Answer:
n=10
Step-by-step explanation:
-2=-n+8
-n=-10
n=10
Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
9514 1404 393
Answer:
Step-by-step explanation:
The acute angles in a right triangle are complementary:
2x° +(x -6)° = 90°
3x = 96 . . . . . . . . . divide by °, add 6
x = 32 . . . . . . . . . divide by 3
(x-6)° = (32 -6)° = 26°
2x° = 2(32)° = 64°
The acute angles have measures 26° and 64°.
Answer:
-6xy
Step-by-step explanation:
(2x-y)x(x-2y)-(x+2y)X(2x-y)
remove the parentheses
2x^2-4xy+xy-2y^2-(2x^2-xy+4xy-2y^2)
collect terms
2x^2-4xy+xy-2y^2-(2x^2+3xy-2y^2)
remove the parentheses
2x^2-4xy+xy-2y^2-2x^2-3xy+2y^2
remove the opposites, collect the terms to get -6xy
Answer:
How to write out number 0.875: eight hundred seventy-five thousandths
Step-by-step explanation:
