Answer:
1 - cosΘ
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x

=
← factor 1 - cos²Θ as a difference of squares
=
← cancel 1 + cosΘ on numerator/ denominator
= 1 - cosΘ
It is in form (x,y) (ususally)
7.5 and 12
there is something called a coordinate system where a line called the y axis runs vertically for infinity and a line perpendicular to it, crosses it. the other line is called the x axis which also extends for infinity
the point where they cross is point (0,0) or the origin
basically the numbers tell you how far you are from the axises
on the y axis, + numbers are up and - numbers are down
on the x axis, + numbers are to the right and - numbers are to the left
7.5=x and 12=y
+7.5 is positive
7.5 means that the point is 7.5 units to the right of the origin in relation to the x axis
12 is positive
12 means that the point is 12 units up from the origin in relation to the y axis
hope this helped. feel free to ask if its too confusing
Answer:
one solution is (0, -2)
Step-by-step explanation:
The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).
The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).
The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.
Answer:

Step-by-step explanation:
<u><em>The correct question is</em></u>
1x10 to the fifth power over 4x10 to the negative fourth power given on scientific notation
we know that
To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.
we have

= -2
y= 2x+6. y= -2x-2
2x+6= -2x-2
+2x. +2x
____________
4x+6= -2
4x= -8
x=-2