Answer:
Step-by-step explanation:
If a point (x, y) is rotated 90° counterclockwise about the origin, rule for the rotation will be,
(x, y) → (-y, x)
Therefore, coordinates of the image point after the rotation will be (-y, x).
Following this rule,
Image points of the quadrilateral will be,
A(3, 3) → A'(-3, 3)
R(5, 7) → R'(-7, 5)
M(7, 5) → M'(-5, 7)
Y(5, 1) → Y'(-1, 5)
By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.
H(t) = -16(t^2) + 64t
roots:
0 = -16t^2 + 64t
0 = t^2 - 4t
0 = t(t-4)
t=0 and t =4
The symmetry axis is at the middle of the two roots: t = (0+4)/2
That time (t=2) is what it takes the object to reach the maximum height.
Answer: t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground
Answer:
1.3 pounds; on average, weight of a bag varies 1.3 pounds from the mean of 7 pounds
Step-by-step explanation:
the mean absolute deviation is 1.3 and the mean is 7. i just took this test today, hoped this helped:)
Answer: Both 4 barrels and 7 barrels of beer per crates of olives will allow both Germany and Portugal to gain from trade.
Step-by-step explanation: For every 1 crate of olives produced by Portugal, they will not be able to produce 3 barrels of beer in return. Therefore, for portugal to trade a crate of olives for barrels of beer more than 3 means they are gaining on the trade, in this case, they gain 1 (option A) and 4(option B) extra barrels of beer for every crate of olive traded with Germany. Likewise Germany gains in both cases because any exchange of barrels of beer that is less than 11 barrels of beer to a crate of olives is a gain for Germany. Therefore both 4 barrels and 7 barrels for a crate of olives will lead to both countries gaining.
Answer:
The last one
Step-by-step explanation:
when you are dividing an equation with exponents, you subtract the exponents from each other.
For example, in your problem you have d^4 and d^2 (notice that they have the same base) you subtract the exponents to get d^2
** even if the bases are numbers, you DONT touch the base, just the exponents ( ex.: 5^4 ÷ 5^3 = 5^1)
Do this w/ the rest of the exponents.
d^4 ÷ d^2 = d^2
e^3÷e^2= e
f^5÷f= f^4
** although f looks like it doesn't have an exponent, it has an invisible one
And w/ the power of deduction, you should get -2/3 d^2ef^4
