Function G is represented by the equation y = 3x – 2, and function F is shown on the graph
1 answer:
Answer:
<h2>Both functions have a y-intercept of -2.</h2>Step-by-step explanation:
The given equation is
This equation belongs to a linear function, which means its graph is a straight line, that means the second choice is wrong, beacuse the graph is a parabola, not a straight line.
Also, the parabola is a movement that increases and decreases at certain intervals, it has both behaviors, so the third choice is also wrong.
The symmetry of this parabola is about the y-axis, however, a linear function doesn't have the same symmetry, so the last choice is wrong.
Therefore, the first choice is the right answer, both function has the same y-intercept at -2.
Remember, in a linear function, the constant term represents the y-intercept.
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Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π =
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 × × (3.5)²
48 = Ф/360 × ×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°