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nirvana33 [79]
3 years ago
12

2x+y=1 9x + 3y = -3 The x-coordinate of the point of intersection is

Mathematics
2 answers:
bija089 [108]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello there!

If we have two equations, two lines and they intersect the key here is to find the value for x, then for y. By doing this we'll find the cartesian point for their common point. The point of intersection.

So Let us set the System of Linear equations. Solving it using the Addition Method.

\left \{{{2x+y=1}\atop {9x+3y=-3}}\right. \\ \left \{{{2x+y=1}*(-3)\atop {9x+3y=-3}}\right. \\\left \{{{-6x-3y=-3}\atop {9x+3y=-3}}\right. \\\\ 3x :3=-6 :3\\ x=-2\\ \\2(-2)+y=1\\ y=5\\

So the point of intersection is (-2,5) and x-coordinate is x=-2

Anvisha [2.4K]3 years ago
4 0
Hello : 
<span>2x+y=1 ....(1)
9x + 3y = -3....(2)
by (1) : y = -2x+1...(*)
by (2) : 3(3x+y) = - 3
3x+y = -1
y = -3x -1 ....(**)
by (*) (**) :
-2x+1 = -3x -1
- 2x +3x = -1 -1 
x =-2  is </span><span>The x-coordinate of the point of intersection</span>
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<span>Granola bars cost $1 each and the yogurt is $.50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50. The second statement would yield $6 + $5.50, which equals $11.50.</span>
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I need to use the Pythagorean Theorem to find X. I don’t know how to do that!!
frutty [35]

Answer:

17) x=8

18) x=\sqrt{189} or x= 3\sqrt{21}

Step-by-step explanation:

So the rule is a^{2} +b^{2} =c^{2}, "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

                                               x^{2} +x^{2} =(8\sqrt{2})  ^{2}

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

<em>simplify</em> (╥︣﹏╥)    

                                                2x^2=8^2(\sqrt{2} )^{2}  

                                                  2x^2=64(2)

                                                   2x^2=128    

                                                  x^{2}= 128/2  

                                                     x^{2} =64

                                                        x=8      

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

                                                    c^{2} - b^{2} = a^{2}

It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!

                                                   15^{2} -6^{2} =x^{2}

                                                   225-36=x^{2}  

                                                     x^{2} =189

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        The more you do these, the easier they'll get, so don't worry!

                           

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Answer:

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Llana [10]
Hey, there! 

The parentheses would make it multiplication 
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A number was unknown, so we will label it as "x" 

So, let's see what we're working with here! 

If you chose "Option A" the question would be "five multiplied by a number and the sum of 3" (that doesn't give you the right answer" 
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So, this leaves "Option D." as your answer because 3 is getting multiplied by the sum of some number and five

Good luck on your assignment and enjoy your day!

~MeIsKaitlyn:)


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