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e-lub [12.9K]
3 years ago
14

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 8 to the number and multi

plied the sum by 2, it would equal 6. Which equation could Stephanie use to find the number, x?
A.
2 + (x + 8) = 6

B.
2(x + 8) = 6

C.
8(x + 2) = 6

D.
2(x) + 8 = 6
Mathematics
1 answer:
tia_tia [17]3 years ago
3 0
Hello!

You can break this down

If she added 8 to the number

x + 8

Multiplied the sum by 2

2(x + 8)

it would equal 6

2(x + 8) = 6

The answer is B

Hope this helps!
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3 years ago
Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =
pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

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3 years ago
What is true about the dilation?
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3 years ago
One term of (x+y)^m is 31,824x^18y^11<br> What is the value of m ?
alisha [4.7K]

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of (x+y)^m is 31,824x^{18}y^{11}  ...(i)

We know that that (r+1)th term in (a+b)^n is given by :-

T_{r+1}=^nC_ra^{n-r}b^r  ...(ii)

On comparing (i) with (ii) , we get

a= x \text{ and } b= y \\n-r =18 \text{ and }  r=11\\n=m

i.e.

m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29

Hence, the value of m is 29.

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3 years ago
What is the best way to describe the solution for the following question 2x+3=2x-8 A) There is only one solution (x=5) B) There
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Answer:B

Step-by-step explanation:

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