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My name is Ann [436]
3 years ago
8

What is the midpoint between (5,1) and (-1,4)

Mathematics
1 answer:
QveST [7]3 years ago
6 0

Answer:

2, \frac{5}{2}

Step-by-step explanation:

Given parameters:

     Coordinates  =  (5,1) and (-1,4)

Unknown:

The midpoint = ?

Solution:

 To find the midpoint of these endpoints;

   this can be mathematically expressed as;

  x_{m} , y_{m}  = \frac{x_{1} + x_{2}  }{2}  , \frac{y_{1}+y_{2}  }{2}

  From the given coordinates;

        x₁ = 5                             y₁ = 1

       x₂  =   -1                          y₂ = 4

x_{m} , y_{m} = \frac{5+(-1)}{2}  ,  \frac{1 + 4}{2}   = 2, \frac{5}{2}

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Answer:

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Step-by-step explanation:

3 0
2 years ago
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WHAT IS THE LINE OF BEST FIT FOR THE FOLLOWING DATA (1,3) (2,0) (5,-8) (9, -25) . WRITE YOUR ANSWERS IN THE FORM OF Y= AX+ B​
dimulka [17.4K]

Answer:

3.471 + 7.2516 x

Step-by-step explanation:

Given the data:

(1,3) (2,0) (5,-8) (9, -25) .

X:

1

2

5

9

Y:

3

0

-8

-25

The line of best fit for the data given can be obtained using an online regression calculator :

The equation of best fit for the data is thus;

Best fit equation; y = -3.471 + 7.2516x

Intercept = - 3.471 ;

Slope = 7.2516

5 0
3 years ago
The Social Justice Club is going to rent a mammoth barbeque to cook the hot dogs for the hot dog sale. After contacting three re
artcher [175]

Answer:

(A)Cost of Rental A, C= 15h

 Cost of Rental B, C=5h+50

 Cost of Rental C, C=9h+20

(B)

i. Rental C

ii. Rental A

iii. Rental B

Step-by-step explanation:

Let h be the number of hours for which the barbeque will be rented.

Rental A: $15/h

  • Cost of Rental A, C= 15h

Rental B: $5/h + 50

  •  Cost of Rental B, C=5h+50

Rental C: $9/h + 20

  •  Cost of Rental C, C=9h+20

The graph of the three models is attached below

(b)11.05-4.30

When you keep the barbecue from 11.05 to 4.30 when the football match ends.

Number of Hours = 4.30 -11.05 =4 hours 25 Minutes = 4.42 Hours

  • Cost of Rental A, C= 15h=15(4.42)=$66.30
  •  Cost of Rental B, C=5h+50 =5(4.42)+50=$72.10
  •  Cost of Rental C, C=9h+20=9(4.42)+20=$59.78

Rental C should be chosen as it offers the lowest cost.

(c)11.05-12.30

Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours

  • Cost of Rental A, C= 15h=15(1.42)=$21.30
  •  Cost of Rental B, C=5h+50 =5(4.42)+50=$57.10
  •  Cost of Rental C, C=9h+20=9(4.42)+20=$32.78

Rental A should be chosen as it offers the lowest cost.

(d)If the barbecue is returned the next day, say after 24 hours

  • Cost of Rental A, C= 15h=15(24)=$360
  •  Cost of Rental B, C=5h+50 =5(24)+50=$170
  •  Cost of Rental C, C=9h+20=9(24)+20=$236

Rental B should be chosen as it offers the lowest cost.

7 0
3 years ago
Emily thinks that -11/6 - (-2/3) is -5/2. Identify the error ghat emily made. Then correct Emily’s error and find the correct va
Amanda [17]
\bf \stackrel{\textit{she subtracted }\frac{2}{3}\textit{ instead of adding it}}{-\cfrac{11}{6}-\left(\cfrac{2}{3}  \right)\impliedby \stackrel{LCD}{6}\implies \cfrac{-(1)11~~-~~(2)2}{6}}\implies \cfrac{-11~~-~~4}{6}
\\\\\\
\cfrac{-15}{6}\implies \stackrel{simplified}{-\cfrac{5}{2}}\impliedby \textit{that's correct, assuming is }\frac{2}{3}~~but~is~~-\frac{2}{3}\\\\
-------------------------------

\bf \stackrel{\textit{recall that minus times minus is plus}}{-\cfrac{11}{6}-\left(-\cfrac{2}{3}  \right)\implies -\cfrac{11}{6}+\cfrac{2}{3}}\implies \cfrac{-(1)11+(2)2}{6}
\\\\\\
\cfrac{-11+4}{6}\implies -\cfrac{7}{6}\quad \checkmark
7 0
4 years ago
Two times the sum of a number and two is the same as five less than five times the number. What is the number? In number form wi
9966 [12]

2(2+x)=5x-5

x=3

hope this helps

8 0
3 years ago
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