The equation is true because both sides are identical.
Answer:

Step-by-step explanation:
To write the equation of a line we need 2 points. We know:
- If the y-intercept of the line is -3 then the point is (0,-3).
- If the x-intercept of the line is -4.5 then the point is (-4.5,0).
Using these two point, we will find the slope and then substitute it into the point slope form
with a point.
Slope: 
This decimal is -2/3. We will now substitute -2/3 and (0,-3) into the point slope form.

Answer:
0.25
Step-by-step explanation:
outcomes painted in blue: {3, 4, 5, 6}
number of even outcomes painted in blue: 2
number of total outcomes: 8
Therefore, the probability that the roll will show an even number and a face that is painted blue is: 2/8 = 0.25
Answer:
32°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the trig function relating angles to the opposite and adjacent sides of the triangle is ...
Tan = Opposite/Adjacent
The side opposite the angle x is shown as having measure 5; the side adjacent has measure 8. Putting all this in the above equation gives ...
tan(x) = 5/8
To find the angle from the value of the tangent, you use the inverse of the tangent function. The name of that is the <em>arctangent</em> function. It is often written as tan⁻¹(x) and often accessible on your calculator using a "second function" key. Some calculators, like the one shown in the attachment, recognize the arctan function name.
x = arctan(5/8) ≈ 32°
The value of x rounded to the nearest whole degree is 32°.