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zzz [600]
2 years ago
7

On a map with a scale of 1 : 50000 , he shortest distance from the railway line to the river is 2.1km. What distance on the map

would represent this?
Mathematics
1 answer:
Elena L [17]2 years ago
4 0

Answer:

105,000

Step-by-step explanation:

I'd the scale is 1 : 50,000, you would first take the 2.1km and multiply it by your 50,000. This will put your answer to scale coming in at 105,000 km on the map

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A quadratic equation is shown below:
Valentin [98]
Part A)

The given equation is:

25 x^{2} +10x+1=0

The radicand or discriminant(d) of the equation will be:

d=(10)^{2}-4(25)(1) \\  \\ 
d=100-100 \\  \\ 
d=0

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square. 


Part B)

The given equation is:

4 x^{2} -4x+1=0

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:

4 x^{2} -2x-2x+1=0 \\  \\ 
2x(2x-1)-1(2x-1)=0 \\  \\ 
(2x-1)(2x-1)=0 \\  \\ 
(2x-1) ^{2}=0 \\  \\ 
2x-1=0  \\  \\ 
x= \frac{1}{2}
4 0
3 years ago
What is the simplified form of 5 square root x^4 • 5 square root x^4
laiz [17]

Answer: C

Step-by-step explanation:

You can write each term into a fraction.

\sqrt[5]{x^4} becomes x^4^/^5

When you multiply 2 terms with the same base, you add the exponents.

x^4^/^5*x^4^/^5=x^4^/^5^+^4^/^5=x^8^/^5

x^8^/^5 is also the same as x\sqrt[5]{x^3}

You get this because \sqrt[5]{x^8} =\sqrt[5]{x*x*x*x*x*x*x*x}. When you pull out 5 os x, you are left with x³ on the inside.

8 0
3 years ago
A math club receives a 120 discount on calculators. If each
mixas84 [53]

Answer:

$780

Step-by-step explanation:

15x60 = 900   900 - 120 = $780

6 0
3 years ago
What is the gravity of a location if the mass of an object is 300 kg and it has a weight of 450N ?
kozerog [31]

The gravity is 1.5m\s^2

Further explanation:

The weight of any object is given by the product of mass and gravity of the object

Let

m denote the mass of object

g be the gravity

and

w be the weight

Then the statement can be mathematically written as:

w=m*g

Given

m=300kg

w=450N

Putting the values of m and w into the formula

450=g*300\\g= \frac{450}{300}\\g=1.5\ ms^{-2}

The gravity is 1.5m\s^2

Keywords: Mass, Gravity

Learn more about gravity at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

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