The table represents a function.

The area of a square can be represented by the expression x^10. Which monorail represents a side of a square

suter [353]

Answer:

The length of the side of a square is $\mathbf{x^5}$

Step-by-step explanation:

Area of square = $x^{10}$

We need to find length of the side

The formula used will be:

$Area\:of\:square=(length)^2$

Putting value of area of square, we can find length

$Area\:of\:square=(length)^2\\x^{10}=(length)^2\\Switching\:sides\\(length)^2=x^{10}\\Taking\:square\:root\:on\:both\:sides\\\sqrt{(length)^2}=\sqrt{x^{10}}\\(length)^{\frac{2}{3} }=x^{\frac{10}{2}} \\length=x^5$

So, length of the side of a square is $\mathbf{x^5}$

4 0

2 years ago

A given line has the equation 10x + 2y = −2.

worty [1.4K]

The equation is $\boxed{ \ y = - 5x + 12 \ or \ y = 12 - 5x} \ }$

<h3>Further explanation </h3>

This case asking the end result in the form of a slope-intercept.

<u>Step-1: find out the gradient. </u>

10x + 2y = -2

We isolate the y variable on the left side. Subtract both sides by 10x, we get:

2y = - 10x - 2

Divide both sides by two

y = -5x -1

The slope-intercept form is $\boxed{ \ y = mx + c \ }$ , with the coefficient m as a gradient. Therefore, the gradient is m = -5.

If you want a shortcut to find a gradient from the standard form, implement this:

$\boxed{ \ ax + by = k \rightarrow m = - \frac{a}{b} \ }$

10x + 2y = −2 ⇒ a = 10, b = 2

$\boxed{m = - \frac{10}{2} \rightarrow m = -5}$

<u>Step-2:</u> the conditions of the two parallel lines

The gradient of parallel lines is the same $\boxed{ \ m_1 = m_2 \ }$ . So $\boxed{m_1 = m_2 = -5}.$

<u>Final step:</u> figure out the equation, in slope-intercept form, of the parallel line to the given line and passes through the point (0, 12)

We use the point-slope form.

$\boxed{ \ \boxed{ \ y - y_1 = m(x - x_1)} \ }$

Given that

m = -5
(x₁, y₁) = (0, 12)

y - 12 = - 5(x - 0)

y - 12 = - 5x

After adding both sides by 12, the results is $\boxed{ \ y = - 5x + 12 \ or \ y = 12 - 5x} \ }$

<u>Alternative steps </u>

Substitutes m = -5 and (0, 12) to slope-intercept form $\boxed{ \ y = mx + c \ }$

12 = -5(0) + c

Constant c is 12 then arrange the slope-intercept form.

Similar results as above, i.e. $\boxed{ \ y = - 5x + 12 \ or \ y = 12 - 5x} \ }$

$\boxed{Standard \ form: ax + by = c, with \ a > 0}$

$\boxed{Point-slope \ form: y - y_1 = m(x - x_1)}$

$\boxed{Slope-intercept \ form: y = mx + k}$

<h3>Learn more </h3>

A similar problem brainly.com/question/10704388
Investigate the relationship between two lines brainly.com/question/3238013
Write the line equation from the graph brainly.com/question/2564656

Keywords: given line, the equation, slope-intercept form, standard form, point-slope, gradien, parallel, perpendicular, passes, through the point, constant

7 0

3 years ago

Read 2 more answers

The sum of two numbers is 153. if four times the smaller number is subtracted from the larger number, the result is 18. find th

sleet_krkn [62]

X = larger number and y = smaller number

x + y = 153....x = 153 - y
x - 4y = 18

153 - y - 4y = 18
153 - 5y = 18
-5y = 18 - 153
-5y = -135
y = -135/-5
y = 27 <=== smaller number

x - 4y = 18
x - 4(27) = 18
x - 108 = 18
x = 18 + 108
x = 126 <== larger number

4 0

3 years ago

PLEASE HELP ASAP!! VERY IMPORTANT!!!

erica [24]

It is c I think I'm not positive but Ive done this one

7 0

3 years ago

Cheryl is making a mixed fruit drink for a party. She mixes 7 pints each of Apple juice and cranberry juice. How many fluid ounc

bogdanovich [222]

We have that

<span>Cheryl mixes
</span><span>7 pints of Apple juice
and
</span>7 pints of <span>cranberry juice

we know that

total mixed fruit drink-----> 7+7-----> 14 pints

1 pint-------> is equals to 16 </span><span>fluid ounces
then
14 pints----------> X
X=14*16-----> x=224 fluid ounces

the answer is
</span>224 fluid ounces

3 0

3 years ago