Secant and tangent theorem: Square of measure of tangent is equal to the product of length of whole secant and length of exterior secant segment, i.e.
.
The whole secant with exterior secant 5 in is 5+y in. Using this theorem you can state that
.
Solve this equation:
in.
Answer: y=11.2 in.
other endpoint?
A (3,5.5)
B (9, 12)
C (12,5)
D (9, 13)
Answer:
the answer is the letter D
By rearranging the midpoint formula, it can be determined that the other endpoint of the line segment is (9, 13) (option D) when one endpoint is (1,3) and the midpoint is (5,8).
This question relates to coordinate geometry, a branch of mathematics. In coordinate geometry, the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is determined by the mean of the x-coordinates and y-coordinates, meaning the midpoint (xm, ym) is given by ((x1+x2)/2, (y1+y2)/2). If you have one endpoint ((x1, y1) which is (1,3) in this case) and the midpoint (xm, ym which is (5,8) in this question), you can solve for the unknown endpoint (x2, y2) by rearranging the midpoint formula to x2 = 2*xm - x1 and y2 = 2*ym - y1. Substituting the given coordinates into the formulas, we find that x2 = 2*5 - 1 = 9 and y2 = 2*8 - 3 = 13. Therefore, the other endpoint of the line segment is (9,13), hence option D is the correct answer.
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Answer:
The given system of linear equations has infinite many solutions.
Step-by-step explanation:
Given equations are
σ-2ζ=3 eqn 1
4σ-8ζ=12 eqn 2
We will use elimination method to solve the linear system
Multiplying equation 1 by 4
4(σ-2ζ) = 4(3)
4σ-8ζ=12
We can see that the both equations in the system are same i.e. we get the same equations by simplifying the equations. The graph of both equations will overlap completely.
This means that the system has infinite many solutions.
Hence,
The given system of linear equations has infinite many solutions.
Answer:
56
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
We have to assume that the question is referring to the doubly-shaded length, the one that is 10 bright blue units long.
You can read the overall length of the shaded area as 5/4, from the markings.
For the next part, you need to count the number of units that are shaded bright blue (10) and the number that are shaded blue overall (15). As a fraction of those shaded blue overall, the ones shaded bright blue are 10/15 = 2/3.
So, the length shaded bright blue is 2/3 of the overall length of 5/4. It is represented by the product ...
The value of y intercept in the given equation of line is -6 or (0,-6) .
Given,
Equation of line :
2x + 5y = −30
Now,
y intercept is when the line crosses the y axis or when x = 0
Substitute x = 0 in the equation of line to get the y intercept value .
So,
2(0)+5y=-30
0+5y=-30
5y=-30
divide 5
y=-6
Thus,
value of y intercept is -6 or (0,-6)
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