Answer:
k = -2/5
Step-by-step explanation:
2k+9=7-3k
2k+3k=7-9
5k=-3
k=-2/5
Answer:
-17/10 is 1.7 is a rational number
Step-by-step explanation:
In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. ... Moreover, any repeating or terminating decimal represents a rational number.
Answer:
The hypotenuse of a right triangle is 4m longer than the shorter leg and 2m longer than the longer leg. What are the lengths of the sides?
Just for variety, consider the hypotenuse = h, the short leg h-4 and the long leg h-2.
c^2 = a^2 + b^2; so h^2 = (h-4)^2 + (h-2)^2; h^2 = h^2 - 8h + 16 +h^2 -4h +4;
h^2 -12h +20 = 0 factors to (h - 10)(h - 2) = 0 so h = 2 or h = 10
Since (h - 2) = (2 - 2) = 0 and a triangle cannot have a side of zero length, 10 is the length of the hypotenuse.
h^2 = (h-4)^2 + (h-2); 10^2 = (10-4)^2 + (10-2); (10)^2 = (6)^2 + (8)
The hypotenuse is 10 cm, short leg 6 cm and long leg 8 cm.
Answer:
16y-4x
Step-by-step explanation:
first distribute the negative to the numbers in parentheses
13y-5x+3y+x
then combine like terms
13y+3y=16y
-5x+x=-4x
16y-4x
3x^2 + 2x - 6 if x = -2
=3(-2)^2 + 2(-2) - 6
=12 - 4 - 6
= 2
5x^2 + 6x - 2 if x = -2
=5(-2)^2 + 6(-2) - 2
=20 - 12 - 2
= 6
-2x^3 + 2x^2 if x = 2
= -2(2)^3 + 2(2)^2
= -16 + 8
= -8
