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3 years ago

PLEASE HELP!! i'm struggling sm :/

Mathematics

1 answer:

Bogdan [553]3 years ago

5 0

Answer:

Check boxes 3, 4, 6, and 8.

Step-by-step explanation:

We have the equation:

$y=-3x+2$

And we want to select all equations that are perpendicular to the above equation.

Remember that perpendicular lines have slopes who are negative reciprocals of each other.

Therefore, the slope of our equations must be the negative reciprocal of -3.

The negative reciprocal of -3 is 1/3. We flipped -3 to -1/3, and then multiplied by a negative.

Therefore, any equation with a slope of 1/3 is perpendicular to our original line.

Therefore, we will check boxes 3, 4, 6, and 8.

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What is 2÷22 I need help

morpeh [17]

Two divided by twenty-two is .090909 repeating

3 0

3 years ago

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h

Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0

3 years ago

Which equation represents a vertical line ?<br> y = -x <br> y = 12 <br> x = y <br> x = 12

OLEGan [10]

Y is a vertical axis
x is a horizontal axis
when drawing a line, the line drawn to them is perpendicular so lines only touching the x axis are vertical and lines touching only the y axis are horizontal

the
a vertical line is x=value

the only thing that works is x=12

3 0

3 years ago

Read 2 more answers

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.

Free_Kalibri [48]

Answer:

1191.4 ; 34.5

Step-by-step explanation:

Given the data:

29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150

The sample variance and standard deviation can be obtained thus :

Σ(X - m)² / (n - 1)

Where, m = mean of the sample

n = sample size

The standard deviation equals, sqrt(variance )

Using a calculator:

The variance, σ² ;

Mean = Σx / n = 1681 / 20 = 84.05

(x -m)^2

[(29-84.05)^2 + (37-84.05)^2 + (38-84.05)^2 + (40-84.05)^2 + (58-84.05)^2 + (67-84.05)^2 + (68-84.05)^2 + (69-84.05)^2 + (76-84.05)^2 + (86-84.05)^2 + (87-84.05)^2 + (95-84.05)^2 + (96-84.05)^2 + (96-84.05)^2 + (99-84.05)^2 + (106-84.05)^2 + (112-84.05)^2 + (127-84.05)^2 + (145-84.05)^2 + (150-84.05)^2] / 19

22636.95 / 19

= 1191.4184 = 1191.42

Standard deviation = sqrt( Variance)

Standard deviation = sqrt(1191.4184)

Standard deviation = 34.516929 = 34.52

4 0

3 years ago

A number is multiplied by 2. Then that product is multiplied by 5. Write to explain how you know what digit is in the ones place

Kazeer [188]

When you multiply a number by 5 and then by 2 it is the same as multiplying by 10. multiplying by 10 means you add a zero to the end of the number so the digit in the ones column will be always be zero

3 0

3 years ago