1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
telo118 [61]
3 years ago
10

A railway engine starts shunting wagons by first going 1000m north of railway station. It reverses and travels 1250m and then it

again moves 600m north. Finally moving 800m south it comes to rest. How far is the engine from the station and in which direction?
Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

450m South

Step-by-step explanation:

Total distance traveled Northward :

1000m + 600m = 1600m Northward

Total distance traveled Southward :

1250m + 800m = 2050m

The Displacement :

Southward - Northward

2050m - 1650m

= 450m

Since, it covers more distance towards the south, then, direction is southward

450m South

You might be interested in
The graph of f (x)= x² has been translated 4 units down.
weeeeeb [17]

Answer:

the new equation is f(x)=x^2-4  

vertex- (0,-4)

zeros- (-2,2)

y-intercept- (-4)

and it has a minimum

Step-by-step explanation:

4 0
3 years ago
Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5
miskamm [114]

Answer:

y+3=\frac{5}{3}(x-9)  or  y=\frac{5}{3}x-18

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

y=\frac{5}{3}x-4

therefore

The slope m of the line parallel to the given line is

m=\frac{5}{3}

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{5}{3}

point\ (9,-3)

substitute

y+3=\frac{5}{3}(x-9) ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

y=mx+b

we have

y+3=\frac{5}{3}(x-9)

Isolate the variable y

y+3=\frac{5}{3}x-15

y=\frac{5}{3}x-15-3

y=\frac{5}{3}x-18

7 0
3 years ago
If 15 times a number to equal 647
Ainat [17]
I'm assuming, from what you've given me that the question is asking to do this.

15n=647
647 divided by 15 equals 43.13...repeated
Let me know if this is what you are looking for.

3 0
3 years ago
If f(×)=4×^2+1 and g(x)=×^2-5 find (f-g)(×)​
trasher [3.6K]

Answer:

\large\boxed{(f-g)(x)=3x^2+6}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6

8 0
3 years ago
Find all points, if any, where the graph of 4x - y = 4 intersects y - 2 = 2(x - 1)^2.
puteri [66]
The answer is A. :). Have a great day!
5 0
3 years ago
Read 2 more answers
Other questions:
  • the ratio of bill's money to henry's money was 5:6. After bill spent $800 on a tv set, the ration became 1:2. How much money did
    13·2 answers
  • Strep throat is caused by Streptococcus bacteria. The amount of bacteria multiplies at a rate of 10^13 per 10^2 hours. Part B Wh
    10·1 answer
  • Can someone answer this question?
    15·2 answers
  • Which graph represents the PARENT function of y = x2 - 5?
    12·2 answers
  • An airline estimates that 94% of people booked on their flights actually show up. If the airline books 68 people on a flight for
    12·1 answer
  • 7th grade math
    9·1 answer
  • Find the missing angle measure for the triangle.<br> PLSSSSSS HELP
    15·2 answers
  • I NEED HELP WITH NUMBER 3 HURRY
    14·1 answer
  • A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Dir
    11·1 answer
  • What similarity statement can you write relating the three triangles in the diagram?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!