Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We can find "b" substituting the slope and coordinates of the (4,3) into thte equation , and then solving for "b":
By definition, the line intersects the x-axis when "y" is zero.
Then, we need to substitute the y-intercept and 
into and then solve for "x" in order to find the x-intercept:
Knowing the x-intercept and the y-intercept, we can graph the line (The graph is attached)
Answer:
Top right option: g(x) = (x+1)(x-3)
Step-by-step explanation:
x=-1 is the solution to x+1=0
x=3 is the solution to x-3=0
Therefore, your expression so far is (x+1)(x-3) or x²-2x-3.
Since the vertex must be (1,-4) we must check if x=1 satisfies the equation x=-b/2a:
x=-b/2a
1=-(-2)/2(1)
1=2/2
1=1
Both sides are equal to each other, so the final function is g(x) = (x+1)(x-3)
Answer:
The variable, y is 11°
Step-by-step explanation:
The given parameters are;
in triangle ΔABC; 
in triangle ΔFGH;
Segment 
= 14 Segment 
= 14
Segment 
= 27 Segment 
= 19
Segment 
= 19 Segment 
= 2·y + 5
∡A = 32° ∡G = 32°
∡A = ∠BAC which is the angle formed by segments = 14 and = 19
Therefore, segment = 27, is the segment opposite to ∡A = 32°
Similarly, ∡G = ∠FGH which is the angle formed by segments = 14 and = 19
Therefore, segment = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;
≅ by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∴ = = 27° y definition of congruency
= 2·y + 5 = 27° by transitive property
∴ 2·y + 5 = 27°
2·y = 27° - 5° = 22°
y = 22°/2 = 11°
The variable, y = 11°
Okay what problem is it that you need help with??
Answer:
Looks good to me!
Step-by-step explanation:
