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3 years ago

Find the distance between these lines: y = -2x + 6 and y = -2x - 4

1 answer:

3 0

Let be A(xA, yA) a point in y = -2x + 6 , and B (xB yB) for y = -2x - 4
so D= sqrt( ( xA-xB)² + (yA-yB)²)
let A (0,6) and B(1. -6)
so the distance is D = sqrt (1+144)=12.04

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Which number line represents the solutions to |–2x| = 4?

OlgaM077 [116]

Hello :
|–2x| = 4
|2x| = 4 equiv : 2x=4 or 2x = -4
x=2 or x=-2

8 0

3 years ago

Read 2 more answers

A scale drawing of a building needs to be made using the scale 1 in = 200 ft. How tall will the building in the scale drawing be

givi [52]

10in would be the appropriate scale factor for the drawing. 2000 is 10x200. If each inch represents 200 feet, then you would need 10 to reach the desired scale factor of the original building

5 0

3 years ago

Aroon is asked to choose five integers so that the mode is 2 more than the median and the mean is 2 less than the median.

torisob [31]

The mean is the sum of observations divided by number of observations.

x bar = (∑x)/n
The median is the middle value of the ordered data or the value of the interval n+1/2 for odd numbered data.
The mode is the repeated value.

<h3>The highest value is 0</h3>

Number of observations= n= 5
Median is the 3rd value when the data is arranged.
Mode is unknown

The relation between Mean, Median and mode is given by

Mode= 3 Median - 2Mean---- equation1

According to the given condition

Mode= 2+median ----- equation 2

Putting equation 2 in equation 1

2+median= 3 Median - 2Mean

2 Mean= 3 Median - 2- Median

2 Mean= 2 Median - 2

Mean= Median-1

Mean- Median=1--------Eq. A

According to the second condition

Median- Mode=-2-----------eq. 3

Putting eq. A in eq. 3

Mean -1 - Mode=-2

Mean- Mode=-1

Mode- Mean=1------equation 4

Adding equation A and equation4

Mode- Mean=1

Mean- Median=1

Mode+ Median =2------- equation5

Again Putting equation2 in equation 5

2+median + Median =2

2 Median =2-2

2 Median =0

Median=0

Mean= 0-1

Mean= 0-1=-1

Mode- Mean=1

Mode-(-1)=1

Mode=0

Putting values in the formula of mean

x bar =∑x/5

(-1)5 = 0+0+ x1+x2+0

-5= x1+x2

So the highest value is 0.

Learn more about mean here

brainly.com/question/542771

brainly.com/question/14532771

6 0

3 years ago

(1.357 X 10^9) + 590,000 =

borishaifa [10]

Answer:

1.35759 x 10 ⁹

Step-by-step explanation:

i hope this helped

7 0

3 years ago

Pleaseee help me with these i did some but just wanna make sure I'm in the same page if its right. please explain how you got it

Sergeeva-Olga [200]

1. P = 2(9) + 2(4.5)
P = 18 + 9
P = 27 m

2. P = 5.2(2) + 1.3(2)
P = 10.4 + 2.6
P = 13 ft

3. P = 12.9(2) + 4.7(2)
P = 25.8 + 9.4
P = 35.2 cm

5 0

3 years ago