Answer:
x=12 and the scale factor is 1.5
Step-by-step explanation:
From D' to F' is 7.5 and from D to F is 5cm the difference is 2.5. From F' to E' is x and from F to E is 8. This is just understanding what you can see. You find x by figuring out the ratio from 5 to 7.5 is and 8 to x or vise versa. It depends which way you are going. I think you are going from E,D,F to E',D',F'. So from 5cm to 7.5 cm. This is 1.5 because you are dividing 7.5/5. If you needed to find x, it would be 12.
Answer:
A. It has reflectional symmetry
B. It is symmetrical
D. It has five lines of symmetry
Step-by-step explanation:
we know that
A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides
Every regular polygon has reflectional symmetry
Regular polygons are symmetrical
therefore
A. It has reflectional symmetry ------> Is true
B. It is symmetrical -----> Is true
C. It has exactly one line of symmetry ----> Is false
D. It has five lines of symmetry -----> Is true
C multiply 1/2 by 10 and 1/5 by 2
Answer:
a. y^ -1 = e^x +2
Step-by-step explanation:
y = ln (x-2)
Exchange x and y
x = ln (y-2)
Solve for y
Raise each side with a base of e
e^ x = e^(ln(y-2)
e^x = y-2
Add 2 to each side
e^x +2 =y
Answer:
14.52 seconds.
Step-by-step explanation:
We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation 
. We are asked to find the time, when the rocket will hit the ground.
We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute 
in our given equation as:
Let us solve for x using quadratic formula.
Upon rounding to nearest 100th of second, we will get:
Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.
