Answer:
<u>Secant</u>: a straight line that intersects a circle at two points.
<u>Intersecting Secants Theorem</u>
If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
From inspection of the given diagram:
- M = Exterior point
- MK = secant segment and ML is its external part
- MS = secant segment and MN is its external part
Therefore:
⇒ ML · MK = MN · MS
Given:
- MK = (x + 15) + 6 = x + 21
- ML = 6
- MS = 7 + 11 = 18
- MN = 7
Substituting the given values into the formula and solving for x:
⇒ ML · MK = MN · MS
⇒ 6(x + 21) = 7 · 18
⇒ 6x + 126 = 126
⇒ 6x = 0
⇒ x = 0
Substituting the found value of x into the expression for KL:
⇒ KL = x + 15
⇒ KL = 0 + 15
⇒ KL = 15
If ( x - 1 ) * ( x + 3 ) = 0 => x = 1 or x = -3;
But, (x-1)(x+3)=1 => x^2 + 3x -x - 3 = 1 => x^2 + 2x - 4 = 0;the discriminant is 2^2 - 4 * 1 * ( -4 ) = 20 => the solutions are x1 =
( - 2 +
) / 2 ; x2 = - 2 -
) / 2;
The variation equation is p = kr^2
<h3>How to determine the variation equation?</h3>
The variables are give as:
Pressure = P
Radius= r
The direct variation from p to the square of r is represented as:
Express as an equation
p = kr^2
Where k represents the constant of variation
Hence, the variation equation is p = kr^2
Read more about variation at:
brainly.com/question/6499629
#SPJ1
If you are learning about how to calculate the mean of something, than to estimate the height just find the mean, all the peaks added together, and divided by the amount of numbers (27 + 18 + 12 = 57 ... 57 divided by 3 = 19. Your mean is 19)
<h3>
Answer: (1, -2)</h3>
Explanation:
Writing f(1) = -2 means x = 1 and y = f(x) = -2 pair up together
So we have (x,y) = (1, -2) as the point on the f(x) curve.
