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Step2247 [10]
3 years ago
8

Write an equation that represents the line (use exact numbers

Mathematics
2 answers:
weeeeeb [17]3 years ago
4 0

Answer:

(0,2) and (3,-1)

Step-by-step explanation:

Vesnalui [34]3 years ago
3 0

Answer:

Step-by-step explanation:

(0,2) ; (3 , -2)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

         = \frac{-2-2}{3-0}\\\\= \frac{-4}{3}\\\\

m = (-4)/3 ; (0 , 2)

y -y1 =m(x -x1)

y - 2 = \frac{-4}{3}(x-0)\\\\y -2 = \frac{-4}{3}*x\\\\   y = \frac{-4}{3}x + 2

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Write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5)
stiv31 [10]

9514 1404 393

Answer:

  2x +y = -2

Step-by-step explanation:

The bisector must have a slope that is the negative reciprocal of the slope of the line between these points. It must pass through the midpoint of the segment.

The slope of the line through the given points is ...

  m = (y2 -y1)/(x2 -x1)

  = (5 -(-1))/(4 -(-8)) = 6/12 = 1/2

The slope of the required bisector is then ...

  m = -1/(1/2) = -2

__

The midpoint of the given segment is ...

  ((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)

__

Then the point-slope form of the equation of the bisector is ...

  y -y1 = m(x -x1)

  y -2 = -2(x -(-2))

  y = -2x -4 +2

  y = -2x -2 . . . . . . . slope-intercept form equation

  2x +y = -2 . . . . . . . standard form equation

6 0
3 years ago
Is 0.42 a rational number? Explain how you know.
kvasek [131]

Answer:

Yes, any number that can be written as a fraction is a rational number.

Step-by-step explanation:

7 0
3 years ago
2. Elena finds that the area of a house on a scale drawing is 25 square inches. The
likoan [24]

Answer:

The scale of the drawing is \frac{1}{9}\ \frac{in}{ft}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of an house on a scale drawing in square inches

y ---> the actual area of the house in square feet

z^2=\frac{x}{y}

we have

x=25\ in^2

y=2,025\ ft^2

substitute

z^2=\frac{25}{2,025}

simplify

z^2=\frac{1}{81}

square root both sides

z=\frac{1}{9}\ \frac{in}{ft}

therefore

The scale of the drawing is \frac{1}{9}\ \frac{in}{ft}

3 0
4 years ago
Read 2 more answers
Question 1
xeze [42]

Step-by-step explanation:

Graphs of Exponential Functions

The graph passes through the point (0,1)

The domain is all real numbers.

The range is y>0.

The graph is increasing.

The graph is asymptotic to the x-axis as x approaches negative infinity.

The graph increases without bound as x approaches positive infinity.

The graph is continuous.

6 0
3 years ago
Read 2 more answers
Hello i need help.....​
raketka [301]
Ok, so the the answer is 1d + 2g.
Hope this helps :)
4 0
3 years ago
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