Answer:
=12 units
Step-by-step explanation:
When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.
Therefore, the Pythagoras theorem is used to find the hypotenuse.
a² + b² = c²
(6√2)²+(6√2)²=c²
72+72=c²
c²=144
c=√144
=12
The diagonals of the square measure 12 units each.
Answer:
Mean: 21
Median: 23
Mode: 27
Step-by-step explanation:
order from least to greatest:
1, 15, 18, 22, 23, 25, 27, 27, 31
mean: add all the numbers and divide by 9 bc thats how many numbers there are so that means the answer is
21
Median: to find the median you order the numbers from least to greatest and find out the middle number so in that case the median is 23
Mode: to find the mode you look to see what number is repeated multiple times, so the mode is 27
Answer:
y=125x+75
Step-by-step explanation:
Y= 125x+B
700=125(5)+B
700=625+B
700-625=625-625+B
75=B
Answer:
Step-by-step explanation:
Given
Required
Fill in the gap to produce the product of linear expressions
Split to 2
Factorize the first bracket
Represent the _ with X
Factorize the second bracket
To result in a linear expression, then the following condition must be satisfied;
Subtract b from both sides
Multiply both sides by 5
Substitute -15 for X in
The two linear expressions are 
and 
Their product will result in
<em>Hence, the constant is -15</em>
