Answer:
-2
Step-by-step explanation:
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Given
Slope = -3
Get the intercept c;
Substitute m = -3 and (1, -9) into y = mx+c
-9 = -3(1) + c
-9 = -3 + c
c = -9 + 3
c = -6
The equation becomes
y = -3x + (-6)
y = -3x-6
f(x) = -3x-6
The zero of f occurs at f(x) = 0
0 = -3x-6
3x = -6
x = -6/3
x = -2
Hence the zero of the function is -2
Given:
The diameter of cloud-water droplet is

The diameter of pinhead is 0.001.
Explanation:
Divide the dimater of cloud-water droplet by dimater of pinhead to determine the times as great is the diameter of a pinhead as the diameter of a cloud-water droplet .

So diameter of a pin-head is 100 times the diameter of water-droplet.
Answer:
C
Step-by-step explanation:
The sum to n terms of a geometric sequence is
= 
Here a₁ = 4 and r = - 3, thus
= 
=
= - (729 - 1) = - 728 → C
Equation 1) x + 6y = 2
Equation 2) 5x + 4y = 36
Multiply all of equation 1 by 5.
1) 5(x + 6y = 2)
Simplify.
1) 5x + 30y = 10
2) 5x + 4y = 36
Subtract equations from one another.
26y = -26
Divide both sides by 26.
y = -1
Plug in -1 for y in the first equation.
x + 6y = 2
x + 6(-1) = 2
Simplify.
x - 6 = 2
Add 6 to both sides.
x = 8
D : (8, -1)
~Hope I helped!~
Answer:it’s going to be b
Step-by-step explanation: