Answer:
Non-linear equations:
Step-by-step explanation:
Linear equation: y = mx + b
Therefore, a linear equation has 2 variables that have no exponents.
So the non-linear equations are:
(this is a quadratic equation - polynomial with degree 2)
(this is an exponential equation)
Equation for this line is y = -2x + (-4)
<u>Step-by-step explanation:</u>
Step 1:
Slope intercept equation for a line is of the form y= mx + b, where m is the slope and b is the y-intercept.
Step 2:
Calculate slope of the given line.
⇒ m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(-3 - (-1)
⇒ m = 4/-2 = -2
Step 3:
Find y-intercept
⇒ b = - 4
Step 4:
Substitute values to get equation
⇒ y = -x -4 or y = - (x + 4)
19. The formula for finding the volume of a sphere is 4/3πr^3
The problem says the radius is 9.25 cm.
Just plug in the numbers and solve:
4/3(3.14)(9.25^3)
9.25^3 = ~791.45
4/3(3.14)(791.45)
4/3 • 3.14 = ~4.19
4.19 • 791.45 = 3316.1755
It says to round to 2 decimal places so the answer to this question would be 3316.18.
That means 3316.18 is the volume of the sphere.
20. It's always best to change words into an equation.
-16 - w
w = -23
Plug in the number to the variable:
-16 - (-23)
Double negatives (a negative being subtracted) turn into a plus (positive being added).
-16 + 23 = 7
So the answer is 7.
25. Complementary angles are angles with a sum of 90º.
If angle A is 27º, just subtract that from 90º to get the measure of angle B.
90 - 27 = 63
So angle B is 63º, and the answer is A.
Homeroom 6a is part to part
