The answer would be b , because the line is pointing down which makes it a negative slope .
Expression A is 18 adding .5 and expression B is 18.5 multiplying buy 2.
1. 3/6 = 1/2
2. 5/6
3. 3/6 : 3/6 = 3 : 3
4. 3/6 : 3/6 = 3 : 3
5. 5/6 : 1/6 = 5 : 1
7. 3/6 × 1/2 = 1/4
a) Given :
51 pounds of seed can be planted in = 9 acre field.
Per pound of seed = 
We can convert 9/51 in simplest fraction by dividing top and bottom by 3.
We get
<h3>Therefore, 3/17 of an acrs can be planted per pound of seed.</h3>
b) $10 amount = 16 pounds of sugar.
$1 amount = 16/10 = 1.6 pounds of sugar.
<h3>Therefore, 1.6 pounds of sugar she got per dollar.</h3>
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
