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pantera1 [17]
2 years ago
13

The equation for line A is given by y= -3/4x-2. Suppose line A is parallel to line B, and line T is perpendicular to line A. Poi

nt (2,5) lies on both line B and line T. What is the equation for line B?
Mathematics
1 answer:
navik [9.2K]2 years ago
3 0

Answer:

y=4/3x+19/3

Step-by-step explanation:

perpendicular = slope is the negative reciprical.

plug in the point (-4,1) for (x,y)

1(y)=4/3(-4)+b

1=-16/3+b

b=19/3

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Circle O has a circumference of 36tt cm. what is length of the radius r
allochka39001 [22]

Answer:

5.73cm

Step-by-step explanation:

Given parameters:

Circumference of the circle = 36cm

Unknown

Length of the radius = ?

Lets represent the radius by r

Solution

The circumference of a circle is the defined as the perimeter of a circle. The formula is given as:

            Circumference of a circle = 2πr

Since the unknown is r, we make it the subject of the formula:

           r = \frac{circumference of the circle}{2π}

          r = \frac{36}{2 x 3.142} = \frac{36}{6.284} = 5.73cm

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2 years ago
Write an equation for the line that passes through (4,-6) and (-7,-6). Is the line parallel or perpendicular to the y-axis?
alisha [4.7K]

Answer:

y = -6, perpendicular

Step-by-step explanation:

You can use the points to find the slope of the line:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{-6-(-6)}{-7-4} =\frac{-6+6}{-7-4}=\frac{0}{-11}=0

Then, using point-slope form, choose one set of coordinates to use for y1 and x1:

y-y_{1}=m(x-x_{1})

y-(-6)=0(x-4)

y+6=0

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Since the slope of the line is zero, it's a horizontal line. The y-axis is a vertical line, which means that the line is perpendicular to the y-axis.

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3 years ago
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alina1380 [7]

Answer:

(4,5)

Step-by-step explanation:

Initial location of Joshua in the shopping mall is expressed according to the coordinate (12, -5)

If he undergoes a translation of 8 steps to the left and 10 steps upwards, this means that he moves 8 steps towards the negative x axis and 10 steps towards the positive y axis. The new coordinate will be gotten by adding the translation (-8, 10) to the initial coordinate as shown

New position = (12, -5) + (-8,10)

New position = (12-8, -5+10)

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Hence the coordinates that corresponds to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards will be (4,5)

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