We fill in the jump discontinuity and go for the point on the line.
Answer: A. 2
The area of the floor is (16-ft x 14-ft) = 224 square feet.
IF carpet cost $16 per square foot, THEN enough carpet
to cover that floor would cost
(224) x ($16) = $3,584 ,
and PLUS, you'd need to buy 224 square feet of pad to lay down
under the carpet, and pay more to have the whole thing installed.
That's an awful lot of money for a little dinky 12' x 14' bedroom !
Carpet does NOT cost $16 per square foot.
It's more like $16 per square YARD (plus pad and installation).
9 square feet = 1 square yard.
The area of the bedroom is (224/9) = 24-8/9 square yards
At $16 per each of those, the carpet costs (24-8/9) x ($16) = $398.22 .
Much more reasonable !
The answer you will get is 8 because your going to do 6+10 which equal 16 then divide 16 divide by 2 which gives you 8
Answer: Width=2.86 in.
Explanation: Since we have a proportion, we can use the equation 1.8/4.4=1.17/x.
Cross multiplying gives us 1.17*4.4=1.8x and solving for x gives us 2.86 in.
It works the same way if it begins negative, the negative in front of the 'x' terms just means that the hyperbola opens vertically.
'b' refers to distance from center to vertices in the 'y' direction because 'b' is with y term.
The vertices are at (0, +-4), b = 4
To find 'a' use the slope of the asymptotes.
slope = b/a = 4/a
Estimate slope by using a point that is farthest away from orgin, (10,20.5)
The asymptote will be slightly below the point (10,20)
This gives a slope of 20/10 = 2.
4/a = 2 ----> a = 4/2 = 2
Answer: a = 2, b = 4