What is the factored form of 27d^6+8g^12?
Answers
Answer
(3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
Explanation
We can factor out the following equation as follows:
27d⁶ + 8g¹² = 3³d⁶ + 2³g¹²
= (3d²)³ + (2g⁴)³
= (3d² + 2g⁴)((3d²)² - 3d²2g⁴ + (2g⁴)²)
= (3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
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Answers
Answer:
A. 12+2p
G. p+p+12
Step-by-step explanation:
The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game
Number of points scored in the last game of the season = 2p + 12
A. 12+2p
Equivalent
B. 2+p+12
= P + 14
Not equivalent
C. 2+12p
Not equivalent
D. p(2+12)
= 2p + 12p
Not equivalent
E. p+2+12
= P + 14
Not equivalent
F. 12p+2p
Not equivalent
G. p+p+12
= 2p + 12
Equivalent
Answers
1
5x
J
K
8x
1 = 101.5 units, w = 162 4 units
1=35 8 units, w = 23 units
1 = 100 units, w = 62 5 units
1 = 28 units, w = 175 units
Answers
Answer:
d. 17.5 and 28 units
Step-by-step explanation:
An area of a rectangle is length times width. 8x times 5x = 40x^2. 40x^2 is eqaul to 500. After dividing by 40 and taking the square root of the quotient, x is approximately 3.54. 5 times 3.54 and 8 times 3.54 will yield approximately 17.5 and 28 units.
Answers
a - b >= 0 (subtracting b from both sides)
and -b >= -a (subtracting a from both sides)so that
-a <= -b (rewriting the inequality in reverse)
This shows that when you multiply an inequality by -1 (which is partof what you do when you divide by a negative number), you reverse theinequality.
Answers
Answer:
B
Step-by-step explanation:
First simplify the first term to get
10y^4
then multiply 10y^4 by 4 square root 6y^3
40y would be all you needed to get answer
Answer:
40y^5√6y (B)
Step-by-step explanation:
Let's multiply 2√25y^8 * 4√6y^3:
8√150y^11 (When you multiply exponents with the same base, you can just add the exponents and keep the same base:
Ex. 4^5 * 4^9 = 4^14)
Let's simplify 8√150y^11
√150 = 5√6
√y^11 = y^5√y
So our final answer would be:
40y^5√6y
1.75x – 2
Answers
Answer:
1.75×2-2
Step-by-step explanation:
Final answer:
The perimeter of an equilateral triangle, with side length expressed as 1.75x – 2, can be found by tripling the side length expression. Thus, the simplified expression for the perimeter is 5.25x – 6 centimeters.
Explanation:
The question concerns a geometric concept - the perimeter of an equilateral triangle. An equilateral triangle is a triangle in which all three sides are equal. Therefore, to find the perimeter (the distance around the triangle), we simply add up the lengths of all the sides. Since all sides are equal for our triangle, we can multiply the length of one side by three to get the total perimeter.
The given expression for the side length of the equilateral triangle is 1.75x – 2. That's one side. Since an equilateral triangle has three sides of equal lengths, the expression for the perimeter will be 3 times the expression given for one side. Therefore, multiply the expression 1.75x – 2 by 3. So, P = 3(1.75x – 2). By distributing the 3, the simplified expression for the perimeter (P) is P = 5.25x – 6 (centimeters). Thus, the expression 5.25x – 6 simplifies the perimeter of the equilateral triangle in terms of x.
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