The formula for arc length is s=r*angle theta where s is the arc length, r is the radius, and angle theta is central angle formed by the arc in radians.
In this case, the angle would be s/r or 4.2/4 which is 1.05 radians. We have to convert this into degrees and so you would multiply 1.05 by (180/pi) which results in approximately 60 degrees. Remember, if you want to convert radians into degrees, the conversion factor is 180/pi and for degrees into radians, it is pi/180.
Answer:
y = -5
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-9 = 2(18) + 9y
<u>Step 2: Solve for </u><em><u>y</u></em>
- Multiply: -9 = 36 + 9y
- Subtract 36 on both sides: -45 = 9y
- Divide both sides by 9: -5 = y
- Rewrite: y = -5
<u>Step 3: Check</u>
<em>Plug in y to verify it's a solution.</em>
- Substitute: -9 = 2(18) + 9(-5)
- Multiply: -9 = 36 - 45
- Subtract: -9 = -9
Answer:
The statement that correctly uses limits to determine the end behavior of f(x) is;
so the end behavior of the function is that as x → ±∞, f(x) → 0
Step-by-step explanation:
The given function is presented here as follows;
The limit of the function is presented as follows;
Dividing the terms by x², we have;
As 'x' tends to ±∞, we have;
However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;
Therefore, we have;
The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;
so the end behavior of the function is that as x → ±∞, f(x) → 0.
Answer:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola. You know that two points determine a line.
Step-by-step explanation:
Answer:
y = 3x + 4
Step-by-step explanation:
✔️First, find the slope using any two given pairs form the table, say (2, 10) and (5, 19):
Slope (m) = ∆y/∆x = (19 - 10) / (5 - 2) = 9/3
m = 3
✔️Find y-intercept (b) by substituting (x, y) = (2, 10) and m = 3 into y = mx + b
10 = 3(2) + b
10 = 6 + b
10 - 6 = b
4 = b
b = 4
✔️Write the equation by substituing m = 3 and b = 4 into y = mx + b
y = 3x + 4