Answer:
When we add 9 to the function we are shifting the function up 9 units.
Step-by-step explanation:
If it were added inside the function, it woulds shift it left or right.
But since it is outside the function, we will shift it up or down
When we add 9 to the function we are shifting the function up 9 units.
The final solution is y=-5/3x-10
Answer:
6.298 meters
Step-by-step explanation:
Here, we are told that x is the time of the dive in minutes.
We simply first need to convert 150 seconds to minutes before substitution into the regression formula;
Kindly recall that 60 seconds = 1 minute
So 150 seconds will be 150/60 = 2.5 minutes
We now proceed to substitute into;
j = 0.010 + 2.515(x)
i = 0.010 + 2.515(2.5)
j = 0.010 + 6.2875
j = 6.2975 which go 3 decimal places is 6.298 meters
When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3. So in general:
a/c-b/c=(a-b)/c so you just have:
(2x-6)/(x-3) now if you factor 2 from the numerator
2(x-3)/(x-3) the (x-3)s cancel out leaving
2
However! Note that division by zero is undefined, so x cannot equal 3. (because both original fractions had denominators of x-3)
What this all means is that that expression will equal 2 for all real values of x other than 3.
Consider right triangles BTZ and BUZ.
ZB = ZB (Common)
ZT = ZU (Given)
Therefore, ΔBTZ ≅ ΔBUZ (By RHS theorem)
Hence, by CPCTC,
∠BTZ = ∠BUZ
