Step-by-step explanation:
by ours to do if the radius
Answer:
x = 2 and y = 5
Step-by-step explanation:
Given equations are :
y-x = 3 ......(1)
xy = 10 or
x = (10/y) ....(2)
Put the value of x in equation (1).
Put the value of y in equation (2).
So, the value of x is equal to 2 and that of y is equal to 5.
Answer:
A) x²/25 + y²/9 = 1
Step-by-step explanation:
The major axis length is the sum of distances to the foci from the ellipse, 10. So the semi-major axis has length 10/2 = 5. The foci are on the x-axis, so the ellipse is oriented horizontally.
The semi-minor axis is the other leg of the right triangle having the focus and center as one leg, and the semi-major axis as the hypotenuse. This is obviously a 3-4-5 triangle, so the semi-minor axis length is 3.
When the ellipse is horizontal, the formula for it is ...
... (x/(semi-major axis))² + (y/(semi-minor axis))² = 1
... (x/5)² + (y/3)² = 1
... x²/25 + y²/9 = 1
(-5, 2) ⇒ x₁ = -5, y₁ = 2
(7, -1) ⇒ x₂ = 7, y₂ = -1
Slope:
Slope intercept form:
y = mx + b
Plug <em>m</em> and (7, -1) :
-1 = -¹/₄(7) + b
-1 + ⁷/₄ = b
<h3>b = ³/₄ ← y-intercept</h3>
Therefore slope intercept form of h(x):
<h3>h(x) = -¹/₄x + ³/₄</h3>
Answer:
a. Yes, it will float in oil since it is less dense than oil.
b. No, it won't float in oil since it is more dense than the oil itself.
c. Yes, it will float in water since, the water is more dense than the object itself.