rotation, then translation, then reflection
This isn't necessarily true. When two lines have equivalent slopes, then they are parallel and will never intersect.
y=1/2x + 12
y=1/2x + -2
These lines can't intersect because there are equal slopes.
Answer:
Step-by-step explanation:
Represent the sofa with S and the love seat with L.
So, we have:
--- Total Cost
Required
Determine the value of L
Substitute 2L for S in the first equation.
Divide both sides by 3
<em>Hence, a love seat costs 117.0</em>
<em></em>
<u>Using Graph</u>
See attachment for graph
S is plotted on the y-axis and L is on the x-axis.
The green line represents while the orange line represents
When the line of the graph is traced to the x-axis, we have:
Answer:
7
Step-by-step explanation:
3^0 = 1
3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243
3^6 = 729
3^7 = 2187
3^8 = 6581
===========
You can see that the pattern is beginning to repeat itself.
===================
So all you need do is take 2099 and divide by 3. You must pay attention to the remainder.
2099 / 4 = 524.75
The answer means that you go through the cycle 524 times getting 1,3,9,7,1 as the units digit.
In this case the remainder is 0.75 which is the same as 3/4. The remainder then is 3
If there is no remainder, the ending is a one.
if there is a remainder of 1 the answer is 3
If there is a 2 remainder, the number ends in 9
If there is a 3 remainder, the number ends in 7
And that's your answer.
Answer: Option B.
Step-by-step explanation:
The price per ounce can be calculated as the amount of you paid divided the number of ounces that you get.
A) we have a table:
ounces price
18 $1.5
36 $3.00
54 $4.5
We can see that here we have a linear relationship. for example, the price for 18 ounces is $1.5
Then the price per ounce is:
p = $1.5/18 = $0.083
B) here we know that 15 oz cost $0.75, the price per ounce is:
p = $0.75/15 = $0.05
C) here we have 11 ounces, and the price is $2.20
then we have:
p = $2.2/11 = $0.2
Then we can conclude that the least expensive is option B.
