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2 years ago

What is the slope of a line that is perpendicular to 6x + 3y = –9?

2 answers:

4 0

6x + 3y = -9
3y = -6x - 9
y = -2x - 4.5

slope (m1) of this line is -2

slope of the perpendicular line,
m2 = - (1/m1)
m2 = - (1 / -2)
m2 = 1/2

nekit [7.7K]2 years ago

3 0

6 x + 3 y = -9
3 y = - 6 x - 9 / : 3 ( divide both sides by 3 )
y = - 2 x - 3
m 1 = -2
Slope of the perpendicular line:
m 2 = - 1 / ( - 2 )
m 2 = 0.5

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George would like to build a garden this year, George measure out his proposed garden and would like to know how many square fee

Blababa [14]

Answer:

The area is 105.5ft^2

Step-by-step explanation:

Required

The area of the composite figure

The figure can be divided to 2 shapes

(1) Rectangle: Length = 6ft and Width = 8ft

(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)

The area of the rectangle is:

$Area = 6 * 8 = 48$

The area of the trapezoid is:

$Area = \frac{1}{2}(9 + 14) * 5$

$Area = \frac{1}{2}(23) * 5$

$Area = 11.5 * 5$

$Area = 57.5$

So, the area of the garden is:

$Total = 48 + 57.5$

$Total = 105.5$

5 0

3 years ago

A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55

Brrunno [24]

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

$\frac{sin A}{a} = \frac{sin B}{b}$

$\frac{sin 55}{a} = \frac{sin 62.5}{150}$

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

a = $\frac{ 122.8728066}{sin(62.5)}$

a= 138.52 feet

To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet

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3 years ago

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VashaNatasha [74]

First you need to find out how long she worked

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3 years ago

A sphere with a radius of 10 centimeters is inscribed in a right cylinder. What is the volume of the right cylinder in terms of

ruslelena [56]

Well, that means that the sides and top are toutching the sphere

radius of sphere=10 so radius of cylinder=10
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answer is D

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3 years ago

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3 years ago