<h3>
Answer:<u>
3
/6 ÷ 9
/18 is 1
/1
</u></h3>
Step-by-step explanation: Steps for dividing fractions
Find the reciprocal of the divisor
<u>Reciprocal of 9/
18
: 18
/9 Now, multiply it with the dividend
So, 3/
6 ÷ 9/18 = 3
/6 × 18
/9
= 3 × 18/
6 × 9 = 54/
54
</u>
<u>After reducing the fraction, the answer is </u>
<u>1
/1</u>
<h2 />
Answer:
when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). The signs of the coordinates change .
In the given graph point H' is (-3,-2) .The pre image of this point will be point H .Point H will have coordinates which will have signs of both coordinates opposite to that of point H'.
Coordinates of point H will be (3,2)
Step-by-step explanation:
Answer:
The factors of the polynomial: (b⁴ - 2)(b² - 3)
Step-by-step explanation:
The given polynomial is: 
We can factor the given polynomial by grouping.
We get: 
Taking (b² - 3) common outside, we get:
Hence the polynomial 
can be factored as 
.
Hence, the answer.
Answer: The shortest side is 9ft
Step-by-step explanation: If the longest side is identified as 15 ft, then we already have our hypotenuse (the longest side in a right angled triangle).
If the shortest side is labelled as x, then the third side of the triangle would be labelled as 3x - 15 (15 less than three times the shortest side).
Now we have three sides of a triangle which we can label as 15, x and 3x - 15
By applying the Pythagoras theorem, AC² = AB² + BC²
(Where AC is the hypotenuse and AB and BC are the other two sides)
15² = X² + (3x-15)²
By expansion, (3x-15)² becomes 9x² - 90x + 225
Hence, 225 = X² + 9X² - 90X + 225
225 = 10X² - 90X + 225
Subtract 225 from both sides of the equation
10X² - 90X = 0
Factorize the left hand side of the equation by 10x
10x (x - 9)= 0
Therefore, either
10x = 0 OR
x - 9 = 0
If 10x=0, then x=0. OR
If x - 9 = 0, then x = 9
The length of the shortest side is 9ft.
