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Mekhanik [1.2K]
3 years ago
8

(3a³ - 5b³) + ? a³+ ? b³ =(a³+b³)​

Mathematics
1 answer:
White raven [17]3 years ago
6 0

Answer:

\boxed{-2; 6}

Step-by-step explanation:

Think of this as an ordinary addition problem.

What must you add to 3a³ to get 1a³?   Answer: add -2a³

3 + (-2) = 1

What must you add to -5b³ to get 1b³? Answer: add 6b³

-5  + 6 = 1

Then, the addition looks like this:

\begin{array}{rcr}3a^{3} & + & -5b^{3}\\\boxed{-2}a^{3} & + & \boxed{6}b^{3}\\a^{3} & + & b^{3\\\end{array}

The numbers in the boxes are -2 and 6.

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Using a white-board with graph paper or graphing technology such as Geogebra be able to perform a reflection for a pre-image ove
Marta_Voda [28]

Explanation:

The line of reflection is the perpendicular bisector of the segment joining a point with its reflected image.

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The segment joining a point with its reflection is as short as possible consistent with the requirement that the reflected point be the same distance from the line that the original is. That means it is perpendicular to the line of reflection. Since the distance from that line is the same on either side, the line of reflection bisects the joining segment.

7 0
3 years ago
HELP!!!
marusya05 [52]
The equation of an ellipse is x²/a²  + y²/b² =1

a being the distance between the center & x intercept =7
b being the distance between the center & y intercept =5

Hence the equation of this ellipse is:

x²/49 + y²/25 =1
3 0
3 years ago
Graph y = -x^2 - 2. Identify the vertex of the graph. Tell whether It is a minimum a<br> or maximum
lawyer [7]

Answer:

(0,-2)

maximum

Step-by-step explanation:

-x∧2-2 = -1 (x∧2) -2

so the vertex should be (0,-2)

As it is negative for the x∧2, so the graph opens downwards. So, the vertex is a maximum.

5 0
3 years ago
What is the value of k in the equation k/3 - 5 = 34?<br> 11 1/3<br> 13<br> 102<br> 117
mestny [16]

1. Add 5 to both sides

k/3 = 34 + 5

2. Simplify 34 + 5 to 39

k/3 = 39

3. Multiply both side by 3

k = 39 * 3

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6 0
3 years ago
Read 2 more answers
"Each week, a subcommittee of four individuals is formed from among the members of a committee comprising seven individuals. Two
denis-greek [22]

Answer:

140 weeks.

Step-by-step explanation:

We are being asked for the maximum number that can elapse without having 2 subcommitees with the same members and the same chair. Notice that the secretary is not mentioned in this statement, so we can ignore that position.

Now, the maximum number of weeks would be equal to the total possible combinations of subcommitees that can be formed from the 7 individuals commiteed, times the number of options that can sit at the chair possition.

The total possible combinations of subcommitees that can be formed from the 7 individuals can be expressed like the following expression. Notice that there is no a particular order to be considered, so we use the combination formula:

\left[\begin{array}{ccc}7\\4\end{array}\right] = \frac{7!}{4!(7-4)!} = 35

Now, each of the 4 individuals have the same probability of being chosen as the chair commitee. So, we have to multiply 4 times the number of possible subcommitees in order to arrive our answer:

x = 35 * 4 = 140

This would be the maximum number of subcommitees that can be formed with no subcommitees with the same members and the same chair occurring.

3 0
3 years ago
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