Answer:
Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
+ + +
-7 -6 -5 -4 -3 -2 -1 0
+
1
+
2
+
3
0 1 2
Step-by-step explanation:
Answer:
- A. the distance between points W and X
Step-by-step explanation:
<u><em>Looking for the distance of 5 units</em></u>
A. the distance between points W and X
- -3 - (-8) = -3 + 8 = 5
- Correct
B. the distance between points X and Y
- 1 - (-3) = 1 + 3 = 4 < 5
- Incorrect
C. the distance between points X and Z
- 5 - (-3) = 5 + 3 = 8 > 5
- Incorrect
D. the distance between points Y and Z
Answer:
A) Red and Blue Bulbs
B) 262 lightbulbs.
Step-by-step explanation:
A) red and blue = 85+52=137
Yellow and green = 76+49=125
Answer to A is Red and Blue bulbs
Bulbs in all: We already know from A that there are 137 and 125 so 137+125 is 262.
Hope this helps plz hit the crown :D
The answer would be 70 degrees.
In order to find this answer, we must first look at the cos value of an angle. The unknown angle here gives us an adjacent side of 3.4 and a hypotenuse of 10. Thus, we can use the following with cos.
Cos(A) = 3.4/10 or Cos(A) = .34
As a result, we can then use the arccos function to find the answer.
acrcos(.34) = A
70.12 = A
Then when we round, we'd get 70.
Answer:
Step-by-step explanation:
Both expressions are examples of the <em>distributive property</em>, which basically says "if I have <em>this </em>many groups of some size and <em>that</em> many groups of the same size, I've got <em>this </em>+ <em>that</em> groups of that size altogether."
To give an example, if I've got <em>3 groups of 5 </em>and <em>2 groups of 5</em>, I've got 3 + 2 = <em>5 groups of 5 </em>in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.
Mathematically, we'd capture that last example with the equation
. We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this: 
.
This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: 
. When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as <em>3 groups of 5</em> and 10 is the same as <em>2 groups of 5</em>. Using the distributive property, we could write this as 
, so we can say that 
.
