<span>Tan(x) = sin(x) / cos(x). Therefore, tan(x) pi/2 = 1/0, which doesn't exist. Imagine that, instead of 0, it's a number incredibly close to 0. The smaller the number in the denominator, the bigger the outcome. Therefore, we can think of 1/0 as infinity, or approaching infinity as one gets closer to 1/0. This is the same result approaching from the negative side, only it's negative infinity. If x=0, it's 0/1 instead (sin 0=0, cos 0=1). Anything divided by 1 is itself, so as x approaches 0, so does f(x).</span>
Answer:
y = 2x² + 18x + 36
Step-by-step explanation:
Given
y = 2(x + 6)(x + 3) ← expand the factors using FOIL
y = 2(x² + 9x + 18) ← distribute parenthesis by 2
= 2x² + 18x + 36 ← in standard form
Dependent variable would be the test scores, because they DEPEND on the amount of TV you watched
This question is incomplete because it lacks the diagram of the right angles shaped charging stand.
Find attached to this answer, the appropriate diagram.
Answer:
3(tan 50°)
Step-by-step explanation:
To solve this question, we would be using the Trigonometric function called Tangent.
tan θ = opposite side/ adjacent side
θ = 50°
Opposite side (Height)= Side AC = Unknown
Adjacent side = Side BC = 3 inches
Hence,
tan 50° = Side AC/ Side BC
tan 50° = Side AC / 3
Cross multiply
tan 50° × 3 = Side AC
3(tan 50°) = Side AC
Therefore, the expression shows the height, AC, of the charging stand is
3(tan 50°).