Answer:
Step-by-step explanation:
y = a(x-h)² + k, where (h,k) is the vertex.
vertex is clearly (0,0), so y = ax².
Plug in (3,3) and solve for a:
3 = a3²
a = ⅓
y = ⅓x²
Answer:
x=16/3
Step-by-step explanation:
left part : -1+3x-8
right part: 7
left part = right part
-1+3x-8=7
left part +8= right part +8
-1 + 3x -8 +8=7+8
-1+3x=15
left part : -1+3x
right part : 15
left part+1=right part+1
-1+3x+1=15+1
3x=16
so
x=16/3
Answer: (3.75,5.5)
Hope this helps
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
<h3>What inequality represents the figure</h3>
In accordance with the figure, we have an inequation of the form y ≥ f(x). Now we proceed to find the <em>quadratic</em> equation of the parabola:
f(x) = a · (x + 1) · (x - 9)
- 125 = a · (4 + 1) · (4 - 9)
- 125 = a · 5 · (- 5)
- 125 = - 25 · a
a = - 5
f(x) = 5 · (x + 1) · (x - 9)
f(x) = 5 · (x² - 8 · x - 9)
f(x) = 5 · x² - 40 · x - 45
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
To learn more on inequalities: brainly.com/question/17675534
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Answer:
42.1 cm
Step-by-step explanation:
θ = 265°
Radius (r) = 9.1 cm
Arc length of major arc GH = θ/360 × 2πr
Plug in the values into the equation
Length of arc GH = 265/360 × 2 × π × 9.1
= 42.0886149
= 42.1 cm (nearest tenth)
