You will need to work left to right.
p - 10p + -5p +14p - -9p - 2 = -20
-9p + -5p +14p - -9p - 2 = -20
-14p +14p - -9p - 2 = -20
0p- -9p - 2 = -20
9p - 2 = -20
Then you will want to eliminate 2 by adding it to both sides
9p = -18
Then divide by 9 to isolate P
p=-2
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
Parallel lines share the same slope, so the slope of the parallel line in this case must be 
.
Point-slope form is 
, where 
is the slope and 
is any known point on the line.
Plug in the values. 
Simplify and distribute. 
Subtract 1 from both sides. 
-2.4n-3+-7.8n+2
you combine like terms
(-2.4n+-7.8n)+(-3+2)
= -10.2n-1
First subtract the weight the dog weighs now to the weight he was:
48.9
- 29.7
------------
19.2
Then take the number you got which is the weight the dog gain in total, and divide it by the months the dog gained weight to get the average weight gained each month:
19.2/8 = 2.4
The average weight gain each month was 2.4 pounds.
Hope this helped you!
