MATHEMATICS HIGH SCHOOL

What is the distance between the points (2, 5) and (5, 7)?

Answers

Answer 1
Answer:

Answer: √(13)\text{ units}

Step-by-step explanation:

The distance formula to calculate distance between two points (a,b) and (c,d) is given by :-

d=√((d-b)^2+(c-a)^2)

Now, the distance between(2, 5) and (5, 7) is given by :-

d=√((7-5)^2+(5-2)^2)\n\n\Rightarrow\ d=√((2)^2+(3)^2)\n\n\Rightarrow\ d=√(13)\text{ units}

Hence, the distance between the points (2, 5) and (5, 7)=√(10)\text{ units}
Answer 2
Answer: What is the distance between the points (2, 5) and (5, 7)?

(3, 2)

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Lines that are parallel have the same slope or else no slope.

Answers

this is true, if that's what your looking for. because theyre parallel they have to same slope. 

What would a box and whisker plot look like for this? Find the five-number summary and draw a box-and-whisker plot for the data set.
84, 89, 93, 97, 91, 62, 58, 104, 91, 73, 101, 71, 98
(I have the 5 number summary)
min-58
max-104
Median-91
1st Q-72
2nd Q-97.5

Answers

58, 62, 71, 73, 84, 89, 91, 91, 93, 97, 98, 101,104

Five number summary:
1) minimum = 58
2) 1st quartile = 72
3) median = 91
4) 3rd quartile = 98
5) maximum = 104
              __________
    --------|        |         |------------                     
  58      72     91      98           104                                                                                      

11 5 over 8 into an improper fraction

Answers

11 5/8 as a improper fraction 

1) Simplify Fraction 
⇒ Multiply denominator with whole number
8 x 11 = 88

⇒ Answer of multiplication and add the numerator 
88 + 5 = 93 

93/8 is improper Fraction. 
The fraction cant be simplified 
11 5/8 
11 x 8 = 88 We multiply the whole number by the denominator 
88 + 5 = 93 We take the answer (88) and add that to 5, which equals 93.
The denominator stays the same, so you just place the 93 over 8
A= 93/8 

Divide. (12t^6 - 8t^8) / (2t^3)A.
6t^3 - 8t^8

B.
12t^6 - 4t^5

C.
6t^2 - 8t^4

D.
6t^3 - 4t^5

Answers

(12t^6-8t^8) ÷ (2t^3)

= (6t^3-4t^5)

so the answer is (D)

Find 2 integers whose product is -20

Answers

-2 * 10 or -10 * 2 could be an answer yeah?

What’s #10 I need it worked out not just the answer.

Answers

No, you can clearly see that angle4 is an obtuse angle while angle2 is more of a right angle. Since 3 and 5 are vertical angles means that 180-angle3=angle4 BUT 180-angle3=angle2 AND angle 1. So they are not vertical angles.

Vertical angles are pairs of each other.
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