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Ulleksa [173]
3 years ago
10

Simplify this expression: (-2 - 8x) + (-4x - 10)

Mathematics
2 answers:
nevsk [136]3 years ago
5 0

Answer:

The simplified form of expression<u> </u>(-2 - 8x) + (-4x - 10) is

-12(x + 1)

Step-by-step explanation:

It is given an expression (-2 - 8x) + (-4x - 10)

<u>To find the simplified expression of (-2 - 8x) + (-4x - 10)</u>

Let expression is given by

(-2 - 8x) + (-4x - 10) = -2 - 8x -4x -10

     = -2 -10 -4x -8x

     = -12 -12x

     -12(x + 1)   (since -12 is common in both terms)

Therefore simplified form is  -12(x + 1)

Mkey [24]3 years ago
4 0

Answer:

The answer is -12x - 12

Step-by-step explanation:

-2 - 8x - 4x - 10

= -2 + -8x + -4x + -10

Combine like terms:

-2 + -8x + -4x + -10

(-8x + -4x) + (-2 + -10)

= -12x + -12

= -12x - 12

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Given:

In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).

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The equation that represents a line that contain CD.

Solution:

We have,

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Slope of AB is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{3-0}{0-(-4)}

m=\dfrac{3}{4}

The slope of line AB is \dfrac{3}{4}.

Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.

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Slope of line AB = Slope of line CD = \dfrac{3}{4}

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Slope of line CD is \dfrac{3}{4}, it means the line must be of the form

y=\dfrac{3}{4}x+b

Coefficient of x is \dfrac{3}{4} only in option a.

Therefore, the correct option is a.

7 0
2 years ago
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A flag staff is fixed at one corner of a rectangular room of side 20×10m.The angle of elevation on the top of the flag from oppo
Vedmedyk [2.9K]

Answer:

The height is 12.9m

Step-by-step explanation:

First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

h² = s1² + s2²

h² = 10² + 20²

h² = 100 + 400

h² = 500

h = √500

h = 22.36

Now that we know this measurement we can calculate the height of the flagpole

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 30

a: adjacent  = 22.36

o: opposite  = ?

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, opposite)

is the tangent

tan α = o/a

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tan30 * 22.36 = o

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The height is 12.9m

7 0
3 years ago
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Answer:

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Step-by-step explanation:

-9 z^{2} + 10z - 1 = 0

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Answer:

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