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Alisiya [41]
3 years ago
6

To find the distance between (17,3) and (17,−5), Marcia used the following equation. Is Marcia correct? Explain. D=|3−(−5)|=8

Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

Step-by-step explanation:

The formula for finding the distance between two points is expressed as shown

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate (17,3) and (17,−5), from the coordinates x₁ = 17, y₁ = 3, x₂ = 17 and y₂ = -5.Substituting the values given into the formula;

D = √(17-17)²+(-5-3)²

D = √0²+(-8)²

D = √64

D = 8

According to the result gotten, it can concluded that Marcia is correct although she didn't use the right expression to calculate her distance. She should have taken the square root of the sum of the square of difference in the coordinates axis according to the formula used.

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-3x-y=-17 4x + 2 y equals 20
ExtremeBDS [4]
-3x - y = -17
4x + 2y = 20

multiply one part of the equation so that we can be able to use the process of elimination.

(-3x - y = -17)2
4x + 2y = 20

Now we have:

-6x -2y = - 34
4x+2y= 20
------------------------
-2x = -14

Divide -2 on both sides.

-2x = -14
/-2       /-2

x = -7.


=============================================

To solve for y, we just have to substitute the value of x to any of the equation given above, that we feel comfortable with. And I'm going to choose this equation: 4x + 2y = 20


4x + 2y = 20

4(-7) + 2y = 20

-28 + 2y = 20

Add 28 on both sides

-28 + 2y = 20
+28          +28
---------------------
2y = 48
/2      /2

y = 24.


The last thing you would do is to check if the answers is correct.
All you have to do is plug in the values of x and y into both equations and see if they equal to one another.

You may have to do this by yourself :P

Anyways, if you have any questions about this topic, feel free to PM me or any other users interested. Thank you for being part of Brainly! Have a nice day!










4 0
3 years ago
nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by t
tankabanditka [31]

Answer:

Step-by-step explanation:

Answer:

48.49 feet

Step-by-step explanation:

The diagrammatic sketch of the details given in the question was attached in the picture below.

From the picture below, the distance between the two kites is represented by (c) and can be calculated by using the cosine angle rule which is illustrated as:

c^2 = a^2 + b^2 -2ab cos \ C

where;

a = 110

b = 104

Cos C = 26°

Then;

c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\  c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\  c^2 = 22916- 20564.544 \\ \\  c^2 = 2351.456 \\ \\  c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}

8 0
3 years ago
A scale on a map shows that 2.52.52, point, 5 centimeters represents 151515 kilometers.
Dmitry_Shevchenko [17]

Answer:

  105 km

Step-by-step explanation:

Written as a proportion, the ratio of km to cm will be the same for both distances:

  (x km)/(17.5 cm) = (15 km)/(2.5 cm)

  x km = (15 km)(17.5/2.5) = 105 km

105 actual kilometers are represented by 17.5 cm on the map.

5 0
3 years ago
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sukhopar [10]
They live 9 3/4 blocks away from eachother
7 0
3 years ago
Read 2 more answers
Help test due tonight!! *no links please *
Stella [2.4K]

Answer:

Add one to all the x and subtract 4 to all the y values

Step-by-step explanation:

(1,4)= (2,0)

(-4,2)=(-3,-2)

(4,-3)=(5,-7)

8 0
3 years ago
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