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vesna_86 [32]
3 years ago
13

Find EF given E(-7, -2) and F(11, 3). Round your answer to the nearest thousandth (3 decimal places).

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

Answer:

18.682

Step-by-step explanation:

Given that :

E = (-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

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Help! What si the verbal expression for this algebraic expression: 2x - 4 < 4x +8
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Answer:

C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Converting expressions to word form

Step-by-step explanation:

<u>Step 1: Define</u>

2x - 4 < 4x + 8

<u>Step 2: Translate</u>

"2x" is the product of two and a number <em>x</em>

" - 4" is four less

"<" is less than

"4x" is the product of four and a number <em>x</em>

" + 8" is increased by 8

<u>Step 3: Combine</u>

The difference between the product of two and a number <em>x</em> and 4 is less than the sum of the product of four and a number <em>x</em> and 8.

<u>Step 4: Reword</u>

Four less than the product of two and a number is less than the product of four and the same number increased by eight.

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Answer:

Step-by-step explanation:

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3 years ago
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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

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