Answer:
(2, 11/2)
Step-by-step explanation:
This is a vertical parabola; we know that because x is squared here, while y is not. The standard equation of a vertical parabola with vertex (h,k) is
4p(y-k) = (x-h)^2, where p is the distance between the vertex and the focus. Comparing
4p(y-k) = (x-h)^2 to
10(y-3) = (x-2)^2, we see that 4p = 10. Therefore, p = 10/4 = 5/2, which is the vertical distance between the focus and the vertex.
Since the coordinates of the vertex are easily read from the given equation
(x-2)^2=10(y-3): (h,k) = (2, 3)
all we need to do is to add p (5/2) to the y-coordinate (3);
The focus is at (2, 3 + 5/2), or (2, 11/2).
Answer: The conditional statements are not in the correct form to make a conclusion using the law of syllogism. “If p, then q and if p, then r” cannot be used to draw a conclusion using the law of syllogism. The law of syllogism could be used if the hypothesis in the second statement was "if two pairs of congruent angles are formed."
Step-by-step explanation:
"If p, then q and if p, then r" cannot be used to draw a conclusion using the law of syllogism.
Neither of the conclusions of the conditional statements are the hypothesis of the other.
"If two pairs of congruent angles are formed" could be the hypothesis of the second statement.
** Both can be used to answer the question :)
K is equal to 4 because g(x) is a parrallel line to f(x)
The correct answer to this question is "Yes, at negative and positive x-coordinates or zero."
Terri is analyzing a circle, y2 + x2 = 36, and a linear function g(x). The graph will intersect <span>at negative and positive x-coordinates or zero </span>
y2 + x2 = 36 g(x) graph of the function y squared plus xsquared equals 36 x
g(x) −4 −4 −2 −2 2 2
Answer:
The y intercept is -1
Step-by-step explanation:
y-14=6(x-2.5)
We need to get the equation in the form y = mx+b where b is the y intercept
Distribut the 6
y-14 = 6x -15
Add 14 to each side
y-14+14 = 6x-15+14
y = 6x-1
The y - intercept is -1
