Answer:
{-8,28}
Step-by-step explanation:
|10-x|=18
The absolute value has two solutions, one positive and one negative.
10-x = 18 and 10-x = -18
Subtract 10 from each side
10-10-x = 18-10 10-10-x=-18-10
-x = 8 -x = -28
Multiply each side by -1
x = -8 x = 28
Answer:
D. x = 0; y = -6
Step-by-step explanation:
There is a vertical asymptote at the value of x that makes the denominator zero. That value is x=0. This is sufficient to choose the correct answer.
When x gets large, the term 1/x nears zero, so the value of y nears -6. This is the horizontal asymptote.
vertical asymptote: x = 0; horizontal asymptote: y = -6
The triangle that is formed from by connecting the shadow, the tree and the endpoints of each is a right triangle. The two triangles formed (by the tree and its shadow, and by Rachel and her shadow) are similar. In similar triangles, the corresponding sides are proportional. Thus, to give the numerical answer to this item,
length of the tree/14 ft = 6 ft / 3.5 ft
length of the tree = 24 ft
The volume is the height times the lenght times the width (order does not matter in this case).
4.5 x 3.5 x 7= 110.25
The volume of this block of wood is 110 inches.
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(the opposite of the multiplication of 6 is to divide each side by 6)
6y = 192
6y ÷ 6 = 192 ÷ 6
y = 192 ÷ 6
y = 32
The answer is D. 32