1. 3,-10
2. 10x + y
3. 2x - 3y
Answer: 
Step-by-step explanation:
Slope of two lines that are perpendicular to each other is 1.
If one line is 
, then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]
Let n be the slope of the required line, then
Equation of line with slope n and passers through (a,b) is
Equation of line with slope n= 
and passes through point ( 0,-4) :
Hence, Required equation :
The initial function is slope
=> slope = 7-1/6-0 = 6/6 = 1
Hope this helps you :)
Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
A) can.
because the number (x) has been decreased by 23 and is now 44.
Hope this helps :)
