An international calling plan charges a rate per minute plus a flat fee. A 10-minute call to France costs $3.19. A 15-minute cal
1 answer:
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Answer:
The point A will be (-8,14) or (-8,-10).
Step-by-step explanation:
Point B has coordinates (1,2) and the x-coordinate of point A is - 8.
Let us assume that the coordinates of point A are (-8,k).
Now, given that the point A is 15 units apart from point B.
Therefore, from the distance formula, we can write that
Now,squaring both sides, we get
⇒
⇒ 2 - k = ± 12
⇒ k = 14 or -10.
Therefore, the point A will be (-8,14) or (-8,-10). (Answer)
We know that the distance between two points on the coordinate plane () and (
) is given by
.
Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
