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snow_tiger [21]
3 years ago
7

The value of a professional basketball player's autograph rose 40% in the last year. It is now worth $364.00. What was it worth

a year ago?
Mathematics
1 answer:
Olin [163]3 years ago
4 0
F it rose 10% that means that it is now worth 110% of what it was a year ago. So set up an equation: 297 = 110% of x297 = 1.1 x270 = x So it was worth $270 a year ago.
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Answer:

Its c

Step-by-step explanation:

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Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl
GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane n=(-2,-2,1), then r will have the next parametric equations:

x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3

Substitute the value of \lambda in the parametric equations:

x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u

7 0
3 years ago
Wayne plays multiple instruments in a rock band. He also composes the songs. He takes 36 weeks to write the songs for an album o
sammy [17]

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5 0
3 years ago
Read 2 more answers
Find the slope of the line passing through the points (-3, 7) and (2, -6)
Sliva [168]

Answer:

The slope of the line passing through the points (-3, 7) and (2, -6) is -13/5.

Step-by-step explanation:

Use the slope formula to find the slope of the line based on two points.

m = y₂ - y₁/x₂ - x₁

Substitute the values

m = -6 - 7/2 - (-3)

Simplify.

m = -13/5

The slope of this line is -13/5.

4 0
3 years ago
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