Answer:
x ≈ 14.87
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 10² + 11² = 100 + 121 = 221 ( take the square root of both sides )
x = ≈ 14.87 ( to the nearest hundredth )
Answer:
<u>(1, 18)</u>
Step-by-step explanation:
Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.
Set y equal to the new right side.
y = -3(x - 1)
Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 1
k = 18
Vertex = (h, k) / (1, 18)
Answer:
We have the following equation: y = 36 - x. And we need to find which of the following points belong to the graph:
If any of the points belong to the equation, then the equality will be met.
Then:
7 = 36 - (-13)
7 = 36 + 13
7 = 49 ❌
1 = 36 - (-35)
1 = 71❌
5 = 36 - 11
5 = 25 ❌
3 = 36 - 27
3 = 9 ❌
None of the points belong to the graph. Therefore, all points are NOT on the grah of p(x) = 36 - x.
Answer:
Step-by-step explanation:
The standard equation of a horizontal hyperbola with center (h,k) is
The given hyperbola has vertices at (–10, 6) and (4, 6).
The length of its major axis is .
The center is the midpoint of the vertices (–10, 6) and (4, 6).
The center is
We need to use the relation to find .
The c-value is the distance from the center (-3,6) to one of the foci (6,6)
We substitute these values into the standard equation of the hyperbola to obtain:
The ionic compound produced would be Aluminum Oxide or Al2O3.
- The answer is C