Y = -2x + 3
Slope is -2......and when x = 0 thats the y intercept.
Answer:
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Step-by-step explanation:
Using the combination formula, it is found that the integers can be chosen in 870 ways.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
The resulting sum will be even if both numbers are even(2 from a set of 30) or if both numbers are odd(also 2 from a set of 30), hence:
The integers can be chosen in 870 ways.
You can learn more about the combination formula at brainly.com/question/25821700
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer: .01
Step-by-step explanation:
