Answer:
D. Car B was 10 miles east of car A
Step-by-step explanation:
→ Work out how many miles car A travelled
130
→ Work out how many miles car B travelled in 2 hrs
120
→ Find the difference
Car A is bigger by 10 miles
Answer:
- 5
Step-by-step explanation:
Substitute the given values into the expression
ax + by
= (- 2 × 1) + (3 × - 1)
= - 2 + (- 3)
= - 2 - 3
= - 5
Cubed means you have to multiply it by the other number like an exponent so that means the answer is z3
Answer:
See the verification below.
Step-by-step explanation:
Starting expression: 
Extract from the expression on the left of the equal sign the common factor "sin(x)":
![sin^3(x)+sin(x)\,cos^2(x)=sin(x)\\sin(x)[sin^2(x)+cos^2(x)]=sin(x)](https://tex.z-dn.net/?f=sin%5E3%28x%29%2Bsin%28x%29%5C%2Ccos%5E2%28x%29%3Dsin%28x%29%5C%5Csin%28x%29%5Bsin%5E2%28x%29%2Bcos%5E2%28x%29%5D%3Dsin%28x%29)
Now use the Pythagorean trigonometric identity: 
to replace the expression in between square brackets with "1":
![sin(x)[sin^2(x)+cos^2(x)]=sin(x)\\sin(x) \,[1]=sin(x)\\sin(x)=sin(x)](https://tex.z-dn.net/?f=sin%28x%29%5Bsin%5E2%28x%29%2Bcos%5E2%28x%29%5D%3Dsin%28x%29%5C%5Csin%28x%29%20%5C%2C%5B1%5D%3Dsin%28x%29%5C%5Csin%28x%29%3Dsin%28x%29)
Therefore we have verified the identity
