Answer:
54
Step-by-step explanation:
<h2>√</h2>
Answer: 
<u>Step-by-step explanation:</u>
(7, 6)
Use Pythagorean Theorem to find the hypotenuse:
7² + 6² = c²
49 + 36 = c²
85 = c²
√85 = c
adjacent = 7, opposite = 6, hypotenuse = √85
sec θ =
= 
Answer:
y = 5x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)
m =
= 5
Note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 5x + 3 ← equation in slope- intercept form
f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
, written in vertex form is
, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}