Answer:
Step-by-step explanation:
(1)

(2)
The initial condition is 
(3)
Infinitely many.
Answer:
can u retake the photo i cant see whole shapes ill answer the question when u post the new one
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
By inspection we can see that the slope of the line is m = 2/5; as x increases by 5, y increases by 2. Next, also by inspection, we see that the y-intercept is (0, 3/2). Using the slope-intercept formula y = mx + b, we get y = (2/5)x - 3/2.
Let's take a look at Answer B: If we divide all three terms by 2, we get:
(2/5)x - y > 3/2. This matches the equation found earlier, y = (2/5)x - 3/2 if we rewrite (2/5)x - y > 3/2 as (2/5)x - 3/2 > y.
Thus, all points that satisfy this inequality are BELOW the y = (2/5)x - 3/2,
Answer B is the correct one.
Answer:
Move all terms to the left side of the equation and simplify.
3x²−12x−21=0
Use the quadratic formula to find the solutions.
(−b±√b²−4(ac))/2a
Substitute the values a=3, b=−12, and c=−21 into the quadratic formula and solve for x.
(12±√(−12)²−4⋅(3⋅−21)0/2⋅3 Simplify => x=2±√11
The result can be shown in multiple forms.
Exact Form: x=2±√11
Decimal Form: x=5.31662479…,−1.31662479…
Step-by-step explanation:
3. adjacent, x=49
4. vertical, x=171
5. vertical, x= 41
6. adjacent, x=14