so... you can keep on going towards the negatives with "x", or towards the positives with "x", notice, if the "x" is negative, "y" is just a fraction, positive, but a fraction
and if "x" is positive, "y" is a positive integer
even when x =0, "y" never became 0, and is never negative either
so, the range is, "y" is always positive, but not 0, or
y>0
X= -8 that uis your answer for that question :)
Perimeter is the sum of all the sides. One length equals (x+4) so both of the lengths will equal 2(x+4) = 2x+8. One width is (2x-7) so both will equal 2(2x-7) = 4x-14.
we can write this into an equation like so:
2x+8+4x-14=42
6x-6=42
6x=48
x=8
Then we substitute 8 back into the equations for the lengths of the sides.
8+4= 12 so the length is 12cm
2x8= 16, 16-7=9 so the width is 9cm
Let
x--------> the length side of the square base
h--------> the height of the box
we know that
<u>the volume of the box is equal to</u>
so
<u>the surface area of the box is equal to</u>
(remember that the box is open)
area of the base=
Perimeter of the base=
height=(h) m
substitute
we know that
the value of x can not be negative and the denominator can not be zero
therefore
<u>the answer is</u>
the domain of SA is x> 0
the domain is the interval-------------> (0,∞)
SOH CAH TOA tells you the sine ratio is
Sin = Opposite/Hypotenuse
sin(x) = 12.5/15
Then the angle x can be found using the inverse function.
x = arcsin(12.5/15) ≈ 56°
The appropriate choice is
b) 56
