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inn [45]
3 years ago
8

Which point is the solution to the following system of equations? x2 + y2 = 13 2x - y = 4

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

Answer with Step-by-step explanation:

2x-y=4  ⇒y=2x-4

x²+y²=13

⇒ x²+(2x-4)²=13

⇒ x²+4x²+16-16x=13

⇒ 5x²-16x+3=0

⇒ 5x²-15x-x+3=0

5x(x-3)-1(x-3)=0

⇒ (5x-1)(x-3)=0

either 5x-1=0 or x-3=0

x=1/5 or x=3

when x=1/5=0.2, y=2/5-4 i.e. y=-3.6

when x=3, y=2

Hence, solution of x²+y²=13 and 2x-y=4 is:

x=0.2,y= -3.6  and x=3,y=2

         

Anit [1.1K]3 years ago
4 0
There are two solutions.
.. (3, 2)
.. (0.2, -3.6)

_____
If you're choosing possibilities from a list, trying them in the equations usually gives quick results.

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Answer:

9 Model As.

Step-by-step explanation:

Let A represent Press A and let B represent Press B.

So, they own 14 total presses. This means that:

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Substitute this into the second equation: "

70(14-B)+55B=905

First, we can divide everything by 5 to simplify things:

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So, the company has 5 Model B presses.

Which means that the company has 14-5 or 9 Model A presses.

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3 0
3 years ago
The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle in inches? A. 4 inches B. 10
alekssr [168]

Answer:

A. 4 inches

Step-by-step explanation:

Applying,

P = 2(L+W)............. Equation 1

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make W the subject of the equation

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From the question,

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The sum of the 6th and seventh terms in a sequence of 12 numbers with a common difference is 16. What is the Sum of the number s
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Answer:

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commom difference = d

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