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MAXImum [283]
3 years ago
6

Factor completely, then place the answer in the proper location on the grid. a^6 - 25b^2

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0
This is the difference of 2 squares 

square root of a^6  = a^3
and square root of 25 b^2  = 5b  so we get 

(a^3 + 5b)(a^3 - 5b)

Thats the answer
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The regular hexagon shown has rotational symmetry. Which of the following is its angle of rotation?
Ilya [14]
I believe it’s 90 angel
5 0
3 years ago
How many terms are in the expression<br><br> a3 + 3a2b - 4b - 11b + 7<br><br> 5<br> 6<br> 4<br> 7
Contact [7]

Answer:

there are 5 terms!

Step-by-step explanation:

trust me

6 0
2 years ago
Find the area of a triangle with:
telo118 [61]

Answer:

161cm2

Step-by-step explanation:

Area: 1/2 x base x height

1/2 x 14 x 23=161

Area is measured in cm2

Hope this helps!

8 0
3 years ago
A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl
lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0
3 years ago
What is the median value of the data set shown on the line plot? Enter your answer in the box. A line plot with twenty-two data
Bogdan [553]
Answer: the median is 6.

Please see the picture attached.

A line plot shows the number of occurrences (crosses) of each number of a data set.

The median is the central value, the middle number, of a data set ordered from least to greatest. When there are two middle numbers, the median will be the mean between the two.

In order to find the median, look at the line plot: count how many values you have (22), then add 1 (23) and divide by two (11.5). Since we have an even number of values, we will have two middle numbers, which will be in the eleventh and twelfth position.

Count the crosses from the left, the eleventh and twelfth crosses both correspond to the number 6, therefore the median is 6.

You can also write all the numbers in increasing order and divide them into two equal groups:
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6 | 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

The median will be the average between the two central numbers, therefore 6 (again).


8 0
3 years ago
Read 2 more answers
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