Answer:
the points where the ellipse crosses the x- axis are (1.73, 0) and (-1.73, 0)
Step-by-step explanation:
To find the points at which a graphic crosses the x-axis we need to find the values for x where y = 0.
Therefore, in the equation x²- xy + y² = 3 we are going to make y = 0 and solve for x
x² - xy + y² = 3
x²- x(0) + (0)² = 3
x² = 3
x = ±√3
x₁ = 1.73 and x₂ = -1.73
Therefore, the points where the ellipse crosses the x- axis are (1.73, 0) and (-1.73, 0)
Answer:
Answer is 2
Step-by-step explanation:
Answer: 0.6kg of flour will be in each batch of scones.
Step-by-step explanation:
Adam has 16.45 kg of flour, and he used 6.4kg to make hot cross buns. This means that the remaining flour would be the total amount of flour that he had initially minus the the amount that he used to make hot cross buns. This is expressed as
16.5 - 6.4 = 10.05 kg
The remaining flour is exactly enough to make 15 batches of scones. This means that 10.05 kg of flour will be enough to make 15 batches of scones.
We want to determine how much flour, in kg, will be in each batch of scones. Let this amount of flour be xkg
If 10.05 kg of flour will be used to make 15 batches of scones. Then,
xkg of flour will be used to make 1 batch if stones
x = 10.05/15
x = 0.67
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)
B because it makes the most sense to me
