Answer:
1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)
4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)
Step-by-step explanation:
To obtain the answer to the question, first let us factorise each expression. This is illustrated below:
1. 15x^7y^2 + 4x^3
Common factor is x^3, therefore the expression is written as:
x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x
Common factor is 3x, therefore the expression is written as:
3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy
Common factor is 3xy, therefore the expression is written as:
3xy(5x^6y + 2)
4. 15x^7 + 10y^2
Common factor is 5, therefore the expression can be written as:
5(3x^7 + 2y^2)
I don't know the answer but try using PEMDAS. (Parentheses, Exponents, Multiplication, Division, Addition, and then Subtraction)
Answer:
( 8 , 6 )
Step-by-step explanation:
A = ( 2 , 2 ) and C = ( 5 , 4 )
→ Form an equation
and 
→ Now solve them
2 + x = 10 and 2 + y = 6
→ Simply find the values
x = 8 and y = 6
<h3>
Answer: 41.19 degrees</h3>
==========================================
Work Shown:
See the diagram below.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 7/8
A = arctan(7/8)
A = 41.1859252
A = 41.19 degrees
Writing this problem in symbols instead of in words greatly simplifies it:
(2 2/3) * (1 1/5) * (1 1/2)
Write each quantity (inside each set of parentheses) as an improper fraction:
(8/3) * (6/5) * (3/2)
Now multiply the numerators thru: 8*6*3 / 3*5*2
Notice that we can reduce this by dividing the 8 by the 2 and dividing the 6 by the 3: 4*3*3 36
---------- = -----------
5 5
