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3 years ago

write an equation of a line passing thru the point (-4,-11) and perpendicular to the line 4x+5y= -45

Mathematics

1 answer:

GrogVix [38]3 years ago

3 0

Answer:

y = 5/4x - 6

Step-by-step explanation:

First, put 4x + 5y= -45 in y = mx + b form

4x + 5y= -45

5y = -4x - 45

y = -4/5x - 9

So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4

To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

-11 = 5/4(-4) + b

-11 = -5 + b

-6 = b

Plug in b and the slope into y = mx + b

y = 5/4x - 6

So, the equation is y = 5/4x - 6

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4 years ago

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3 years ago

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A new Youth Activity Center is being built in Hadleyville. The perimeter of the rectangular playing field is 442 yards. The leng

MissTica

Answer:

45 yards and 176 yards

Step-by-step explanation:

Perimeter of a rectangular playing field = 2(Length + width)

P = 2(L+W)..................... Equation 1

From the question,

Let the width of the rectangular playing field = x yards,

The the Length = 4x-4 yards.

Given: P = 442 yards.

Substitute these values into equation 1

442 = 2(4x-4+x)

442/2 = 5x-4

221 = 5x-4

5x = 221+4

5x = 225

x = 225/5

x = 45 yards.

Width = 45 yards.

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3 years ago

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Temka [501]

Answer:

A C(x) =2x³+2x²-18x-11

Step-by-step explanation:

C(x) = W(x) - D(x)

plug W(x) and D(x) into equation

C(x) = 3x³+4x²-18x+4 - (x³+2x²+15)

add like terms now

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3 years ago

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Beth has dimes and quarters worth $3.70. if there are 19 coins in all, how many quarters does she have

myrzilka [38]

You can set this up as a system of equations.

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4 0

3 years ago

write an equation of a line passing thru the point (-4,-11) and perpendicular to the line 4x+5y= -45​

write an equation of a line passing thru the point (-4,-11) and perpendicular to the line 4x+5y= -45