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Ksivusya [100]
3 years ago
12

Can someone help me with 9 and 11 please!

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

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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
Which expression is equivalent to -5a + 12b - c + 5a - 7b + 12c after combining like terms?
just olya [345]

Answer:

5b + 12c

Step-by-step explanation:

-5a +5 a = 0

12b-7b = 5b

12c= 12c

therefore you have the expression 5b+12c

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Answer:Use proportions to find scale measurements or actual ... If a drawing is to scale, you can use proportions to determine the ... First, create a proportion

Step-by-step explanation:

Use proportions to find scale measurements or actual ... If a drawing is to scale, you can use proportions to determine the ... First, create a proportion

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2 years ago
T-Mobile has a family plan of four lines $120 additional lines are $10 each per month. If Jason wants to spend at most $175 per
Irina-Kira [14]

Answer:

5 lines

Step-by-step explanation:

hope this helps.

5 0
3 years ago
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Matt is cutting quilt squares measuring 3 inches on each side. He wants to use them to make a rectangular wall hanging measuring
Andrei [34K]

Answer:

Matt will need 10176  square quilts to cover the wall

Step-by-step explanation:

To answer this perfectly, we will have to first convert everything to the same unit.

dimensions of the quilt squares = 3 inches

Length of the wall = 1 yard = 36 inches

Breadth of the wall = 212 feet = 2544 inches.

The next step, is to find the area of the wall that Matt is covering.

Area of wall = length X breadth = 36 X 2544 = 91584in ^{2}

We will also find the area of the square quilts. This is given as length X length = 3^{2}=9 in^{2}

to get the number of square quilts that will cover that area, we will have to divide the area of the wall by the area of the quilts

= 91584 /9 = 10176 quilts

Matt will need 10176 quilts to cover the wall

5 0
3 years ago
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