Answer:
x>8
Step-by-step explanation:
-6x+8<-40
-8. -8. (subtract f both sides)
-6x < -48
÷-6. ÷-6. (isolate variable)
x. > 8. ( when dividing and inequality by a neg number, flip the sign)
Answer:
|ST| = |FD|
Step-by-step explanation:
Two triangles are aid to be congruent if all their three sides are equal to each other and their three angles are equal to each other. The congruent sides must not be in the same position especially when one triangle is the reflection of the other triangle.
Given that ΔTRS is congruent to ΔDEF. Also they have the same congruent part, hence:
|TR| = |DE|, |TS| = |DF|, |ST| = |FD|
Step-by-step explanation:
56809.35946 must be paid back
Answer:
Third option: ![k=7](https://tex.z-dn.net/?f=k%3D7)
Step-by-step explanation:
Below are shown two transformations for a function f(x):
If
, the function is shifted up "k" units.
If
, the function is shifted down "k" units.
In this exercise you know that the function g(x) is obtained by shifting down the function f(x) 7 units.
Then, given the function f(x):
![f(x) = (0.5)^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%280.5%29%5Ex)
You can determine (based on the transformations explained before) that the function g(x) is:
![g(x) = (0.5)^x-7](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%280.5%29%5Ex-7)
Therefore, you can identify that the value of "k" is:
![k=7](https://tex.z-dn.net/?f=k%3D7)