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2 years ago

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Select all the equations that are equivalent to this equation. 1/4 (8X + 56) = 20 56 + 8X = 80 14 = 20 – 8x 2X +

14 =5

1 answer:

Leya [2.2K]2 years ago

3 0

1/4(8x+56)=20
1/4(8x)+1/4(56)=20
2x+14=20
2x=20-14
2x=6
X=3

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I need someone to help me do this, see attached documents for the questions

Brilliant_brown [7]

Answer:

<u><em>1.) 20.2</em></u>

Step-by-step explanation:

1.) You need to use the distance formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Find the distance of A to B first:

$(-2,2)(3,2)\\\\\sqrt{(3+2)^2+(2-2)^2}\\\\\sqrt{(5)^2+(0)^2}\\\\\sqrt{25} =5$

B to C:

$(3,2)(-1,-5)\\\\\sqrt{(-1-3)^2+(-5-2)^2}\\\\\sqrt{(-4)^2+(-7)^2}\\\\\sqrt{16+49}\\\\\sqrt{65} =8.06=8.1$

C to A:

$(-1,-5)(-2,2)\\\\\sqrt{(-2+1)^2+(2+5)^2}\\\\\sqrt{(-1)^2+(7)^2}\\\\\sqrt{1+49}\\\\\sqrt{50}=7.07=7.1$

Add distances to find the perimeter:

$5+8.1+7.1=20.2$

2.) Part A:

You need to use the mid-point formula:

$midpoint=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2} )$

$(3,2)(7,11)\\\\(\frac{3+7}{2},\frac{2+11}{2})\\\\(\frac{10}{2},\frac{13}{2})\\\\m=( 5,6.5)$

Part B:

1. Use the slope-intercept formula:

$y=mx+b$

M as the slope, b the y-intercept.

Find the slope of the two points A and B using the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Insert slope as m into equation.

Take point A as coordinates $(x,y)$ and insert into the equation. Solve for the intercept, b:

$(y)=m(x)+b$

Insert the value of b into the equation.

2. Use the mid-point coordinate. Take the slope.

If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:

$\frac{1}{2} =-\frac{2}{1}=-2\\$

Insert the new slope into the slope-intercept equation as m.

Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.

Insert the value of b.

4 0

3 years ago

elena55 [62]

Answer:

a)

<u>The equation would be:</u>

3x + 2 = 7*2

b)

Step 1. <u>Subtract 2 from both sides:</u>

3x = 6*2

Step 2. <u>Divide both sides by 3:</u>

3x/3 = 6*2/3
x = 2*2

c)

A single box weights x= 4 units.

6 0

3 years ago

Read 2 more answers

Solve for w k=2b-5w/3k

nlexa [21]

$k = \frac{2b - 5w}{3k}$
$3k^{2} = 2b - 5w$
$3k^{2} + 5w = 2b$
$5w = 2b - 3k^{2}$
$w = \frac{2}{5}b - \frac{3}{5}k^{2}$

7 0

3 years ago

Read 2 more answers

Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probabil

elena-14-01-66 [18.8K]

Answer: The probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

Step-by-step explanation:

Since we have given that

Number of times a coin tossed = 500

Number of times head occurs = 416

So, our Z-score would be

$Z_\alpha =\dfrac{416}{500}=0.832$

So, At significance level of 0.01, p-value of Z-score is .202704.

and p-value < 0.01, i.e. 0.202704<0.832.

Hence, the probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

7 0

3 years ago

What is the square or square root of 6 willing to give 24 points

evablogger [386]

There is no square root of 6 all you have to do is set up a square root box and put the 6 in it then you split it into factors next you put them in another square root box finally multiply, then you get your simplest form.

6 0

3 years ago