An "obtuse" angle is an angle that's bigger than 90 degrees.
So two obtuse angles would add up to more than 180 degrees.
But the three angles inside a triangle always add up to exactly 180 degrees.
So two of them can't be obtuse.
So with these equations we need to find the y-intercept and the slope because:
y = mx+b
y = f(×)
b = y-intercept
m = slope (slope = rise/run, rise over run)
rise is y-axis
run is x-axis
The y-intercept is (0,-2)
So now we know that one of the answers must have -2 in it
b = -2
m= rise/run = -2/3
The answer is:
The function f(x) - g(x) is an illustration of a composite function
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
<h3>How to estimate the student's answer?</h3>
The functions are given as:
f(x) = 1/2x + 6
g(x) = x - 3
The function f(x) - g(x) is calculated using:
f(x) - g(x) = 1/2x + 6 - x + 3
Collect like terms
f(x) - g(x) = 1/2x - x + 6 + 3
Evaluate the like terms
f(x) - g(x) = -1/2x + 9
By comparing the above solution to the students' response, we can see that:
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
Read more about composite functions at:
brainly.com/question/13502804
Answer:
The value of a = 14
Step-by-step explanation:
Given
(x₁, y₁) = (2, 4)
(x₂, y₂) = (6, a)
(x₃, y₃) = (-1, 1)
A = 9 sq.units
Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:

substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula


Multiply both sides by 2

simplify

As the area is always positive.
so


Add 18 to both sides

simplify



Divide both sides by 3


Thus, the value of a = 14
Answer:
18x
Step-by-step explanation:
j=18
k=x
18xor18
I do not understand this question