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3 years ago

Use the number line below, where RS = 7y +5. ST = 3y +5, and RT = 70. a. What is the value of y?

Mathematics

1 answer:

NeTakaya3 years ago

8 0

Answer:

Step-by-step explanation:

7y+5+3y+5=70

10y+10=70

10y=60

y=6

7(6)+5= 42+5= 47

3(6)+5= 18 + 5 =23

47+23= 70

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Using the Breadth-First Search Algorithm, determine the minimum number of edges that it would require to reach

jekas [21]

Answer:

The algorithm is given below.

#include <iostream>

#include <vector>

#include <utility>

#include <algorithm>

using namespace std;

const int MAX = 1e4 + 5;

int id[MAX], nodes, edges;

pair <long long, pair<int, int> > p[MAX];

void initialize()

{

for(int i = 0;i < MAX;++i)

id[i] = i;

}

int root(int x)

{

while(id[x] != x)

{

id[x] = id[id[x]];

x = id[x];

}

return x;

}

void union1(int x, int y)

{

int p = root(x);

int q = root(y);

id[p] = id[q];

}

long long kruskal(pair<long long, pair<int, int> > p[])

{

int x, y;

long long cost, minimumCost = 0;

for(int i = 0;i < edges;++i)

{

// Selecting edges one by one in increasing order from the beginning

x = p[i].second.first;

y = p[i].second.second;

cost = p[i].first;

// Check if the selected edge is creating a cycle or not

if(root(x) != root(y))

{

minimumCost += cost;

union1(x, y);

}

return minimumCost;

}

int main()

{

int x, y;

long long weight, cost, minimumCost;

initialize();

cin >> nodes >> edges;

for(int i = 0;i < edges;++i)

{

cin >> x >> y >> weight;

p[i] = make_pair(weight, make_pair(x, y));

}

// Sort the edges in the ascending order

sort(p, p + edges);

minimumCost = kruskal(p);

cout << minimumCost << endl;

return 0;

}

8 0

3 years ago

How many kilometres on the ground is represented by 9 cm on the map?

Aloiza [94]

Answer:

22500

Step-by-step explanation:

You have to multiply 9 by 25000.

3 0

2 years ago

Colin invest in £5000 into his bank account. He receives 10% per year simple interest. How much will Colin have after 3 years?

pav-90 [236]

Answer:

£6655

Step-by-step explanation:

Given data

Principal= £5000

Rate= 10%

Time = 3 years

FInal Amount A=???

The expression for the compound interest is given as

A=P(1+r)^t

substitute

A=5000(1+0.1)^3

A=5000(1.1)^3

A=5000*1.331

A= £6655

Hence the final Amount is £6655

5 0

3 years ago

Find the exact value of cot 7pi/4 & sec13pi/6 including quadrant location

Gennadij [26K]

First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First, $\frac{7 \pi }{4} * \frac{180}{ \pi }=315$ . If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that $\frac{13 \pi }{6} * \frac{180}{ \pi } =390$ . Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.

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3 years ago

Which of the following best describes the relationship between (x + 1) and the polynomial x2 - x - 2?

Viefleur [7K]

Answer:

Step-by-step explanation:

to factor x² - x - 2

consider the factors of the constant term which sum to give the coefficient of the x-term.

the factors are - 2 and + 1 since - 2 × 1 = - 2 and - 2 + 1 = - 1

x² - x - 2 = (x - 2)(x + 1), hence (x + 1) is a factor

3 0

3 years ago

Read 2 more answers