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scZoUnD [109]
3 years ago
7

There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?

Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0

Answer:

13

Step-by-step explanation:

a pair=2

so 25/each pair of towns

25/2=12+1=13

You might be interested in
What is the distance between points (9,-7) and (9,4) on a coordinate plane
hichkok12 [17]

Answer:

11

Step-by-step explanation:

-7 to 4 is 11 Hoped that helped

4 0
3 years ago
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. Wha
Yanka [14]

Answer:

2

to find the slope you get the rise which is the difference between the y coordinates over the run which is the difference between the x coordinates. so 6/3=2

3 0
3 years ago
the base of a triangle is five less than twice it’s height, if the area of the triangle is 6 cm^2, find the length of the base
sammy [17]

Answer:

Base = 3 cm

Step-by-step explanation:

Area of a triangle =  \frac{1}{2} bh

Let h = height

base =  2 times the height - 5; b = 2h-5

Area = 6 cm²

 A = \frac{1}{2}bh

6 =\frac{1}{2}(2h - 5)(h)             Multiply 2h(h) -5(h)

6 (2) = 2(\frac{1}{2})(2h^{2} - 5h      Multiply both sides by 2 to remove the fraction

 12 = 2h²- 5h

2h ² -  5h  - 12 = 0                Set the equation = 0 and factor  

(2h + 3)(h - 4) = 0

2h + 3 = 0    or h - 4 = 0

2h = -3               h = 4

h = -3/2        or   h = 4        Answer can not be negative so h = 4cm

The base is 2(4) - 5; The base = 8 - 5; base = 3 cm

7 0
2 years ago
1a.) Write an expression that represents the area of a circle with a radius of 7 units? (1 point)
Tresset [83]

Answer:

1. a.) A  = \pi r^{2} where the value of r = 7 units

  b.) A = \pi \times 7^{2}  = \pi \times 49 = 49\pi = 49\times 3.1414 = 153.93 units^2

Step-by-step explanation:

1.) a.) the area of a circle with a radius of 7 units

        is given by Area, A  = \pi r^{2} where the value of r = 7 units

    b)  \therefore   A = \pi \times 7^{2}  = \pi \times 49 = 49\pi = 49\times 3.1414 = 153.93 units^2

     

6 0
3 years ago
Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?
klasskru [66]

Given:

Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).

To find:

The equation of hyperbola.

Solution:

We have, directrices at y = ±2 so this hyparabola is along the y-axis.

The standard form of hyperbola is

\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1      ...(i)

where, (h,k) is center, foci are (h,k\pm c) and directrix are y=k\pm \dfrac{a^2}{c}.

On comparing foci, we get

(h,k\pm c)=(0,\pm 6)

h=0,k=0,c=6

On comparing directrix we get

k\pm \dfrac{a^2}{c}=\pm 2

\dfrac{a^2}{c}=2

\dfrac{a^2}{6}=2

a^2=12

Now,

a^2+b^2=c^2

12+b^2=(6)^2

b^2=36-12

b^2=24

Putting h=0,k=0,a^2=12,b^2=24, we get

\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1

\dfrac{y^2}{12}-\dfrac{x^2}{24}=1

Therefore, the equation of hyperbola is \dfrac{y^2}{12}-\dfrac{x^2}{24}=1.

7 0
3 years ago
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