Answer:
dependent
Step-by-step explanation:
The given system is :
15x-18=3y
5x=y+6
Rewrite the equations in standard form to get:
15x-3y=18
5x-y=6
Multiply the bottom equation by 3.
15x-3y=18
15x-3y=18
Sub both equations:
0-0=0
0=0
We got an identity
The system is dependent because there are infinitely many solutions
To solve this problem, we have to find the perimeter of the shape.
we already know that two of the sides are 82m, all we need to do is find the circumference of the semicircles.
to find circumference, you multiply the diameter of a circle by pi. since we have two identical semicircles, we have one full circle. 66•3.14=207.24
207.24+82+82=371.24
the answer is 371.24m
Answer:
M(t) = 64 Kgs
Step-by-step explanation:
To find the total mass of the rod, we have to integrate the expression
M(x) = ∫₀⁴ rho(x)*dx
Where rho (x) = 6 + 5*x in Kgs /m
M(x) = ∫₀⁴ ( 6 + 5*x ) dx ⇒ M(x) = ∫₀⁴ 6 dx + ∫₀⁴ 5*x dx
M(x) = 6x |₀⁴ + 5* x²/2 |₀⁴
M(x) = 6( 4 - 0 ) + 5/2 ( 16 - 0 )
M(x) = 24 + 40 Kgs
M(t) = 64 Kgs
Answer:
0.1 atmospheres per meter
Step-by-step explanation:
Depth (meters) = x
Pressure (atmospheres) = y
Using two pairs of values from the table, (13, 2.3) and (17, 2.7),
Rate of change of the water pressure = 
Rate of change of the water pressure = 0.1 atmospheres per meter
Answer:triangles 20 12 28 and15 9 21
Step-by-step explanation: