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MA_775_DIABLO [31]
3 years ago
15

Name the property illustrated by each question. 5x · (4y + 3x) = 5x · (3x + 4y)

Mathematics
2 answers:
UNO [17]3 years ago
5 0
<span>Addition property of equality</span>
Svet_ta [14]3 years ago
4 0

Answer:

The property used here is:

Commutative property of addition

Step-by-step explanation:

Commutative property of addition states that if a and b are any two elements

then, a + b = b + a

We are given a equality we have to determine the property used here

5x · (4y + 3x) = 5x · (3x + 4y)

In the above equation, 4y + 3x = 3x + 4y

a= 4y and b= 3x

Then, a+b=b+a

Hence, the property used above is:

Commutative property of addition

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Which expression can you simplify by combining like terms?
Sonbull [250]

Answer:

6 {d}^{2} + 5cd - 3dc + 8

Step-by-step explanation:

b/c we can substructure 5cd and 3dc b/c it doesn't matter if the place of cd and dc change. what I mean if 5 ×3=15 and it is the same with 3×5=15 both of the product are the same but, if it is - and ÷ it wil be wrong for example 5-3=2 but 3-5= -2

if is helpful ❤❤

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6 0
3 years ago
A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
photoshop1234 [79]

Answer:

y=13x+32

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

  • (x1, y1) = (2,60)
  • (x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

  • m is the slope
  • b is the y-intercept

We know the slope of the function can be found as following:

m = \frac{y2 - y1}{x2 - x1}  so in this situation we have:

<=> m=\frac{99-60}{5-2}=\frac{39}{3}=13

=> y = 13x + b (1)

Because the line goes through point  (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

y=13(9)+32\\y=117+32=149

Hence, the company will produce 149 engines in 9th year

6 0
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