Plz help I'm really bad at these
1 answer:
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Answer:
Part a) Daniel's age is 2 years
Part b) Kevin's age is 8 years
Step-by-step explanation:
<u><em>The question is </em></u>
Part a) How old is Daniel?
Part b) How old is Kevin?
Let
x ----> Kevin's age
y ----> Daniel's age
we know that
-----> equation A
----> equation B
Equate equation A and equation B
solve for y
therefore
Daniel's age is 2 years
<em>Find the value of x</em>
substitute the value of y in any of the two equations
therefore
Kevin's age is 8 years
Answer:
56 meters.
Step-by-step explanation:
Please find the attachment.
Let the leaning tower's be h meters tall, when it was originally built.
We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.
Since we know that cosine relates the adjacent and hypotenuse of a right triangle.
Upon substituting our given values we will get,
Therefore, the leaning tower was approximately 56 meters, when it was originally built.
Refer to the diagram shown below.
The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).
Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).
Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer: