Answer:
C, HL
Step-by-step explanation:
Since the triangles share a side, they have a congruent leg. Looking at the tick marks, the triangles also have congruent hypotenuses. So, they are congruent by the Hypotenuse Leg theorem.
Answer: Since FK is half the line, and FH is the whole line 6*2= 12
so FH=12
A. yes...it is a function because there is no repeating x values.
B. (5,2)(6,5)...slope = (5 - 2) / (6 - 5) = 3
y = mx + b
slope(m) = 3
(5,2)...x = 5 and y = 2
now we sub
2 = 3(5) + b
2 = 15 + b
2 - 15 = b
-13 = b
so the equation is : y = 3x - 13
when x = 7
y = 3(7) - 13....y = 21 - 13....y = 8
f(x) = 2x + 13...when x = 7
f(7) = 2(7) + 13...f(7) = 14 + 13.....f(7) = 27
the function has a greater value
C. f(x) = 2x + 13....when f(x) = 75
75 = 2x + 13
75 - 13 = 2x
62 = 2x
62/2 = x
31 = x
Answer:
No solution
Step-by-step explanation:
12×+1=3(4×+1)-2
Opening brackets
12x + 1 = 12x + 3 - 2
Collecting like terms
12x - 12x = 3 - 2 - 1
Since x is cancelled out. No solution
Answer:
Step-by-step explanation:
The average rate of change between two points on a graph is ...
average rate of change = slope = rise/run
The rise over the given interval is the function value at x=8 less the function value at x=5. That is, ...
rise = 1 - 10
The run is the difference in the x-values:
run = 8 - 5
Then the average rate of change is ...
average rate of change = rise/run = (1 -10)/(8 -5)
_____
Here, the points are written as (x, y), so the only pair we're interested in is ...
(5, 10) and (8, 1)
