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Nuetrik [128]
2 years ago
14

What is the equation, in slope-intercept form, for the line that passes through the point (2, −3) and is perpendicular to the li

ne represented by y  =  25x + 4   ?​
Mathematics
1 answer:
diamong [38]2 years ago
6 0

Answer:

The equation is;

y = (-x-23)/25

Step-by-step explanation:

The equation of a straight line can be given as y = mx + b

where m is the slope and b is the y-intercept

for y = 25x + 4

m is 25

Now, we need the slope of a line perpendicular to this,

If two lines are perpendicular, the result of the product of their slopes is -1

m1 * m2 = -1

25 * m2 = -1

m2 = -1/25

Mathematically, we have the slope in the point slope form as ;

y+3 = -1/25 (x - 2)

y = -x/25 + 2/25

y = -x/25 + 2/25 - 3

y = -x/25 -73/25

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Answer:

They are equivalent

Step-by-step explanation:

x/4 multiplied by y/y equals to xy/4y. Therefore, they are equivalent

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7 0
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A walking path across a park is represented by the equation y = -3x - 6. A
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5 0
2 years ago
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a ra
n200080 [17]

Answer:

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.

Step-by-step explanation:

Area of rectangle = Height x Width

A = hw

The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.

\texttt{Rate of change of height = }\frac{dh}{dt}=3cm/hr\\\\\texttt{Rate of change of width = }\frac{dw}{dt}=-4cm/hr

Differentiating area with respect to time,

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We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.

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Rate of change of the area of the rectangle at that instant = 7 cm²/hr.

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