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3 years ago

If -3/x = x/-27 , What is the positive value of x

Mathematics

1 answer:

otez555 [7]3 years ago

6 0

Answer:

-3=x^2/-27

x^2=(-3)(-27)

x=9 or x=-9

Step-by-step explanation:

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What are the solutions to the quadratic equation x^2=7x+4

blondinia [14]

Answer:

x = 7/2 ±sqrt(65)/ 2

Step-by-step explanation:

x^2=7x+4

Subtract 7x from each side

x^2-7x=7x-7x+4

x^2 -7x =4

Complete the square

Take the coefficient of x and divide by 2

-7/2

Then square it

(-7/2)^2 = 49/4

Add this to each side

x^2 -7x +49/4 =4+49/4

(x-7/2)^2 = 4 +49/4

(x-7/2)^2 = 16/4 +49/4

(x-7/2)^2 =65/4

Take the square root of each side

sqrt((x-7/2)^2) =±sqrt(65/4)

x-7/2 = ±sqrt(65)/ sqrt(4)

x-7/2 = ±sqrt(65)/ 2

Add 7/2 to each side

x-7/2 +7/2=7/2 ±sqrt(65)/ 2

x = 7/2 ±sqrt(65)/ 2

5 0

3 years ago

What is the slope of the line that passes through the points (-10, 4) and (-10, 8)?

andrey2020 [161]

Answer:

The slope of the line is un-defined

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are ( -10 , 4) and (-10 ,8)

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$m = \frac{8-4 }{-10-(-10}) = \frac{4}{-10+10} = \frac{4}{0}$

m = ∞

The slope of the line is un-defined

4 0

3 years ago

zlopas [31]

Answer:

1. Capacity of the box in Litres: 7.917L≈8L

2. Volume of wood used in making the box: 1197cm^3

3. The mass of the box: 1496.25g/cm^3

Step-by-step explanation:

1. 29×21×13=7917cm^3

7917cm^3 → 7.917dm^3→7.917L≈8L

2. Outside Volume: 29×21×13=7917cm^3

Inside Volume: 28×20×13=6720cm^3

7917-6720=1197cm^3

3. 1197×1.25=1496.25g/cm^3

6 0

3 years ago

A straight road makes an angle of 15 degrees with the horizontal. When the angle of elevation of the sun is 57 degrees, a vertic

Vilka [71]

The length of the pole is 19.15 feet.

<h3>What is the angle of elevation?</h3>

The angle of elevation is the angle created when an observer looks at an object placed above its height in relation to the eye level or the horizontal line. An angle of elevation is, for example, the angle created between the line of sight and the horizontal line when a man on Earth observes the Sun.

Given:

Angle made by straight road = 15°

Angle of elevation of the sun = 57°

Length of the shadow = 75 feet

∠ACB = 90° - 57° = 33°

∠CAB = 57° - 15° = 42°

Using Sine Law to find BC i.e.length of the pole.

$\frac{BC}{sin A} = \frac{AB}{sin C}$