The area is 14 units square. It can be calculated by drawing the vertices.
Answer:
The first one and the last one
Step-by-step explanation:
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.
(x +4)² = (2x -1)(2x -1 +9)
0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)
0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)
This has solutions x = -4 and x = 2. Only the latter works in this geometry.
x = 2
The answer to the question
Answer:
~1.8 mile
Step-by-step explanation:
Michael lives at the closest point to the school (the origin) on Maple Street, which can be represented by the line y = 2x – 4.
This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.
Denote equation of y2 is y = ax + b,
with a is equal to negative reciprocal of 2 => a = -1/2
y2 pass the origin (0, 0) => b = 0
=> Equation of y2:
y = (-1/2)x
To find location of Michael's house, we get y1 = y2 or:
2x - 4 = (-1/2)x
<=> 4x - 8 = -x
<=> 5x = 8
<=> x = 8/5
=> y = (-1/2)x = (-1/2)(8/5) = -4/5
=> Location of Michael' house: (x, y) = (8/5, -4/5)
Distance from Michael's house to school is:
D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) = ~1.8 (mile)
