Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. The fat
1 answer:
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To answer this question, you should draw it out- see the attached picture for the example. All the side lengths are labeled. You can then use the area of a trapezoid formula to find the total area.
A=1/2 (b1 + b2)h
You can see the substitution for each value in the work shown in the picture.
A=1/2 (b1 + b2)h
You can see the substitution for each value in the work shown in the picture.
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
Answer:
we have P(x) = mx + 1
Step-by-step explanation:
Allow me to revise your question for a better understanding:
<em>The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 23 meters, the pressure around her is 3.3 point, 3 atmospheres. The pressure p in atmospheres is a function of x, the depth in meters.</em>
My answer:
Given:
At O meter the the pressure is 1 (0, 1)
At 23 meters the the pressure is 3.3 (23, 3.3)
From that, we can form a linear equation with the standard form:
P(x) = mx + b (1)
The slope of (1) is:
<=> P(x) = 0.1x + b
Substitute the point (0, 1) into (1) we have:
1 = 0.1*0 + b
<=> b = 1
So we have the equation of this line will be: P(x) = mx + 1