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Mademuasel [1]
4 years ago
5

%7Bk%7D%5E%7B2%7D%20" id="TexFormula1" title="(x + k) {}^{2} = {x}^{2} + 1x + {k}^{2} " alt="(x + k) {}^{2} = {x}^{2} + 1x + {k}^{2} " align="absmiddle" class="latex-formula">
find the value of k.
Mathematics
1 answer:
ozzi4 years ago
4 0
If we take the equation and multiply out the left side, we get....

x^{2} + 2xk + k^{2} = x^{2} + x +k^{2}

The x^2 and k^2 cancel out on both sides leaving us with this...

2kx = x

If we divide both sides by 2x to isolate k, k ends up = 1/2
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Schach [20]

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7 0
2 years ago
Read 2 more answers
If five times the successor of a number is added to an original number the sum is 83
Alexus [3.1K]

Answer:

Let the original number be x

Successor is defined as the number which comes immediately after a particular number.

also, the  successor of a whole number is the number obtained by adding 1 to that number.

Then, the successor of a number x is, x+1

As per the given condition :

we have;

5(x+1)+x =83

Using distributive property on LHS (i.e, a\cdot(b+c)=a\cdot b+a\cdot c )

Then, we have

5x+5+x=83

Combine like terms;

6x+5=83

Subtract 5 from both the sides we get;

6x+5-5=83-5

Simplify:

6x=78

Divide both side by 6,

\frac{6x}{6} =\frac{78}{6}

Simplify:

x =13

Therefore, the original number x is, 13


8 0
3 years ago
DONT ANSWER JUST FOR POINTS! PLEASE, PLEASE HELP ME! I NEED THE ANSWER! RIGHT AWAY! ILL GIVE MOST BRAINLIEST!
Nataliya [291]

Answer:

  • D. They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

<em>Refer to attached</em>

The points are plotted and connected to make triangles

As per the diagram, the triangles are similar, each side of ABC is reduced twice to make the corresponding sides of DEF, so the scale factor is 1/2.

<u>Correct choice is D</u>

  • They are similar by the definition of similarity in terms of a dilation.

6 0
3 years ago
Which equation represents a linear function?<br> x= 3<br> y=-3x + 10<br> y = 150<br> y = 3x2 + 1
umka21 [38]
Y=-3x+10 follows the format of linear functions which is y=mx+b
7 0
3 years ago
In History, you earned an exam score of X-85 where the exam average was μ-65 with a standard deviation of σ-5. In Biology, you e
topjm [15]

Answer: D. History

Step-by-step explanation:

To answer this question, we need to use the z-score formula written below:

\frac{x-pop. mean}{stan. devi.}

Now we'll just plug in the numbers and solve.

History:

\frac{85-65}{5}  = 4

Biology:

\frac{90-85}{10} =0.5

As we can see, history wields a higher z-score than biology, thus leaving us with option D. History

4 0
3 years ago
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