Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4.
Answer:
a = 3 and b = 4
Step-by-step explanation:
Independent Equations
Lines intersect
One solution
In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. One solution is called "consistent". This shows two distinct non-parallel lines that cross at exactly one point. This is called an "independent" system of equations, and the solution is always some x, y-point.
Answer:Since 7 and 11 are both rational, the sum and difference are rational.
Answer:
Step-by-step explanation:
A. The leading coefficient is the number on the highest degree term. We have a 2nd degree polynomial because of the power of 2 on the x. That's what leads this polynomial off. So the leading coefficient is the number stuck to that x-squared term. Our leading coefficient is a -.2, not 5. 5 is the linear term.
B. The constant is the number that doesn't have a variable stuck to it. Our constant, then, is -8, not 2.
C. The expression does in fact have 3 terms. Each term is separated from the other terms by either a plus sign or a minus sign. A polynomial with 3 terms is called a trinomial.
D. The expression actually factors to x = 1.718... and x = 23.281... Neither one of those is the factor given in the statement.
The only one that is true is C.
You would multiply what the stock used to be worth by 3 to get the answer. The answer is what the stock is worth now