Answer:
y = (1/5)x² or y = x²/5
Step-by-step explanation:
We have the function f(x) = ax² and are given that the point (5,5) is on the parabola. We need to find 'a'. f(x) can be replaced with 'y', so we can rewrite the equation as...
y = ax²
We know that when x = 5, y = 5, so we have
5 = a(5²) now simplify...
5 = 25a
5/25 = a
1/5 = a, so our equation becomes
(1/5)x² or x²/5 (the expressions are equal)
In order to calculate the total cost of the purchase, we must first assess that there were two items bought, turkey and lamb. Next, we see multiply the cost of the first item by its quantity, so:
cost(T) = 2.15 * 7.89
cost(T) = $16.96
And repeat for the second item:
cost(L) = 1.87 * 7.89
cost (L) = $14.75
Finally, the total cost is the sum of these costs. So
Total = 16.96 + 14.75
Total = $31.71
<span>The <u>correct answer</u> is:
576 sq. cm.
Explanation:
The surface area of a figure is the sum of the areas of the faces of the figure.
The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base <span>of the triangular face, 12 cm.
The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.
There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.
The area of the base is given by length times width, or 12*12 = 144 sq. cm.
This gives us a total surface area of 432+144=576 sq. cm.</span></span>
In slope intercept form this would just be: y=-3
i need help in that answer too. i was just bout to ask this one
