Answer:
x ≈ 4.2 (nearest tenth)
Step-by-step explanation:
The chord of length 4 is the base of an isosceles triangle with height of 3.7 and sides equal to the radius (x).
An isosceles triangle comprises two right triangles, each with:
Therefore, to find x use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ a² + b² = c²
⇒ 2² + 3.7² = x²
⇒ x² = 17.69
⇒ x = √(17.69)
⇒ x = 4.2 (nearest tenth)
Answer:
y = 3x + 5
Step-by-step explanation:
The equation in slope- intercept form is
y = mx + c
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (2, 11) ← 2 ordered pairs from the table
m = =
= 3, thus
y = 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, 11 ), then
11 = 6 + c ⇒ c = 11 - 6 = 5
y = 3x + 5 ← equation of linear function