The correct answer is:
A line that crosses segment at right angles while dividing the segment in half is called <u>a perpendicular bisector</u>
Step-by-step explanation:
A bisector is a line that divides a line segment in two equal parts. A perpendicular bisector is a line that is perpendicular to given line segment and passes through the mid-point of the line segment. It can also be said as that the line perpendicular to a line segment that divides the lines in half is called the perpendicular bisector.
The correct answer is:
A line that crosses segment at right angles while dividing the segment in half is called <u>a perpendicular bisector</u>
Keywords: Perpendicular, bisector
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Answer:
(-3, 9), (-1, 11), (0, 12), (4, 16), (6, 18)
Step-by-step explanation:
The function definition tells you that adding 12 to the x-value will give you the value of f(x).
-3 +12 = 9, for example
The (x, f(x)) values for the table are shown above.
Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.
<u>Given the following data:</u>
<h3>How to determine the y-intercept of this function?</h3>
Mathematically, a sine function is modeled by this equation:
y = Asin(ωt + ø)
<u>Where:</u>
- A represents the amplitude.
- ω represents angular velocity.
- ø represents the phase shift.
Also, the period of a sine wave is given by:
t = 2π/ω
2 = 2π/ω
ω = 2
Substituting the given parameters into the equation, we have;
y = 3sin(2t + π/2)
At t = 0, we have:
y = 3sin(2(0) + π/2)
y = 3sin(π/2)
y = 3sin(90)
y = 3 × 1
y = 3.
In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.
Read more on phase shift here: brainly.com/question/27692212
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an equation for a circle has formula
(x-m)² + (y-n)² = r²
where (m,n) is its center
and r is its radius
so, the equation has center (4,3) and radius 4
the equation is derived from the pythagorean theorem
Using the equations for tangent and secant lines:
Let the unknown length of the line inside the circle = y
6^2 = 3 x (y+3)
Simplify:
36 = 3y+9
Subtract 9 from both sides:
27 =3y
Divide both sides by 3:
Y = 9
Now add to get x:
X = 9 + 3 = 12
X = 12