Answer:
Step-by-step explanation:
Mathematically, we can calculate the slope
using the formula below;
m = (y2-y1)/(x2-x1)
Where (x1.y1) = (6,-8)
(x2, y2) = (3,-4)
So inputing these values into the formula, we have
m = (-4-(-8))/(3-6)
m = (-4+8)/-3 = 4/-3 = -4/3
Now, we want to write the equation of the line;
y= -4/3x + c
to get the value of c, we simply need to use any of the points. We use any of the two points by substituting the values of x and y at that point.
Let’s use (3,-4)
That would give ;
-4 = -4/3(3) + c
-4 = -4 + c
This means c = 0
Thus the equation of the line is y = -4/3x
Now to find out if the point (-3,4) is on the line
We only need to substitute the values of x and y here and see ;
Thus;
4 = -4/3(-3)
Sine 4 = 4
We can conclude that the point is on the line in question
The answer is c) 45 times PI cubed.
Answer:
c (0,-4)
Step-by-step explanation:
-5x+y = -4
4x - 4y =16
Solve the first equation for y since we are using substitution.
-5x+y = -4
Add 5x to each side
-5x+5x+y = -4+5x
y = 5x-4
Substitute this equation y = 5x-4 into the second equation.
4x -4(5x-4) = 16
Distribute the -4
4x - 4(5x) -4(-4) = 16
4x-20x +16 = 16
Combine like terms
-16x +16 =16
Subtract 16 from each side
-16x+16-16 = 16-16
-16x =0
Divide by -16
x=0
But we still need to find y
y = 5x-4
y = 5(0) -4
y = -4
Answer:
Step-by-step explanation:
A. 4.2E6 because when putting a number into scientific notation, you would want one number in front of the decimal place and then the trailing numbers would follow. The exponent or E stand for how many numbers are after the decimal, which in this case would be 6.
4,200,000 → 4.2 x 10^6 which is equal to saying 4.2E6
Tip: If the exponent is negative than the decimal would go in the opposite direction. For example:
4,200,000 → 4.2 x 10^-6 would not equal each other because 4.2 x 10^-6 means 0.000004, six numbers would be behind the decimal.
