Answer:
A. Rotation 90º clockwise about the origin B. Rotation 180º about the origin C. Rotation 90º counterclockwise about the origin D. Reflection across y=x
Step-by-step explanation:
because
The distance between the school and the library is less. Then the library is closer to school.
<h3>What is dilation?</h3>
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
On one map of a town, the scale from the town to the map is 12mi:3cm.
The school is 2.5cm from the grocery store on this map.
Then the distance between the school and the grocery store will be
⇒ (12 / 3) x 2.5
⇒ 10 miles
On a different map of the same town, the scale from the town to the make is 12mi: 2cm.
The school is 1.5cm from the library on that map.
Then the distance between the school and the library will be
⇒ (12 / 2) x 1.5
⇒ 9 miles
Thus, the distance between the school and the library is less.
Then the library is closer to school.
More about the dilation link is given below.
brainly.com/question/2856466
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ANSWER
EXPLANATION
The problem represents a geometric progression.
The general form of a geometric sequence is:
where a = first term
r = common ratio
The first term from the table is the first price (for the first month). That is $80.00
To find the common ratio, we divide a term by its preceeding term.
Let us divide the price of the second month from the first.
We have:
The price after the 8th month is the value of a(n) when n = 8
So, we have that:
Answer:
B. Infinitely Many
Step-by-step explanation:
Step 1: Distribute
5x + 48 + 7x = 12x + 48
Step 2: Combine like terms
12x + 148 = 12x + 48
If the 2 lines are the same, which they are, they are the same lines. That means there are an infinite amount of solutions. If they had the same slope but different y-intercepts, there would be no solutions because the lines are parallel. Any other pair of equations would have 1 solution.
The table is attached in the figure.
g(x) = f(4x) ⇒⇒⇒ differentiating both sides with respect to x
∴ g'(x) = ![\frac{d}{dx} [f(x)] * \frac{d}{dx} [4x]=4*f'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29%5D%20%2A%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5B4x%5D%3D4%2Af%27%28x%29)
⇒⇒⇒⇒⇒⇒ chain role
To find g '(0.1)
Substitute with x = 0.1
from table:
f'(0.1) = 1 ⇒ from the table
∴ g'(0.1) = 4 * [ f'(0.1) ] = 4 * 1 = 4
