Identify the variation as direct, inverse, joint or combined. y = 7x
2 answers:
Answer:
y =7x , follows the direct variation.
Step-by-step explanation:
Direct variation states that a relationship between two variables in which one is a constant multiple of the other. In other words, when one variable changes the other changes in proportion to the first.
If y is directly proportional to x i.e, or
y = kx .....[1] where k is the constant variation
Given : y = 7x
On comparing this with equation [1] we get;
k(constant of variation) = 7
therefore,
it follows the direct variation as or
y = 7x where k =7 is the constant of variation.
Therefore, y =7x follows the direct variation.
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Option C:
The measure of arc CD is 40°.
Solution:
Given data:
m∠X = 11° and m(arc AB) = 18°
To find the measure of arc CD:
We know that,
<em>Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.</em>
Multiply by 2 on both sides.
22° = arc CD - 18°
Add 18° from both sides.
40° = arc CD
Switch the sides.
arc CD = 40°
Hence the measure of arc CD is 40°.
Option B is the correct answer.
Answer:
Sin(t) = and
Step-by-step explanation:
The secant function is the reciprocal function of the cosine function. Therefore, given that then, if
then
.
On the other hand, if cos (t) = 1/2 ⇒ t = ±
Then, the sin() =