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zhuklara [117]
3 years ago
12

Name the property or properties illustrated by the statement if x+5=3 and 3=y, then x+5=y

Mathematics
1 answer:
oee [108]3 years ago
3 0
It is substitution. Because you are substituting 3=y into x+5=3
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What is the slope of the line?<br> 3(y - 1) = 2x + 2<br> Choose 1 answer:
fenix001 [56]

Answer:

2/3

Step-by-step explanation:

3(y - 1) = 2x + 2

3y - 3 = 2x + 2

3y = 2x + 5

3y/3 = 2x/3 + 5/3

y = 2/3x + 5/3

Does that help?

4 0
3 years ago
Winnie has 7 trophies she wants to display in an array.How many different arrays are possible? Explain.
Rama09 [41]
5,040 I think because 7•6•5•4•3•2•1=5040
6 0
3 years ago
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Expand the given power by using Pascal’s triangle. (9a - 10b)^6
xxMikexx [17]

Answer:

531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

Step-by-step explanation:

                     1                                n=0

                  1      1                            n=1

                 1   2   1                           n=2

                1  3  3  1                          n=3

              1  4  6  4   1                      n=4

             1  5 10 10 5  1                    n=5

           1 6 15 20 15 6 1                   n=6

This is where n is the exponent in

(x+y)^n.

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

Now we want to expand:

(9a-10b)^6 or we we can rewrite as (9a+(-10b))^6.

Let's replace x with (9a) and y with (-10b) in the expansion:

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

((9a)+(-10b))^6

=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6

Let's simplify a bit:

=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6

=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

8 0
3 years ago
Evaluate 5 c - 3 d+11 when c= 7 and d= 8
kotykmax [81]
5x7-3x8+11
35-24+11
11+11
The answer is 22
8 0
3 years ago
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Delbert Rowell drove his tractor rig 58,125 miles in 6 months. Estimate how many miles he drove in each month
zzz [600]

Answer:

just do 58,125 divided by 6

Step-by-step explanation:

6 0
3 years ago
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