<span>Simplifying
x2 + 8x + y2 + -2y = 64
Reorder the terms:
8x + x2 + -2y + y2 = 64
Solving
8x + x2 + -2y + y2 = 64
Solving for variable 'x'.
Reorder the terms:
-64 + 8x + x2 + -2y + y2 = 64 + -64
Combine like terms: 64 + -64 = 0
-64 + 8x + x2 + -2y + y2 = 0
The solution to this equation could not be determined.</span>
Answer:
The net forces exerted on the horse and cart are not the same, so they are not balanced forces.
Step-by-step explanation:
Please see the Newton's 2nd Law which states that an object accelerates if there is a net or unbalanced force on it. In this scenario there is just one force exerted on the wagon i.e: the force that the horse exerts on it. The wagon accelerates because the horse pulls on it. And the amount of acceleration equals the net force on the wagon divided by its mass.
As there are two forces the push and pull the horse; the wagon pulls the horse backwards, and the ground pushes the horse forward. The net force is determined by the relative sizes of these two forces.
If the ground pushes harder on the horse than the wagon pulls, there is a net force in the forward direction, and the horse accelerates forward, and if the wagon pulls harder on the horse than the ground pushes, there is a net force in the backward direction, and the horse accelerates backward.
If the force that the wagon exerts on the horse is the same size as the force that the ground exerts, the net force on the horse is zero, and the horse does not accelerate.
Answer:
Final answer is slope 
Step-by-step explanation:
Given equation is 
Now question says to find the slope.
Since given equation
is a linear equation so we need to compare
with slope intercept formula
to get the value of slope m.
Since
is not in that form so first let's rewrite it in y=mx+b form




Now comparing with y=mx+b, we get 
Hence final answer is slope 
Answer:
The third term in the sequence has a value of 1.
Step-by-step explanation:
"f(x)" is the name (label) of the function. If x is replaced by "3", f(3) represents the value of the 3rd term of the function, which is 1. This corresponds to Answer 3: The third term in the sequence has a value of 1.