To add the two expressions, we can write it as:
4.6x-3 + (-5.3x+9)
We can distribute the plus sign (which means just drop the parenthesis in this case):
4.6x-3-5.3x+9
Now, we can simplify by combining like terms:
-0.7x+6
Answer:
305.12 square inches
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The area of the window is equal to the area of a rectangle, plus the area of two quarter circles plus the area of the smaller square between the two upper corners
so
Find the area of rectangle

Find the area of the two quarter circle
![A=2[\frac{1}{4}(3.14)(4^2)]](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B4%7D%283.14%29%284%5E2%29%5D)

Find the area of the smaller square between the two upper corners

The total area is equal to

Answer:
Below.
Step-by-step explanation:
I won't do all of these for you but I'll show you the general method.
First write each number as prime factors.
For example number 7:
LCM of 24 and 34.
24 = 2 * 2 * 2 * 3
34 = 2 * 17
The LCM is the multiple of all these factors EXCEPT if there is a duplicate number you only use it once.
There is one duplicate here - the 2 ( in bold) so we only use this once.
So the LCM = 2 * 2 * 2 * 3 * 17 = 408.
Number 1:
13, 25
13 = 13
25 = 5 * 5
There are no duplicates so the LCM = 13 * 5 * 5 = 325.
Number 18:
15, 84
15 = 3 * 5
84 = 2 * 2 * 3 * 7
Number 3 is common to both sets so it is only used once:
LCM = 2 * 2 * 3 * 5 * 7 = 420.
Number 40:
18, 48
18 = 2 * 3 * 3
48 = 2 * 2 * 2 * 2 * 3
There are 2 sets of duplicates here, 2 and 3 .
LCM = 2 * 2 * 2* 2 * 3 * 3 = 144.
Answer: Choice C) 1/3
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Explanation:
Two points on this line are (0,2) and (3,3)
Let (x1,y1) = (0,2) and (x2,y2) = (3,3)
We can use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(3 - 0)
m = 1/3
which is why the answer is choice C. The slope of 1/3 means that each time you rise 1 unit, you run 3 units to the right. In other words,
rise/run = 1/3
Answer:
the answer is square root 5 over 2 square root 2
Step-by-step explanation: