Answer: [B]: "contains one point" .
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Explanation:
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Given:
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x + y = 6 ;
x - y = 0 ;
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To solve for "x" ;
Consider the first equation:
x + y = 6 ;
subtract "y" from each side of the equation ; to isolate "x" on one side of the equation; and to solve for "x" ;
x + y - y = 6 - y ;
x = 6 - y ;
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Take the second equation:
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x - y = 0 ;
Solve for "x" ;
Add "y" to EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
x - y + y = 0 + y ;
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x = y
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x = 6 - y
Substitute "x" for "y" ;
x = 6 - x ;
Add "x" to Each side of the equation:
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x + x = 6 - x + x ;
2x = 6 ;
Now, divide EACH SIDE of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ;
2x/2 = 6/2 ;
x = 3 .
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Now, since "x = 3" ; substitute "3" for "x" in both original equations; to see if we get the same value for "y" ;
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x + y = 6 ;
x - y = 0
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Start with the first equation:
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x + y = 6 ;
3 + y = 6 ;
Subtract "3" from each side of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
3 + y - 3 = 6 - 3 ;
y = 3 .
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Now, continue with the second equation; {Substitute "3" for "x" to see the value we get for "y"} ;
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The second equation given is:
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x - y = 0 ;
Substitute "3" for "x" to solve for "y" ;
3 - y = 0 ;
Subtract "3" from EACH side of the equation:
3 - y - 3 = 0 - 3 ;
-1y = -3 ;
Divide EACH side of the equation by "-1" ; to isolate "y" on one side of the equation; and to solve for "y" ;
-1y/-1 = -3/-1 ;
y = 3 .
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So, for both equations, we have one value: x = 3, y = 3; or: write as:
"(3, 3)" ; { which is: "one single point" ; which is: Answer choice: [B] } .
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Answer:
So as we can see the vertex is useful in order to find maximum and minimum values. In physics is important because allow to calculate highest or minimum point on vertical motion for example. And on business is associated with minimum and maximum costs associated to a profit or revenue functions.
Step-by-step explanation:
The vertex is a property when we have quadratic equations. The general equation for the quadratic polynomial is given by:
In order to find the vertx we can begin finding the x coordinate with the following formula:
And after have the x corrdinate we can find the y coordinate like this:
And the coordinate pair represent the vertex on this case:
If a>0 the parabola open upwards and on this case the vertex would represent a minimum
In the other case when a<0 the parabola open downwards and on this case the vertex would represent a maximum
So as we can see the vertex is useful in order to find maximum and minimum values. In physics is important because allow to calculate highest or minimum point on vertical motion for example. And on business is associated with minimum and maximum costs associated to a profit or revenue functions.
Answer:26
Step-by-step explanation:
The reason i got 26:
-we substitute the letters(variables) and have 52=(k)2
but what is k? k is y divided by x (just like y is k times x)
I’m pretty sure it’s the third option
To use arithmetic to solve ot