About 4:39.
Hope this helps~!
~{Isle of flightless birds}
I may be wrong but I am sure this is the equation...
$628.35= $89.95+4x
Answer:
Step-by-step explanation:
3x + 7 + 9x - 43 = 180
12x = 216
x = 18
m∠4 = 3(18) + 7 = 61°
m∠5 = 9(18) − 43 = 119°
Horizontal tangents are such that d<em>y</em>/d<em>x</em> = 0; this happens when
(<em>y</em> - 3) / (<em>x</em> - 3) = 0 → <em>y</em> - 3 = 0 → <em>y</em> = 3
so (I) is true.
Vertical tangents are such that their slope is undefined; this happens when the denominator vanishes, or
<em>x</em> - 3 = 0 → <em>x</em> = 3
so you are right that (II) is not true.
To assess whether (III) is correct, consider what happens at different nearby points (with neither <em>x</em> = 3 nor <em>y</em> = 3) where the <em>y</em> coordinate is kept the same so that the tangent lines occur in the same row. For example,
<em>x</em> = 0, <em>y</em> = 0 → d<em>y</em>/d<em>x</em> = (-3)/(-3) = 1
<em>x</em> = 1, <em>y</em> = 0 → d<em>y</em>/d<em>x</em> = (1 - 3)/(-3) = 2/3
<em>x</em> = 2, <em>y</em> = 0 → d<em>y</em>/d<em>x</em> = (2 - 3)/(-3) = 1/3
The slopes are not the same - they have to be if these tangents are supposed to be parallel - so (III) is not true.
This makes A. (I) only the correct choice.
Answer:
111 Feet
Step-by-step explanation:
The feet of antique picket fencing are to be used to enclose the garden is equivalent to the perimeter of the flower garden.
The perimeter P of a rectangle whose length is L and width is W is given as
P = 2( L + W)
Given that the width is exactly two-thirds of the length
then, W = 2/3 L and P = 370 feet
L = 3/2 W = 1.5W
370 = 2 ( 1.5W + W)
370 = 5W
W = 370/5
= 74 Feet
L = 1.5W
= 1.5 * 74
= 111 Feet
