Answer:
C
Step-by-step explanation:
A polynomial in standard form is first term, variable with largest exponent followed by decreasing exponents to the last term, the constant
Given
x³ - 7x + 7
- 19 + x² ← rearrange terms
= 7 + x³ + x² - 7x - 19 ← in standard form → C
20 and 24 are both divisible by 2, so divide 20 by 2, which equals 10, then divide 24 by 2, which is 12, now our fraction looks like this... 10/12, 10 and 12 are both divisable by 2, so that now equals 5/6, that is the simplest form for this fraction
First find the the value of t where the curve intersects the Y-axis. This is when x = 0.
x = t^2 - 2t = 0 = t(t - 2)
So t= 0 and t = 2
dA = (0 - x)*dy .... Since the curve has negative x in this region
y = SQRT(t) and dy = [(1/2)/SQRT(t)]dt
dA = [2t - t^2][(1/2)/SQRT(t)]dt
dA = [t^(1/2) - (1/2)t^(3/2)]dt
Integrate to get: A = (2/3)t^(3/2) - (1/5)t^(5/2)
Now evaluate from t= 0 to t = 2.
Area = [(2/3)2^(3/2) - (1/5)2^(5/2)] - [0]
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Area = SQRT(2)[4/3 - 4/5]
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Area = SQRT(2)[8/15) = 0.754
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Answer:
Length = 45.37 in
Width = 30.56 in
Step-by-step explanation:
Let the width of the picture be 'w' inches.
Given:
Perimeter of the picture is, 
Length is 15.75 inches shorter than twice the width. So, length is:
Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:
Plug in the values of 'l' and 'P' and solve for 'w'. This gives,
Therefore, the width of the rectangular picture is 30.56 inches.
Length of the picture is, 
So, length of the picture is 45.37 inches and width is 30.56 inches.
Answer:
1778 cm
Step-by-step explanation:
