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Novosadov [1.4K]
3 years ago
7

4. Barry wants to make a drawing that is 1/4 the size of the original. If the tree in the original drawing is 14 inches tall, ho

w tall will the tree be in Barry's drawing be?
Mathematics
2 answers:
valkas [14]3 years ago
8 0
First what you do is divide 14 by 4 and you get 3.5 or 3 feet and 6 inches.
yulyashka [42]3 years ago
3 0

<u>Answer: </u>The height of the tree in Barry's drawing = 3.5\ \text{inches}

<u>Step-by-step explanation:</u>

Given: The height of the tree in the original drawing = 14 inches

Since, the height of the tree in the Barry's drawing  is 1/4 the size of the original.

Then, the height of the tree in Barry's drawing = \frac{1}{4}\times14=3.5\ \text{inches}

Therefore, the height of the tree in Barry's drawing = 3.5\ \text{inches}

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Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

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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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