Answer:
Ok, we know that we can write a horizontal translation as:
y' = f(x - A)
where if A is positive, this moves the graph of f(x) A units to the right.
Why is this?
Ok, let's compare:
y = f(x)
and
y' = f(x - A)
in y, when x = 0 we have f(0).
While to have this same point in y', we need to evaluate in x = A.
f(A - A) = f(0).
Then the value f(0) is now at x = A, this means that the point moved A units to the right.
And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.
Ans
Step-by-step explanation:
Answer:
Option 3) y = 3x+1
Step-by-step explanation:
<u><em>Given equation is:</em></u>
y = 
Perpendicular => <u><em>It will have a slope of negative reciprocal to this slope</em></u>
So the ⊥ line has a slope = m = 3
Now,
Point = (x,y) = (1,4)
So, x = 1, y = 4
<u><em>Putting this in slope intercept form to get b</em></u>
=> 
=> 4 = (3)(1) + b
=> b = 4-3
=> b = 1
<u><em>Now, Putting m and b in the slope intercept form to get the required equation:</em></u>
=> y = 3x+1
Answer:
hypotenuse = aprox 18.6
Step-by-step explanation:
a^2 + b^2 = c^2
11^2 + 15^2 = c^2
346 = c^2
square root both sides
c = aprox 18.6
hope that helped!
Answer:
Step-by-step explanation:
<u>Question 7</u>
Angle formed by 2 chords is half of the sum of the intercepted arcs
- x = 1/2(72° + 58°) = 1/2(130°) = 65°
<u>Question 8</u>
Angle formed by 2 secants is half of the difference of the intercepted arcs
- x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°