Answer:
The answer to your question is below
Step-by-step explanation:
Data
Center = (0, 0)
Vertex = (13, 0)
Focus = (12, 0)
Process
From the data we know that it is a horizontal ellipse.
1.- Calculate "a", the distance from the center to the vertex.
a = 13
2.- Calculate "c", the distance from the center to the focus
c = 12
3.- Calculate b
Use the Pythagorean theorem to find it
a² = b² + c²
-Solve for b
b² = a² - c²
-Substitution
b² = 13² - 12²
-Simplification
b² = 169 - 144
b² = 25
b = 5
4.- Find the equation of the ellipse
or
9514 1404 393
Answer:
d. The triangles are not similar
Step-by-step explanation:
The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...
QR/RS = 4/15
In ΔVTU, we have ...
VT/TU = 8/32 = 1/4 ≠ 4/15
The triangles are not similar because corresponding sides are not proportional.
4x²=100
x²=100/4
x²=25
x=√25
x=+5 or -5
Answer:
3:25 pm
Step-by-step explanation:
The distance between New Orleans and Houston is : 353 miles
Departure time of the bus : 12:20 pm
Speed of the bus: 60 mph
After 45 minutes, the bus will be at a distance of : 45/60 * 60 = 45 miles
Distance remaining to cover = 353-45 = 308 miles
Speed of the motorcycle = 72 mph
Relative speed = 60 + 72 = 132 mph
Time the two will meet = 308 / 132 = 7/3 hrs
7/3 hrs = 2 hrs 20 minutes
Time the two will meet is ;
12:20 pm + 45 minutes + 2 hrs 20 minutes
= 3:25 pm
Answer:
(-3,4.5) (-3,5)
Step-by-step explanation:
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