Answer:
Step-by-step explanation:
Simplifying
4x + 11 = k
Reorder the terms:
11 + 4x = k
Solving
11 + 4x = k
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 4x = -11 + k
Combine like terms: 11 + -11 = 0
0 + 4x = -11 + k
4x = -11 + k
Divide each side by '4'.
x = -2.75 + 0.25k
Simplifying
x = -2.75 + 0.25k
Answer: -240 = -4π / 3, 60 = π / 3, 270 = 3π / 2, 945 = 21π / 4, -30 = -π / 60, 195 = 13π / 12
Step-by-step explanation:
The formula for converting <em>Degrees </em>into <em>Radians </em>is <em>Degrees </em>* (π / 180) = <em>Radians</em>.
For -240, we have -240 * (π / 180) = -240π / 180 and simplifying gives us -4π / 3
60: 60 * (π / 180) = 60π / 180 = π/3
270: 270 * (π / 180) = 270π / 180 = 3π / 2
945: 945 * (π / 180) = 945π / 180 = 21π / 4
-30: -30 * (π / 180) = -30π / 180 = π / 60
195: 195 * (π / 180) = 195π / 180 = 13π / 12
Answer:
−24
Step-by-step explanation:
Since there is only one negative, this means when all the values are multiplied together the product will be negative. Just multiply all three together to get −24.
(3)(−4)(2)
(−12)(2)
−24
It doesn't matter which order you multiply in in this case.
<span>For this IF function, look at cell A1. The logical test asks if the value in A1 is less than 100,000: in this case, the value of 90,000 would be less. If the value in A1 is under 100,000, the value is to be multiplied by 0.05 (5%), and multiplied by 0.075 if it is 100,000 or greater (7.5%). For a value of 90,000 * 0.05, the value that would be displayed in the cell with the IF function would be 4,500.</span>
Answer:
S'(5,-1), M'(1,-3)
Step-by-step explanation:
So, if the rotation is clockwise, the formula is (x,y)--->(-x,-y).
The original points are, (-1,3) and (-5,1).
Using the formula,
(-1,3) ----> (1,-3)
(-5,1) ----> (5,-1)
For the question in the image, the reflection over the x-axis is..
S'(-5,1) ---> (-5,-1)
M'(1,-3) ---> (-1,-3)
