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jenyasd209 [6]
2 years ago
6

Can someone work this out ? thank you

Mathematics
1 answer:
Anna11 [10]2 years ago
7 0

Answer:

Step-by-step explanation:

(x + y)² - (x - y)² = 4xy

t = a² - b²

= (√8+2)²-(√8-2)²                    (here, x = √8 & y = 2}

=4*√8*2

=8√8

=8√2*2*2

=8*2√2

=16√2

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The line through (-1/2, -7/2) and (2, 14) in slope intercept form??
icang [17]
To find the equation of a line in slope-intercept form given two points, we must arrange the points this way to find the slope (m):

m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

We can replace the variables in this equation with the values from the points we have been given, (\frac{-1}{2},  \frac{-7}{2}) and (2, 14). We know that the x-values always come first in an ordered pair, so we can put those in our equation first.
It doesn't really matter which x-value goes in which x-value slot in the equation as long as you match up the y-values in the same fashion. But for the sake of convenience, we will call the 2 in the second ordered pair x_{2} and the \frac{-1}{2} in the first ordered pair x_{1}.
Now, we can match these values in our equation, and while we're at it, we can substitute the appropriate y-values into their places as well.

m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

m =  \frac{14 -  \frac{-7}{2} }{2 -  \frac{-1}{2} }

Now, we can see that we are subtracting negatives in this equation. Remember that whenever you subtract a negative, it is the same as adding a positive. So, this equation could be rewritten as

m =  \frac{14 +  \frac{7}{2} }{2 +  \frac{1}{2} }

and we can change the improper fraction in the numerator into a mixed number for ease of addition.

m =  \frac{14 + 3 \frac{1}{2} }{2+ \frac{1}{2} }

And here, we can add, since it's made simple for us.

m =  \frac{17  \frac{1}{2} }{2  \frac{1}{2} }

Finally, to get the slope we can complete the fraction by dividing.

17.5 ÷ 2.5 = 7

The slope of this equation, m, is 7, and so far, our equation looks like this:

y = 7m + b

Now, to find y-intercept.

To do this, we simply have to substitute one of the ordered pairs in for the appropriate x- and y-values and solve. To make it easier on ourselves, we can use (2, 14) so we don't have to deal with negative numbers or fractions.

y = 7x + b

Let us substitute in our values.

14=7(2)+b

Now, we can solve by multiplying the 7 and 2.

14=14+b

Here, we can subtract 14 from both sides, since it is added to both in the equation, and we are left with

0 = b

which can be flipped around to show

b=0

The y-intercept of this line is 0.

Now, we can make this known in our equation like this:

y=7x+0

Or, for neatness' sake, we can just say

y=7x

which is your final equation.

The line through (\frac{-1}{2},  \frac{-7}{2}) and (2, 14) in slope-intercept form is <span>y=7x.
Hope that helped! =) </span>


7 0
3 years ago
PLEASE SHOW ALL YOUR WORK TO GET BRAINLIEST AWARD
krek1111 [17]
<span> 7x+2y=5;13x+14y=-1 </span>Solution :<span><span> {x,y} = {1,-1}</span>  </span>System of Linear Equations entered :<span><span>  [1] 7x + 2y = 5 </span><span>  [2] 13x + 14y = -1 </span></span>Graphic Representation of the Equations :<span> 2y + 7x = 5 14y + 13x = -1 </span>Solve by Substitution :

// Solve equation [2] for the variable  y  
 

<span> [2] 14y = -13x - 1 [2] y = -13x/14 - 1/14</span>

// Plug this in for variable  y  in equation [1]

<span><span>  [1] 7x + 2•(-13x/14-1/14) = 5 </span><span>  [1] 36x/7 = 36/7 </span><span>  [1] 36x = 36 </span></span>

// Solve equation [1] for the variable  x  

<span><span>  [1] 36x = 36</span>  <span>  [1] x = 1</span> </span>

// By now we know this much :

<span><span>  x = 1</span> <span>  y = -13x/14-1/14</span></span>

<span>// Use the  x  value to solve for  y  
</span>

<span>   y = -(13/14)(1)-1/14 = -1 </span>Solution :<span><span> {x,y} = {1,-1}</span>  <span> Processing ends successfully</span></span>
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3 years ago
At what value of x does the graph of the function f(x) have a vertical asymptote?
choli [55]
It will have a vertical asymptote when the denominator approaches zero.

2x-6=0

2x=6

x=3

So the vertical asymptote is the vertical line x=3
3 0
3 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
MAVERICK [17]

Answer:

(-2,-5)

Step-by-step explanation:

y = 2x-1

3x-y = -1

We can use substitution

3x - (2x-1) = -1

Distribute the minus sign

3x -2x+1 = -1

x +1 =-1

Subtract 1 from each side

x+1-1 = -1-1

x=-2

Now we need to find y

y = 2x-1

y = 2(-2) -1

y = -4-1

y = -5

(-2,-5)

3 0
3 years ago
Tìm giá trị của x đẻ căn thức sau có ý nghĩa<br> √(3x-6)
jolli1 [7]

Answer:

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Step-by-step explanation:

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