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3 years ago

Which of the following is equivalent to?

Mathematics

1 answer:

horsena [70]3 years ago

3 0

Answer:

Answer is 1/6

Step-by-step explanation:

${36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ \\ = \frac{1}{ \sqrt{36} } \\ \\ = \frac{1}{6}$

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Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the poi

Dennis_Churaev [7]

Answer:

$y=\frac{5}{7}x+\frac{135}{7}$

Step-by-step explanation:

You only need two points on a line to find the equation for that line.

We are going to use 2 points that cross that line or at least come close to. You don't have to use the green points... just any point on the line will work. You might have to approximate a little.

I see ~(67.5,67.5) and ~(64,65).

Now once you have your points, we need to find the slope.

You may use $\frac{y_2-y_1}{x_2-x_1}$ where $(x_1,y_1) \text{ and } (x_2,y_2)$ are points on the line.

Or you can line up the points vertically and subtract then put 2nd difference over 1st difference.

Like this:

( 64 , 65 )

-( 67.5, 67.5 )

--------------------

-3.5 -2.5

So the slope is -2.5/-3.5=2.5/3.5=25/35=5/7.

Now use point-slope form to find the equation:

$y-y_1=m(x-x_1)$ where $m$ is the slope and $(x_1,y_1)$ is a point on the line.

$y-65=\frac{5}{7}(x-64)$

Distribute:

$y-65=\frac{5}{7}x-\frac{5}{7}\cdot 64$

Simplify:

$y-65=\frac{5}{7}x-\frac{320}{7}$

Add 65 on both sides:

$y=\frac{5}{7}x-\frac{320}{7}+65$

Simplify:

$y=\frac{5}{7}x+\frac{135}{7}$

6 0

3 years ago

Simplify a with the power of 0

nydimaria [60]

A ^ 0 = 1.

This is the final solution.

3 0

3 years ago

Write the rate as a fraction in simplest form: 492 miles in 8 hours.

Lostsunrise [7]

123 miles 2 hours

Tanks

8 0

3 years ago

Plese i need help on this one !!!!!!!

patriot [66]

Answer:

I got 32.

Step-by-step explanation:

I used the Pythagorean theorem to find the lengths of the width and length. The length between (-1, 4) and (3, 3) was approximately 4 in. The distance between (-1, 4) and (-3, -4) was approximately 8 in. I then used those numbers to find the perimeter ((2*4)+(2*8))

8 0

3 years ago

Read 3 more answers

What is 3x+2y=-13 3x+4y=1

Zepler [3.9K]

Answer:

The values are

x = -25/9 = -2 7/9

y = 7/3 = 2 1/3

Step-by-step explanation:

3x + 2y = -13 --------eqn 1

3x + 4y = 1-------------eqn2

Using eqn 2 to get the value of y

3x + 4y = 1

4y = 1 - 3x

Dividing both sides by 4,to get y

4y/4 =( 1 -3x) / 4

y = (1 - 3x) / 4

Since we've gotten the value for y, substitute the value into eqn 1

3x + 2y = -13

3x + 2(3x - 1)/4 = -13

Opening the bracket

3x + (6x - 2)/4 = -13

LCM = 4

(12x + 6x - 2) / 4 = -13

18x - 2 / 4 = -13

Then we cross multiply

18x - 2 = -13 * 4

18x - 2 = - 52

18x = -52 + 2

18x = -50

Divide both sides by 18, to get the value of x

18x/18 = -50/18

x = -25/9

or x = -2 7/9

The value of x is now known, so let's go back to eqn 2

Substitute x = - 25/9

3x + 4y = 1

3(-25/9) + 4y = 1

Open the bracket

-75/9 + 4y = 1

Make y the subject of the formula

4y = 1 + 75/9

LCM = 9

4y = (9 + 75)/ 9

4y = 84/9

To get y, divide both sides by 4

4y/4 = 84/9 / 4/1

y =

Note : when division changes to multiplication, it always be in its reciprocal form

y = 84/9 / 1/4

y = 84 * 1 / 9 *4

y = 84/ 36

y = 7/3

y = 2 1/3

4 0

3 years ago