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2 years ago

Determine the length of the segment with endpoints C(1, 4) and D(11, 28).

Mathematics

1 answer:

Westkost [7]2 years ago

4 0

Answer:

26 units

Step-by-step explanation:

Given:

C(1, 4) and D(11, 28),

Required:

Length of segment CD

SOLUTION:

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , to find the distance between endpoints C and D.

Let,

$C(1, 4) = (x_1, y_1)$

$D(11, 28) = (x_2, y_2)$

$CD = \sqrt{(11 - 1)^2 + (28 - 4)^2}$

$CD = \sqrt{(10)^2 + (24)^2}$

$CD = \sqrt{100 + 576} = \sqrt{676}$

$CD = 26$

Length of segment CD = 26 units

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vovikov84 [41]

Answer:

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Step-by-step explanation:

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2 years ago

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nataly862011 [7]

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5 0

2 years ago

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Answer:

A, C

Step-by-step explanation:

The attached graph shows which lines go through the given point. They are ...

y = 1/2x -1 . . . . 1st selection

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6 0

2 years ago

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3 years ago

What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4

bija089 [108]

Answer:

$(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)$

Step by step explanation:

$y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2$

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3 0

1 year ago