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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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Decide whether the relation defines a function.
diamong [38]

Answer:

A

Step-by-step explanation:

Lets first solve the relation for "y". Shown below:

3x=9-4y\\4y=-3x+9\\y=-\frac{3}{4}x+\frac{9}{4}

This is clearly an equation of a line in the form  y=mx+c

It will be a negatively sloped line, when graphed.

We can use vertical line test to determine function or relation. If a vertical line passes through only 1 point in the graph, we say that it is a function.

Think of a negatively sloped line. No matter where you draw a vertical line, it will only cut the line at 1 point.

So, this is definitely an equation of a function

Correct answer is A

3 0
3 years ago
The circumference of a soda can is 62.8 mm. Find the radius of the soda can?
Rus_ich [418]

Answer:

9.99493

Step-by-step explanation:

You divide the circumference by pi to get the diameter. Then if you want the radius, you just simply cut the diameter in half!

6 0
3 years ago
NEED ANSWERS!!!!!!!!!!
ch4aika [34]

Answer:

<em>(1,0) and (3,0)</em>

Step-by-step explanation:

The roots are always shown where the parabola crosses the x-axis.

In this particular graph, the parabola crosses at (1, 0) and (3, 0). Which means the roots are:

<em>x = 1 and x = 3</em>

6 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-3, 2) and
JulsSmile [24]

Answer:

The answer is x = -3.

Step-by-step explanation:

4 0
3 years ago
nancy spent 7/8 hour working out at the gym she spent 5/7 of that time lifting weights what fraction of an hour did sje spentld
Juli2301 [7.4K]

\frac{9}{56}\\ Fraction of hour was spent by NAncy in lifting weights

Step-by-step explanation:

Time spent at the gym by Nancy = \frac{7}{8}\,hour

Time spent at lifting weights =  \frac{5}{7}\,hour

What fraction of hour she spent in lifting weights?

Solving:

Fraction of hour she spent in lifting weights= Time spend at the gym-Time spent at lifting weights

Fraction of hour she spent in lifting weights=\frac{7}{8}\,hour-\frac{5}{7}\,hour

=\frac{49}{56}-\frac{40}{56}\\=\frac{49-40}{56}\\=\frac{9}{56}\\

So, \frac{9}{56}\\ Fraction of hour was spent by Nancy in lifting weights

Keywords: Word Problems involving Fractions

Learn more about Word Problems involving Fractions at:

  • brainly.com/question/1648978
  • brainly.com/question/1677114
  • brainly.com/question/605571

#learnwithBrainly

7 0
3 years ago
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