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:
Heudududuudidiirirururuririiririrjr
The property shown is a B: substitution property, this is when you you the know that X=Y so X can be substituted in any equation with Y and Y can be substituted in any equation with X. hope this helps
(f+g)(x) = f(x) + g(x) = x + 11 + 3x^2
(f+g)(5) = f(5) + g(5) = 5 + 11 +3(5^2) = 91
Answer:
x is 10
Step-by-step explanation:
Form the diagram, you can see that UV is parallel to TS, this means that <UVS = < UTS
Given
<UVS = 5x + 38
<UTS = 12x - 28
Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;
5x + 38 + 12x - 28 = 180
Collect like terms
5x + 12x - 28 + 38 = 180
17x + 10 = 180
17x = 180-1-
17x = 170
x = 170/17
x = 10
hence the value of x is 10
