Answer:
<em>D. 69 Km</em>
Step-by-step explanation:
<u>Scaling</u>
Maps usually represent real areas on the field, but since they cannot fit in pieces of paper, we use scales where sizes and distances are all proportional to the real measurements.
On the map of the question, we know 1 cm represents 30 Km. It means that we can know approximate real distances by measuring the distances on the paper or blueprints.
Two cities are 2.3 cm apart on the map, it means that they are really 2.3*30 =69 Km apart
V = a^3
729 = a^3
9^3 = a^3
9 = a
answer. side length = 9 in
Hello! So, you use 120 pieces of fabric. You could not use all 120 pieces, because you can not make a square. The most you could use to make a square is 100. That would be 10 squares a row, with a side length of 6, which would make a perimeter of 60. Then, the other side would be 60. So 60 * 60 is 3600. The area of the blanket is 3600 square inches.
I'm assuming that you meant:
1
f(x) = -------- and that you want to find the value of x at which f(x) = h(x).
x+1
Of course you could create a table for each f(x) and h(x), but setting f(x)=h(x) and solving for x algebraically would be faster and more efficient:
1
f(x) = -------- = 2x + 3 = h(x). Then 1 = (x+1)(2x+3) = 2x^2 + 3x + 2x + 3
x+1
or 1 = 2x^2 + 5x + 3, or 2x^2 + 5x + 2 = 0.
This is a quadratic equation with a=2, b=5 and c=2. The discriminant is b^2-4ac, or 5^2-4(2)(2), OR 25-16= 9.
Thus, the roots are
-5 plus or minus sqrt(9)
x = ------------------------------------
2(2)
-5 plus or minus 3
= ----------------------------------
4
= {-1/2, -2}
Thus, f(x) = h(x) at both x=-1/2 and x= -2.