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:
(-9, 10)
Step-by-step explanation:
The location of the midpoint of a line with endpoint at (
) and (
) is given as (x, y). The location of x and y are:
Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:
Hence the endpoint is at (x2, y2) which is at (-9, 10)
The properties that were used to derive the properties of logarithms are:
1. a^x · a^y = a^(x+y)
2. a^x / a^y = a^(x - y)
3. a^0 = 1
4. a^(-x) = 1 / x
5. (a^x)^y = a^(<span>xy)</span><span>
</span>
Answer: 322
Step-by-step explanation:
23 students × 14 homework
=322 problems
The teacher will have to grade 322 problems
