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lozanna [386]
3 years ago
8

Find the distance between (4,8) and (-5,3) without plotting the points.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

Distance =  \sqrt{ {(4 + 5)}^{2}  +  {(8 - 3)}^{2} }

Distance =  \sqrt{ {9}^{2} +  {5}^{2}  }

Distance =  \sqrt{81 + 25}

Distance =  \sqrt{106}

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One number added to twice another number is 13. Four times the first
Karo-lina-s [1.5K]
Let's call the first number x, and the second number y. Putting what you have said into equation form:

x+2y=13
\\\\4x+2y=-2


Subtracting one equation from another gives:

x+2y=13 \\-(4x+2y=-2)

\\\\-3x=15
\\x=-5

If x = -5,

x+2y=13
\\(-5)+2y=13
\\2y=18
\\y=9

So the first number is -2, the second number is 9
6 0
4 years ago
How long would it take you to reach 100 for the number of times you did your activity from this graph?
IceJOKER [234]

Answer:

33 1/3 minutes

Step-by-step explanation:

I note x- number of sentences

          y=time

when  x=3, y=1

          x=6, y= 2

           I observe that for every 3 sentences I have one more minute ( y increases by 1)  so y= x/3

when x=99 i have y=99/3=33 minutes

          for x= 100 I have y=100/3minutes= 33  1/3 minutes

5 0
3 years ago
What property would you use for this 4x+2(x-3)=4x+2x-11(I solved it but can't remember the name) It has no solution.
vivado [14]

Step-by-step explanation:

I think the property I would use is a reflective property

3 0
3 years ago
. If QS bisects angle PQR, m angle PQS = (7x - 6)° , and m angle SQR = (4x + 15)° , find m angle PQT. ​
Paul [167]

Answer:

94

Step-by-step explanation:

PQS = (7x - 6)°

SQR = (4x + 15)° since QS bisect PQR these two expressions must be equal

so

7x - 6 = 4x + 15 transfer like terms to the same side of the equation

7x - 4x = 15 + 6

3x = 21 divide both sides by 3

x = 7

also the sum of these two would give us the measure of PQR

7x + 4x + 15 - 6 = PQR

11x + 9 = PQR replace x with 7

11*7 + 9 = 86 this is the measure of angle PQR and also supplementary to PQT so the measure of PQT = 180 - 86

4 0
3 years ago
Find the the solution of this system of equations -7x-6y=59 -8x-6y=58
serg [7]
Hello : 
<span> -7x-6y=59...(1)
 -8x-6y=58...(2) 
(1)-(2) : x = 1 
subsct in (1) 
-7-6y = 59
6y =-66
y = -11

</span>
6 0
3 years ago
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