Answer:
Arithmetic sequence.
Step-by-step explanation:
We have been given 9,5,1 and -3
We need to check what kind of sequence is this.

d is common difference we will check difference of consecutive terms.



We can see the difference between all the terms are same that is -4
So, this is an arithmetic sequence.
Arithmetic sequence is the sequence in which the difference between consecutive terms are same.
Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:

is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :

Please refer to the attached image for the given dimensions and coordinates.
It is clearly visible that:
The given triangle RST has coordinates in first quadrant.
and the resulting coordinates R'S'T' are in third quadrant.
The rotation of angle from 1st quadrant to 2nd quadrant is
and
The rotation of angle from 2nd quadrant to 3rd quadrant is
.
<em></em>
<em> total rotation is </em>
.
Answer:
distributive property
Step-by-step explanation:
we know the distributive property states that the multiplication of a number (in this case, the number 4) by a sum (in this case is a subtraction: x-6) is equal to the sum of the multiplications of that number for each of the terms that belong to the sum:
we have: 4(x-6)
we apply the distributive property, so we have
4(x-6)=4*x-4*6
4(x-6)=4x-24
Answer:
Step-by-step explanation:
Here is an illustration of the problem:
----------------------------->|<------------------
A t J
Alex and Jo start from their separate homes and drive towards one another. The t indicates the time at which they meet, which is the same time for both. Filling in a d = rt table:
d = r x t
Alex 14 t
Jo 6 t
The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.
14t 6t
---------------------------------->|<------------------
A t J
The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles. In equation form:
14t + 6t = 5 and
20t = 5 so
t = .25 hours or 15 minutes.
If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.
Answer: The total price of $8 is the same for both taxi cabs for 3 miles.
Step-by-step explanation: if you look at the graph you can see the dot on 8(which is the total cost) and the number of miles is 3