Answer:
Rotation was used to transform the figure.
Step-by-step explanation:
Since only one transformation was used, rotating the pre-image ABC 180° counterclockwise around the origin formed the image DEF.
I hope this helped! :-)
PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
(4+5)÷3×4
9÷3•4
3•4
12
Answer: $4
Step-by-step explanation:
In this situation let's set up a proportional relationship .
Now solve by cross multiply
0.5x = 2 Divide both sides by 0.5
x = 4
This means that if Emily bikes 10 miles, her mother will donate $4.
Answer:
(0,0) is a solution.
Step-by-step explanation:
To see if this is true you can put (0,0) into the
and
variables like so:
. When you solve this you get
so this statement is true
Given an ODE

with initial condition

, the general process is to write the ODE as an integral equation,

By setting

for all

, we get the following recurrence for

.

From this we work towards finding a pattern for

so that we can find a solution of the form

.

Write this as the integral equation,

First step:



Second step:



Third step:



Fourth step:



You should already start seeing a pattern. Recall that

Multiplying this by 2 gives

which matches the solution we have for

except for that first term. So subtracting that, we find a solution of

with a domain of

.
Hopefully this gives some insight on how to approach the other two problems.