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3 years ago

-4x+14+20x=2(10x-3) not sure how to tackle this

1 answer:

katrin2010 [14]3 years ago

8 0

That's a big one. Take it step by step.

-4x+14+20x= 2(10x-3)

Combine like terms.

16x+14= 20x-6

Add 6 on both sides.

16x+20=20x

Subtract 16x on both sides

20=4x

Divide by 4 into both sides.

x=5

Consider it tackled. Kaikers out.

I hope this helps!

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Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

Use the distributive property to remove the parentheses. -8(-v^[2]-3+6x^[3])

Kruka [31]

Answer:

8v^2+24-48x^3

Distribute the -8 to each term to get your answer.

Hope I helped!

6 0

3 years ago

3. What is the scale factor of Figure B to Figure A?

xxMikexx [17]

Answer:

2.5

Step-by-step explanation:

From the diagram, figure B was enlarged to obtain figure A.

The two figures are therefore similar.

The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.

It is given by:

$k = \frac{image \: length}{corresponding\:object \: length}$

Figure B is the image of A

$k = \frac{10}{4} = \frac{25}{10} = \frac{21.5}{8.6} = 2.5$

Therefore the scale factor is 2.5

4 0

3 years ago

A new cell phone cost $85, and the sales tax is 9%. What is the amount of the sales tax

elixir [45]

The sales tax is $7.67

In total, with the sales tax, the phone would be $92.65

4 0

3 years ago

Two angles of a parallelogram measures 57 degrees. What is the measure of other two angles?

nignag [31]

Answer:

123

Step-by-step explanation:

In a parallelogram, both pairs of opposite angles are congruent. Also, both pairs of opposite sides are parallel, meaning there are consecutive interior angles. Consecutive interior angles equal 180, so simply subtract 57 from 180 to find your missing angles.

4 0

3 years ago