Answer:
38°
Step-by-step explanation:
4x-6x = -6 - 10
-2x = -16
__ __
-2 -2
x = 8
(6x-10)
(6(8)-10)
48-10
38°
No they're not proportionate because 9 divided by 4 = 2.25 and 11 divided by 6 is 1.83 so they're not the same in value
Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.
Answer:
x=20
Step-by-step explanation:
2(x+10)=60
distribute 2 by multiplying numbers in parenthesis
2x+20=60
subtract 20 from both sides
2x=40
divide both sides by 2
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x=20
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Answer:
280
Step-by-step explanation:
1514-1234 = 280
