Answer:
3x(2x - 3)(2x + 3)(5x - 1).
Step-by-step explanation:
60x4 − 12x3 − 135x2 + 27x
= 3x(20x^3 - 4x^2 - 45x + 9) We can factor what's in the parentheses by grouping:
= 3x(4x^2( 5x - 1) - 9(5x - 1))
= 3x (4x^2 - 9)(5x - 1) Now we factors 4x^2 - 9:
= 3x(2x - 3)(2x + 3)(5x - 1).
The required equation of a line is y = 9/5 (4x - 12)
Given-
The point from which the line passes through is (3,2)
The slope of the given line m is -4/5.
Equation of the line
The linear equation of a line can be represented by a set of points on a graph using the equation of the line.
The standard form of the line passing through the point x₁, y₁
The slope m is given by,
m = (y - y₁) / (x - x₁)
Put the values of points and slope in the above equation, we get,
-4/5 = (y - 2) / (x - 3)
-4/5(x - 3) = y -2
-4x/5 + 12/5 = y - 2
-1/5 (4x - 12) + 2 = y
y = 9/5 (4x - 12)
The linear equation of a line can be represented by a set of points on a graph using the equation of the line. The following equation depicts a line that crosses (3, 2) and has a slope of -4/5: y = 9/5 (4x - 12)
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Answer:
Prat 9) 
Part 10) 
Part 11) 
Part 12) 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
SF-----> the scale factor
a----> area of the shaded figure
b----> area of the unshaded figure

Problem 9) we have


substitute in the formula


------> the scale factor
To find the value of x, multiply the length of the unshaded figure by the scale factor

Problem 10) we have


substitute in the formula


------> the scale factor
To find the value of x, multiply the length of the unshaded figure by the scale factor

Problem 11) we have


substitute in the formula


------> the scale factor
To find the value of x, multiply the length of the unshaded figure by the scale factor

Problem 12) we have


substitute in the formula


------> the scale factor
To find the value of x, divide the length of the shaded figure by the scale factor

7^2 x cube root 7
= 7^2 x 7^1/3
= 7^2+1/3
= 7^7/3
Answer:
200π
Step-by-step explanation:
Surface area is abbreviated to SA
TOTAL SA of cone = Base area + πrl
Base area = πr² = π x 8² = 64π
Curved SA = πrl = π x 8 x l
to work out l, use pythagoras theorem: √(15)² + (8)² = 17
so, curved SA = π x 8 x 17 = 136π
Total SA of cone = 64π + 136π = 200π