Please use " ^ " to indicate exponentiation: <span>y=−0.5x^2+8x
Examining this function, we see that its graph is a vertical parabola opening down.
You did not supply instructions for this problem.
However, one could guess that you might want to find the highest point of the grasshopper's path. To do this, find the vertex: Find the x value defined by
x = -b/(2a). Here, a= -0.5 and b= 8. Thus, the vertex is at x = -8/(2[-0.5]), or
x -8/(-1) = 8 units. The corresponding y value is then
y = </span><span>−0.5*8^2+8(8) = -0.5(64) + 64, or 32 units.</span>
It’s option 2. Which is A and B. I had this exact question on a math test
Answer:
65 in and 39 in respectively
Step-by-step explanation:
Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle, Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:
2(5r) + 2(3r) = 16r = 208 in
Then r = 208/16 = 13
Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),
or 65 in and 39 in respectively.
As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.
Then
It could be any value at first and then a negative equivalent
Answer:
I will not give in answer but will give an example
Step-by-step explanation:
The area of irregular shapes can be determined by dividing the given shape into smaller regular shapes. The area of irregular shapes can be determined by dividing the given shape into smaller regular shapes.
In real life figures are often irregular shapes - a little bit messy. Think of your messy bedroom once more ‐ is it a perfect rectangle?
The trick is to break these figures into shapes that you know well and whose area you know how to find.
1. Find the area of this room:
3- 2 -4 -6 irregular shape
This can be done in two different ways but ill only give one example on how to find an area.
Method #1
Divide the figure into two rectangles and find all missing lengths.
The larger rectangle has an area of
4cm x 7cm = 28cm2
The smaller rectangle has an area of
4cm x 2cm = 8cm2
If we combine these we will find the total area:
28cm2 x 8cm2 = 36cm2
hope this helps :)