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LenaWriter [7]
3 years ago
13

If third vertex of the triangle is located in the first quadrant, what are the coordinates of the vertex? Round the coordinates

to the nearest hundredth.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

vertex =(h,k)

h=x

k=y

(1,4)

vertex is y=4 when x is 1

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2. The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the re
xz_007 [3.2K]

Answer:

  • The length = x = 15 units
  • The width = x-5 = 10 units

Step-by-step explanation:

Let 'x' be the length of a rectangle

As the width of a rectangle is 5 units less than the length.

so

width of rectangle will be = w = x - 5 units

Area = 150 square units

Using the formula

Area = length × width

150=\left(x\right)\left(x-5\right)

150=x^2-5x

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Subtract 50 from both sides

x^2-5x-150=150-150

x^2-5x-150=0

\left(x+10\right)\left(x-15\right)=0

if

ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+10=0\quad \mathrm{or}\quad \:x-15=0

x=-10,\:x=15

As length can not be negative. so

x = 15 units

Hence,

The length = x = 15 units

The width = x-5 = 15-5 = 10 units

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