Set up a system of equations:
2x+3y=6
x-3y=9
You can solve this with elimination by adding the two equations together:
3x+0y = 15
3x=15
x=5
Then, plug this value back into either of the original equations to find the y value:
5-3y=9
-3y=4
y= -4/3
The point of intersection is (5,-4/3)
1/3 is in fact NOT larger than 4/5. 4/5 is larger than 1/3.
Answer:
"Multiply the previous value by 2"
Step-by-step explanation:
Let's check the first 2 terms for all the answer choices.
1. Add
to the previous value:

Doesn't match.
2. Subtract
from the previous value:

Doesn't match.
3. Divide the previous value by 2:

Doesn't match.
4. Multiply the previous value by 2:

DOES WORK!
Also, doing the same thing with all the other values would give us matching answer. So this choice is right.
Answer:
29.42 units
Step-by-step explanation:
<u>1) Find the perimeter around the semi-circle</u>
To do this, we find the circumference of the circle using the given diameter:
where d is the diameter
Plug in 6 as the diameter

Divide the circumference by 2

Therefore, the perimeter around the semi-circle is 3π units.
<u>2) Find the perimeter around the rest of the shape</u>
Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those <em>vertical</em> sides facing the right add up to 6. We also know that all of those <em>horizontal </em>sides facing up add up to 7. Please refer to the attached images.
Therefore, we add the following:
7+6+7
= 20
Therefore, the perimeter around that area of the shape is 20 units.
<u>3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape</u>

Therefore, the perimeter of the shape is approximately 29.42 units.
I hope this helps!
Answer:
(x - 1) / (x + 3).
Step-by-step explanation:
x²+5x-6/x²+9x+18
Factoring top and bottom:
= (x + 6)(x - 1) / (x + 6)(x + 3) (x + 6) is common, so:
= (x - 1) / (x + 3) (answer).