Answer:
(x²/4) + (y²/16) ≤ 1
Step-by-step explanation:
The general form of the ellipse in the graph is
x²/4 + y²/16 = 1
we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct
Choice 1: x²/4 + y²/16 ≥ 1
Choice 2: x²/4 + y²/16 ≤ 1
we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.
try choice 1: 0²/4 + 0²/16 = 0 ≥ 1 (not valid because obviously zero is smaller than 1)
try choice 1: 0²/4 + 0²/16 = 0 ≤ 1 (this is valid, hence choice 2 is the answer)
Answer:
x = 2 and x = 10
Step-by-step explanation:
(x+3)^2 = (x - 5)^2 + (x + 2)^2
x^2 + 6x + 9 = x^2 - 10x + 25 + x^2 + 4x + 4
x^2 + 6x + 9 =2x^2 - 6x + 29
x^2 - 12x + 20 = 0
(x - 10)(x - 2) = 0
x - 10 = 0; x = 10
x - 2 = 0; x = 2
Answer:
y=7
Step-by-step explanation:
The two given angels are congruent so they must be equal in measure.
Set them up equal and find y.
8y = 5y + 21, subtract 5y from both sides
8y -5y = 21, combine like terms
3y = 21, divide both sides by 3
y = 7
