Answer:
Options A, C and F are correct
Step-by-step explanation:
The expression in the question has a slight error in it
<em>"17.75x + 24 = 18.95x + 18"</em> is mearnt to be 17.95x + 24 = 18.95x + 18
Options A, C and F is correct
Given the expression for the situation
17.95x + 24 = 18.95x + 18
collect like terms
17.95x-18.95x=18-24
-x=-6
divide both sides by -1 and solve for x we have
x=6
The girls will both pay the same if they buy six pairs of pants and one sweater.
Answer:
yes
Step-by-step explanation:
A reflection across the y axis. You can tell by seeing that figure a looks like it's looking into a mirror at figure b. You can also tell because the points on figure a are the same distance away from the y-axis as they are on figure b.
Answer:
x/y
Step-by-step explanation:
The question is badly worded, to the point of being impossible to answer as it is written.
We presume the given point (x, y) is (cos(θ), sin(θ)). The definition of cot(θ) is cos(θ)/sin(θ), so matches x/y with our assumed definitions of x and y.
Answer:
The long fence, AC = 44 feet
4 shorter segments at 11feet each = 44 feet
Area = 484 ft^2
Step-by-step explanation:
The three pens will share one fence section parallel to the barn, we'll call it AB. Each pen will need two side fence segments, from the front fence to the barn. We'll call those portions AC. We need four of them: two for the outer sides and two more to divide up the space equally among the three pens. The total area would be AB*AC.
We know that AC + 4AB = 88 feet.
or AC = (88feet - 4AB)
Area = AB(88feet - 4AB)
Area = 88AB - 4AB^2
To maximize the area, we can take the first derivative and set it equal to zero:
Area' = 88 - 8AB
0 = 88 - 8AB
AB = 11 feet
AC = (88 - 4AB)
AC = (88 - 44)
AC = 44 feet
The fours segments of fence:
AC + 4AB = 88 feet
(44) + 4(11 feet) = 88feet
Area = 44' x 11 ft' = 484 ft^2
