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ElenaW [278]
3 years ago
10

On a number​ line, suppose point E has a coordinate of 2​, and EG=6. What are the possible coordinates of point​ G?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
6 0
G can be on the left or right of E. If it’s on the left it is at point 2-13=-11, and if it’s on the right it is at point 2+13=15. So the two possible positions for G are -11 and 15.
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The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:
Tcecarenko [31]

The answers are:

  • Part A: The slope of AB and BC are the same.
  • Part B :The initial value is 60 m and the slope is 40 m/min.

<h3>What is the triangles about?</h3>

Note that the graph depict the depth, y, in meters, of a shark that moves from the surface of an ocean for a given amount of time, x, in minutes.

So:

Part A :

We  look at the two right triangles:  Δ ABD and Δ BCE, and where D(2,100) and E(1,60) points.

Since the  triangle are the same and thus, the slope of line segment AB: tan θ = AD/BD

= 140 - 100 / 2 - 1

= 40

Since the the slopes of line segment BC will be:

tan a = BE/CE

= 100 - 6 / 1 - 0

= 40

So, θ = α and the slope of AB and BC are similar.

Part B :

Using the graph, one can see that  the initial value of the graph is 60 m and it stands for the initial position of the shark

e.g.  at point t = 0 min, the shark was seen at a depth of 60 m from the water surface.

So therefore, since the slope of the graph is 40 it implies that the rate of change of distance from the Ocean surface of the shark in regards to the  time in minutes have to be 40 m per min.

Therefore, The answers are:

Part A: The slope of AB and BC are the same.

Part B :The initial value is 60 m and the slope is 40 m/min.

Learn more about triangles from

brainly.com/question/20983131

#SPJ1

3 0
1 year ago
Jane spent 2/5 of her money on games. She had $120 remaining. What was the cost of the games Jane bought?
Ostrovityanka [42]

Answer:

i think it would be $80 (brainliest??)

Step-by-step explanation:

jane had a total of $200 BEFORE she spent on 2 games

1. $40

2. $40

3. $40

4. $40

5.$40

2 games = $80

3 games = $120 (money she had left)

5 0
3 years ago
What is the answer to Ax - c = b
Korvikt [17]
Depends on what you are talking about, what is A,x,c and b.
If A is an invertible matrix and x,c,b are vectors of correct dimensions you get
Ax=b+c
x=A^(-1)(b+c)
if x is a variable and A,c,b are constants you get
Ax=b+c
x=(b+c)/A
8 0
3 years ago
Read 2 more answers
A deep sea driver descended from a rock with an elevation of -45.5 feet to a coral reef with an elevation of -88.5 feet. How far
vlada-n [284]

Answer:

43 feet

Step-by-step explanation:

How far is referring to the distance between the two numbers given.

In general, the distance between two numbers, a and b,

is given by |b-a| .

You have that you are finding the distance between -45.5 ft and -88.5 ft.

So the distance between those numbers is given by:

|-45.5-(-88.5)|

|-45.5+88.5|

|88.5-45.5|

|43.0|

|43|  

43      (Since the number inside the | | has a distance of 43 from 0)

The distance between -45.5 ft and -88.5 ft is 43 ft.

7 0
3 years ago
During a weekend trip, Ashley will drive a 150 miles of the 200 mile road trip, what percent of the total mile age will she driv
madreJ [45]

It is simple, you are converting 150 of 200 into a fraction and reducing it

150/200=15/20

5 goes into 20 4 times

15/20=1/4

1/4=0.75=75%

7 0
3 years ago
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