Answer:
The distance is 8 miles.
Step-by-step explanation:
Manuel's house, his parents house, and grandparents house can be expressed as the three vertices of a right angled triangle. Thus, Pythagoras theorem can be applied to determine the distance from Manual's house to that of his grandparents.
Let the distance from Manuel's house to that of his grandparents be represented by x, so that;
= 
+ 
= 
+ 
100 = 
+ 36
= 100 - 36
= 64
⇒ x = 
= 8
x = 8 miles
Thus, Manuel's house is 8 miles from his grandparents house.
Discriminant =
b² - 4ac
3² - 4(2)(- 9)
9 + 72
81
Your equation has two real solutions.
2x² + 3x - 9 = 0
2x² + 6x - 3x - 9 = 0
2x(x + 3) - 3(x + 3) = 0
(2x - 3)(x + 3) = 0
Set each equal to zero:
2x - 3 = 0
2x = 3
x = 3/2
x + 3 = 0
x = - 3
Your two solutions are x = - 3, 3/2
you use cubic measurements
hopes this helps
Answer:
-x^8y^2 -2y^7 -2xy^4 -6xy
Step-by-step explanation:
Eliminate parentheses.
xy^4 + 5y^7 - 6xy - 7y^7 - x^8y^2 -3xy^4
Arrange in descending degree order, group like terms.
-x^8y^2 +(5y^7 -7y^7) +(xy^4 -3xy^4) -6xy
Combine like terms.
-x^8y^2 -2y^7 -2xy^4 -6xy
