<span>First we have to find the sum and the difference of those polynomials- The sum is: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) + ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5 - 2 x^3y^4 - 7xy^3 - 8 x^5y + 2 x^3y^4 + xy^3 = - 5 x^5y - 6 xy^3. And the difference: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) - ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5y - 2 x^3y^4 - 7 xy^3 + 8 xy^5 - 2 x^3y^4 - xy^3 = 11 xy^5 - 4 x^3y^4 - 8xy^3. The highest exponent in both polynomials is 5. Answer: The degree of the polynomials is 5.</span>
Answer:
15/2r - 40; Distributive Property
Step-by-step explanation:
You can use the Distributive Property to multiply the 5 across the expression in the parentheses.
5(3/2r - 8)
5 × 3/2r = 15/2r
5 × -8 = -40
Combine.
15/2r - 40
Hope this helps!
Answer:
SAS theorem
Step-by-step explanation:
If 
and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.
So, and m∠ECD = m∠BCA because vertical angles are congruent
Therefore ΔECD is similar to ΔBCA by SAS theorem
This is a question of proportions:
First we can work out how many feet it goes up for each feet he steps back:
5.5/6 ft per each feet he steps back.
Now we can multiply this by the amount of ft back the cliff is:
(5.5/6)*30 = 27.5 ft
Thus the cliff is 27.5 ft tall,
Hope this helps :)
Answer:
3x+7
Step-by-step explanation:
Simply changing the y intercept will make both lines parallel without changing its slope
