Answer:
x < −6
Step-by-step explanation:
In inequalities, the division by a negative number results in change of the sign. That is from less than to greater than and vice versa.
Therefore,
3x − 2 > 5x + 10.
= 3x - 5x > 2 +10
= -2x > 12
= x < -6
The sign changes as defined above.
Answer:
7/20
Step-by-step explanation:
10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles = 25 marbles
25-10 = 15
There are 15 not blue marbles
P( not blue ) = not blue marbles / total = 15/25 = 3/5
keep the not blue marble
25-1 = 24 marbles left
15-1 = 14 not blue marbles
P( not blue ) = not blue marbles / total = 14/24 = 7/12
P( not blue, keep, not blue) = 3/5 * 7/12 = 21/60 = 7/20
ANSWER: x > -6
1. subtract 12 from each side
2. divide by -3 which will make the sign flip
Alright!
The formula of area of a triangle is base x height /2
so you're given the height and hypotenuse.
Do the reverse of the pythagorean theorem to find the base
a^2= c^2 -b^2
c^2 is the hypotenuse and b^2 is the height
a^2= 10^2 - 8^2
a^2 = 100 - 84
a^2 = 16
a= (square root the 16)
a= 4 cm
now put these numbers into the formula for area of a triangle
bxh / 2
(4x8)/ 2
= 16 cm squared !!
hope that makes sense :)
