Answer:

Step-by-step explanation:
we know that
The equation of the line into point slope-form is equal to

in this problem we have


substitute the values in the formula

Answer:
The arc measure of ∠ADE is equal to 333 degrees.
Step-by-step explanation:
Please refer to the attached diagram,
Let the unknown angle ∠APE = x
Since BD is the diameter of the circle then
∠APE + ∠DPE + ∠APB = 180°
∠APE + 63° + 90° = 180°
x + 63° + 90° = 180°
Solving for x
x = 180° - 90° - 63°
x = 90° - 63°
x = 27°
Since a circle has 360° then
∠ADE + ∠APE = 360°
∠ADE + x = 360°
∠ADE + 27° = 360°
∠ADE = 360° - 27°
∠ADE = 333°
Therefore, the arc measure of ∠ADE is equal to 333 degrees.
Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
Answer:
35%%%%%%%%%%%%%%%%%%%%
Step-by-step explanation:
84% -Justin
90% -Stephanie
Stephanie scored 6 points higher.