Simplify. (2x5+x3−3x4−x+8)−(7x5+2x4−12+6x−5x3+x2) Enter your answer, in standard form, in the box.
1 answer:
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Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059
Answer:
(-2,-2)
Step-by-step explanation:
The closet point on a line to any given point is the point where a perpendicular line intersects them both. The perpendicular line to y=-x-4 that intersects (4,4) is y=x. If you graph them both, you will find that they intersect at (-2,-2).
