The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?
2 answers:
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Answer:
Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:
Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:
Answer:
Yes, without using the distributive property, we get the value for the given expression 2(x - 3) ≤ 10 as x ≤ 8
Step-by-step explanation:
Here, the given expression is:
2(x - 3) ≤ 10
Yes, the given expression can be solved without using the DISTRIBUTIVE Property
Here, consider the given expression:
2(x - 3) ≤ 10
Now, divide the inequality by 2 on both sides, we get:
Now adding (+3) on both the sides, we get:
(x - 3) ≤ 5 ⇒ (x - 3 + 3 ) ≤ 5 + 3
or, x ≤ 8
Hence, without using the distributive property, we get the value of x ≤ 8 for the given expression 2(x - 3) ≤ 10