Answer:
A = 325 yd^2
Step-by-step explanation:
The area of a parallelogram is found by multiplying the base times the height
A = bh
A = 15* 21 2/3
Changing the mixed number to an improper fraction
21 2/3 = (3*21+2)/3 = 65/3
A = 15 * 65/3 = 15/3 *65 = 5*65 =325
A = 325 yd^2
Answer:
2
Step-by-step explanation:
Simplify the following:
(-(2 + 2/3))/(-(1 + 1/3))
(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):
(2 + 2/3)/(1 + 1/3)
Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:
(2 + 2/3)/(3/3 + 1/3)
3/3 + 1/3 = (3 + 1)/3:
(2 + 2/3)/((3 + 1)/3)
3 + 1 = 4:
(2 + 2/3)/(4/3)
Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:
((3×2)/3 + 2/3)/(4/3)
3×2 = 6:
(6/3 + 2/3)/(4/3)
6/3 + 2/3 = (6 + 2)/3:
((6 + 2)/3)/(4/3)
6 + 2 = 8:
(8/3)/(4/3)
Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:
(8×3)/(3×4)
(8×3)/(3×4) = 3/3×8/4 = 8/4:
8/4
The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:
Answer: 2
9514 1404 393
Answer:
-13 < x ≤ 4
Step-by-step explanation:
The round bracket means the lower limit is not included in the interval. The square bracket means the upper limit is included.
-13 < x ≤ 4
Answer:
A - x (x+3) = Area of the rectangle
B- 28 inches squared
Step-by-step explanation:
B- using the formula from A
x = 4
x + 3 = 4 +3 = 7
4 times 7 is 28
The quotient in polynomial form is C. x² - x ₊ 1.
<h3>What is synthetic division?</h3>
In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.
The given problem is-
-3 | 1 2 -2 3
Using synthetic division method,
-3 | 1 2 -2 3
<u>| -3 3 3 </u>
|1 -1 1 6
So, the remainder from the calculation is 6 .
And the quotient polynomial is x² - x ₊ 1.
Hence, the correct answer for the given question is C. x² - x ₊ 1
More about Synthetic division method :
brainly.com/question/12642065
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