D)
therefore
![sin(a)=cos(b)](https://tex.z-dn.net/?f=sin%28a%29%3Dcos%28b%29)
When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle
so
![sin(a)=cos(b)](https://tex.z-dn.net/?f=sin%28a%29%3Dcos%28b%29)
![cos(a)=sin(b)](https://tex.z-dn.net/?f=cos%28a%29%3Dsin%28b%29)