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d1i1m1o1n [39]
3 years ago
9

the coordinates of the vertices of triangle ABC are A (1,-1),B (1,4), and C (8,4). what is the length in units of the line segme

nt that connects vertex A and vertex B
Mathematics
2 answers:
strojnjashka [21]3 years ago
5 0

ab=

\sqrt{ (x1 - x2} ) ^{2}    +  (  y1 - y2 ) ^{2}

\sqrt{0 - 25}

5 unit is length

.

Bas_tet [7]3 years ago
3 0

Answer:

AB = 5 units

Step-by-step explanation:

Given that:

  • A (1,-1) <=> x1=1 and y1=-1
  • B (1,4), <=> x2 = 1 and y2=4
  • C (8,4).

So the the length in units of the line segment that connects vertex A and vertex B is the length of line AB. So we have the following formula:

AB = \sqrt{(x2-x1)^{2} + (y2-y1)^{2} }

<=> AB = \sqrt{(1-1)^{2} +(4-(-1))^{2}  }

<=> AB = 5 units

Hope it will find you well.

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How do you solve this help​
vfiekz [6]

Answer:

arc PST = 254°

Step-by-step explanation:

arc QPT = 180° because it is a diameter

arc PQ = 74°

arc PT = 180° - 74° = 106°

arc PST = 360° - 106° = 254°

5 0
3 years ago
The sum of two numbers is twenty-four. The difference of the two numbers is four.
RSB [31]

Answer:

x + y = 24

x - y = 4

Now, add these two equations.

You get,

2x = 28

x =  \frac{28}{2}

x = 14

Given,

x + y = 24

14 + y = 24

y = 24 - 14

y = 10

You can test this to the other equation as well.

x - y = 4

14 - 10 = 4

Hence, the two numbers are 14 and 10.

3 0
3 years ago
Bob decided to go to college, the cost of going to school will be $4,474 per semester, (there are 2 semesters per year) plus $38
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

1 semester = 4474

8 semester = 8* 4474                    35792

1 semester books = 389

8 semester books = 8* 389            <u> 3112 </u>

Total                                                38904  

If he is going to pay this off in 10 years, he would have to have an increase of 3890.40 (after all income taxes) to pay it off. Fewer years would mean dividing by the number of years.

So for 8 years for example, he would need 4863 every year.

That number is obtained by dividing 38904 / 8

In 6 years he would need

38904/6 = 6484 extra dollars.        

5 0
3 years ago
Explain how to answer the question attached
LenaWriter [7]

Answer:

The players ran 150 meters

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:

90² + 120² = c²

8100 + 14400 = c²

c² = 22500

√c² =  √22500

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3 0
3 years ago
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The cost of 15 orange is Rs 75. How much price of 12 oranges​
stira [4]

1. The price of 3 metres of cloth is Rs 79.50. Find the price of 15 metres of such cloth. Solution: It is given that. Price of 3 m of cloth = Rs 79.50. We get. Price of 1 m of cloth = 79.50/3 = Rs 26.5. So the price of 15 m of cloth = 26.5 (15) = Rs 397.50. Hence, the price of 15 m of such cloth is Rs 397.50. 2. The cost of 17 chairs is Rs 9605.

Estimated Reading Time: 4 mins

4 0
2 years ago
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