Answer:
It will take 5 hours for the bakery to bake 1000 loaves.
Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
The answer would be 30 since for 180 pounds and 60 feet you would need to divide 180 by 60 to get the unit rate for the pressure and then multiply by 10 which would get you 30. Correct me if I’m wrong. Hope it helps :)
ANSWER
A parabola.
EXPLANATION
The given conic is :

This can be rewritten as:


This is a parabola with the vertex at the origin.
The foci is (0,4)
Therefore the given conic section is a parabola that has an axis of symmetry parallel to the y-axis.
I think you mean
sqrt x + 5 = sqrt (x+45)
if you plug in x = 4,
left side = sqrt 4 + 5 = 2+ 5 = 7
right side = sqrt (4+45) = sqrt 49 = 7
so the answer is x = 4 :)