Answer:

Step-by-step explanation:
The given function is f(x)=x.
If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes

But f(x)=x
We substitute to obtain the equation of g(x) as

The greatest factor is 52 that is a prime number is 13.
Answer:
4
Step-by-step explanation:
Ok.....Since I can't graph it, we can make a table
x y
3 9
1 1
From 9 to 1, you subtract 8 (this is for the y section)
From 3 to 1, you subtract 2 (this is for the x section)
Now all you have to do is divide the y with the x
y/x = 8/2 = 4
And 4 will be your slope for these two points.
Hope this helped!
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b)
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines: