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Katarina [22]
2 years ago
9

Perpendicular to the line x - 5y = 9; containing the point (2, 4)

Mathematics
1 answer:
dezoksy [38]2 years ago
6 0

Answer:

y=-5x+14

Step-by-step explanation:

x-5y=9

x-9=5y

y=\frac{1}{5}x-\frac{9}{5}

The slope for this line is: 1/5

The product of the slopes of any two perpendicular lines equals -1.

So the slope for the perpendicular line will be -5.

The point-slope formula=

Given slope m and a point on the line: (X, Y), the equation of the line will be:

y-Y=m(x-X)

So the equation for the perpendicular should be:

y-4=(-5)(x-2)

Simplify:

y-4=-5x+10

y=-5x+14

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Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
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The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.

He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

d = 4.22618261741

d = 4.2 ft

She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

cos 65 = d / 9.6

d = 9.6 × 0.42261826174

d = 4.05696

d = 4.1

Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: brainly.com/question/14988069

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2 years ago
Ms. Hanuanaer helped students prepare juice. The recipe was 320 ounces of cranberry juice, 320 ounces of sprite, and a splash of
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3 years ago
Someone please help, is due tonight, will give brainly if helped. Thank you...
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Answer:

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2. h & a,   g & b

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

Volume = Length * Width * Height

Substitute values for Length, Width and Height

Volume = 17.7cm * 8.3cm * 13.0cm

Volume = 1909.83cm^3

The density is:

Density = \frac{Mass}{Volume}

Density = \frac{2090g}{1909.83cm^3}

Density = 1.094g/cm^3<em> --- approximated</em>

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