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Salsk061 [2.6K]
3 years ago
13

if one point is located at (-5,3) and another point is located at (7,-4). find the distance between the points. round to the nea

rest tenth.​
Mathematics
1 answer:
Novay_Z [31]3 years ago
7 0

Answer:

13.9

Step-by-step explanation:

Use the distance formula:

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\d = \sqrt{(7 - (-5))^2 + (-4-3)^2}\\d = \sqrt{(12)^2 + (-7)^2}\\d = \sqrt{144 + 49}\\d = \sqrt{193}\\

The square root of 193 rounded to the nearest tenth is 13.9.

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Find the missing variables pythagorean theorem
worty [1.4K]

Answer:

y = 12     x = 12√2     z  = 12√3

Step-by-step explanation:

The 45° triangle will also have a height of y so....

    y² + y² = x²          2y²  = x²     y² = x²/2       y = √(x²/2)

The 30°  triangle

    y² + z² = 24²                          y² = 24² - z²          y = √(24² - z²)

                               

sin 30 = y/24          1/2 = y/24      y = 12    

          y² = x²/2

         12² = x²/2²

    2(144)  = x²         x = √(288)       x = 12√2  

      y² + z² = 24²

           z² = 24² - y²

           z² = 24² - 12²

           z² = 576 - 144

            z² = 432      

                =  √(16·9·3)

            z  =  4·3√3

            z  = 12√3

     y² + z² = 24²

    12² + (12√3)² = 24²

    144 + 144·3    =   576

     2y²  = x²

     2(12)²  = x²

      288  =  (12√2)  = 144·2  = 288

5 0
3 years ago
What value could be added to 2/15 to make the sum greater than 1/2
DENIUS [597]
6/15 . as 2/15 plus 6/15 is 8/15, which is greater than 1/2
7 0
3 years ago
Read 2 more answers
Larry is buying a new video game that costs $35 plus 7% sales tax. How much will he pay for the video game with tax?
Mandarinka [93]
The answer is 37.45
Explanation:
.07x35=2.45 2.45+35=37.45
6 0
3 years ago
Formulate the situation as a linear programming problem by identifying the variables, the objective function, and the constraint
abruzzese [7]

Answer:

zero goats and 120 Ilamas to get profit of $15,120

Step-by-step explanation:

Goats: G

Ilamas: l

Explicit constraints:

2G + 5l ≤ 400

100G+ 80l≤ 13,200

Implicit constraints

G≥0

I≥0

P= 84G+ 126l

See attachment for optimal area

substituting coordinats of optimal region in profit equation to get profit

When G= 132, l=0

P=84(132) + 126(0)

P=11,088

When G=0, l=120

P=84(0)+ 126(120)

P = 15120

When G= 100, l=40

P=84(100)+126(40)

P=13440

3 0
3 years ago
Help me please please
harina [27]

Answer:

a)

  • EH = \sqrt{HG^2+EG^2} = \sqrt{4^2+6^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}

b)

  • EG² = GH*GF
  • EG² = 4*12
  • EG² = 48
  • EG = √48 = 4√3
3 0
3 years ago
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