Answer:
C) Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Step-by-step explanation:
When naming congruent shapes, the <u>orders of the congruent vertex letters need to be the same</u>.
Since these are isosceles triangles, the base angles are the same:
m∠R = m∠T = m∠A = m∠C
Therefore the congruency statement can be written two different ways.
ΔABC ≅ ΔRST
ΔABC ≅ ΔTSR
Both statements could be correct.
Choosing between B) and C):
To move ΔABC to where ΔRST or ΔTSR is, you could either:
i) Translate 6 units to the left, and translate 3 units down
ii) Reflect across the y-axis, and translate 3 units down
It can be the result of two translations or a reflection and a translation.
In the result, the base side RT is on the bottom of the shape, like side AC. If you rotated the shape, the base side would not be on the bottom. Therefore B) is incorrect.
Answer:
He runs 2/3 mile in 8 mins, he runs one mile in 12 mins
The inverse of the function is 
Explanation:
To find the inverse of the equation
, we need to interchange the variables x and y for the variables y and x.
Thus, the equation becomes

Now, we shall find the value of y.
Now, adding 8 to both sides of the equation, we have,

Interchanging the sides,

Dividing by 2 on both sides,

Taking square root on both sides,

Thus, the inverse of the function is 
Answer:

And we want to know what repreent the value 500 for this equation. If we see the general expression for an exponential function we have:

Where a is the constant or the initial amount, b te base and x the independnet variable (time)
For this special case we know that:

And 500 represent the constant or initial value for the function
Step-by-step explanation:
We have the following function given:

And we want to know what repreent the value 500 for this equation. If we see the general expression for an exponential function we have:

Where a is the constant or the initial amount, b te base and x the independnet variable (time)
For this special case we know that:

And 500 represent the constant or initial value for the function