Answer:
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If the width of the reactangle is x=13, the area of the rectangle is:
A(13)=2*(13)^2-5*(13)
A(13)=2*(169)-65
A(13)=338-65
A(13)=273
The area of the rectangle is 273 square units
Answer:
yes it is a function
the domain is (-3, 8]
the range looks like (-5, 2.5]
Step-by-step explanation:
using the vertical line test, you can find that it is a function
the domain is all the x values between -3 and 8. -3 is not included since there is an open circle
The range is all the y values
Answer:
Step-by-step explanation:
6) taking 45 degrees as the reference angle,
the adjacent side is √6
The opposite side is x
The hypotenuse is y
Therefore, we would apply trigonometric ratio.
Tan # = opposite side / adjacent side
Tan 45 = x/√6
1 = x/√6
x = 1 × √6 = √6
Cos # = adjacent side/hypotenuse
Cos 45 = √6/y
Cos 45 expressed in surd form is √2/2. Therefore,
√2/2 = √6/y
y √2 = 2√6
y = (2√6)/√2