Answer:
2 over 10 and 4 over 20
Step-by-step explanation:
Answer:
The answer is (3x^2-2x+5)
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)
Answer:
2. RS = ST, Reason: Midpoint of a line (definition)
4. RS = XY, Reason: Transitive Property of congruence (if a=b, and b=c, a=c)
Step-by-step explanation:
A Midpoint divides a line exactly in half, due to the definition of a Midpoint. So, RS = ST, since they measure the same distance from the Midpoint. RS=XY because of the Transitive Property of Congruence. If ST = XY, and RS = ST, then RS = XY.
