if three angles are complementary, then they all ad up to 90 degrees. if the third angle is 10 degrees, then there are multiple answers for the other angles. one could be 35 degrees and 45 degrees.
Im not able to make a distance-time graph, since they don't have a graphing app but I've done this type of problem.
They walked the same distance.
You: 1.5x8=12
Friend: (2x4)+(1x4)=12
The equation x^2 - 6x + 9 is a perfect square and when factored out it becomes C. ) It is a perfect square (x - 3)^2
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
The distance traveled to the top of the escalator to the bottom is 52 ft
Here, we want to calculate the distance a person on the escalator travel from the bottom to the top of the escalator
Firstly, we need a diagrammatic representation to understand this
We can form a right-angled triangle with the information given in the question.
The diagram is shown as below;
From the question, by simply calculating the hypotenuse of the right-angled triangle, we can get the distance traveled from the bottom of the escalator to the top
Let us call this distance d
We can now use the appropriate trigonometric ratio
The trigonometric ratio to use here is the sine since we have the opposite and we want to calculate the hypotenuse
Mathematically;
