Given:
The inequality is
To find:
The value of x and then graph on the number line.
Solution:
We have,
Subtracting 19 from both sides, we get
It means all the real values of x which are less than or equal to 4 are in the solution set. So, an arrow approaches towards left from x=4 as shown in the below figure.
8/12 in simplest form is 2/3.
<h2>Hello!</h2>
The answer is:
C. Cosine is negative in Quadrant III
<h2>
Why?</h2>
Let's discard each given option in order to find the correct:
A. Tangent is negative in Quadrant I: It's false, all functions are positive in Quadrant I (0° to 90°).
B. Sine is negative in Quadrant II: It's false, sine is negative in positive in Quadrant II. Sine function is always positive coming from 90° to 180°.
C. Cosine is negative in Quadrant III. It's true, cosine and sine functions are negative in Quadrant III (180° to 270°), meaning that only tangent and cotangent functions will be positive in Quadrant III.
D. Sine is positive in Quadrant IV: It's false, sine is negative in Quadrant IV. Only cosine and secant functions are positive in Quadrant IV (270° to 360°)
Have a nice day!
Answer:
The equation of this line would be 4x + y = 13
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.
4x + y - 2 = 0
4x + y = 2
y = -4x + 2
The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.
y - y1 = m(x - x1)
y + 3 = -4(x - 4)
y + 3 = -4x + 16
4x + y + 3 = 16
4x + y = 13
