Answer:
6 kg/m
Step-by-step explanation:
mass m = 3x^2.
rho ρ= dm/dx =6x
ρ(1) =6 Kg/m
linear density is the derivative of mass (m) with respect to position(x)
that is how fast is the mass changing at that position.
Substitute this into the parabolic equation,
We're told the line 
intersects 
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line passes through this point for 
. For any value of 
, the line passes through either only once, or not at all.
So 
; in set notation,
Answer:
600
Step-by-step explanation:
anything times 1 is itself
Answer:
Angles supplementary to angle 9 = Angle <u>10</u>, <u>7</u>, <u>5</u>, <u>1</u>, <u>4</u>, <u>3</u>, <u>15</u>, <u>12</u>, <u>24</u>, <u>22</u>, <u>20</u>, <u>19</u>, and angle <u>16</u>.
Step-by-step explanation:
Use the vertical, and corresponding angles theorem to find congruent angles.
Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.
Something is supplementary if it adds to 180 degrees.
The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.
The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.
Answer:
X<-4
Step-by-step explanation:
-3x+10>22
subtract 10 to both sides
-3x>12
divide by -3 on both sides
when you divide by a negative number you flip the sign so the answer will be x<-4
