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maksim [4K]
3 years ago
15

6x + 3 (2x) - 7 - 2³ Please include th steps to solving it.

Mathematics
2 answers:
jeyben [28]3 years ago
7 0

Answer:

12x - 15

Step-by-step explanation:

so you would have to do the order of operations. so your exponent would be first. so 2×2×2=8.

6x + 3 (2x) -7 + 8

Now you can look at your parentacese which is (2x) so you need to do 3(2x) which gets you 6x.

6x + 6x -7 + 8

So you need to combine like terms.

so starting with the x

6x + 6x = 12x

Now your equation looks like this

12x + -7 +8

now you need to add like terms. (numbers)

-7 -8

so your answer is

12x -15

Alchen [17]3 years ago
4 0

Answer:

24x-15

Step-by-step explanation:

Let's do this together with a step-by-step explanation!

First we need to make sure we remember that there are appropriate ways on how to solve these. LIKE PEMDAS.

6x + 3 (2x) - 7 - 2³

Let's multiply the 3 and 2x together.

6x + 6x - 7 - 2³

Now let's do the exponent

6x + 6x - 7 - 8

Now let's add everything together! But remember only common variables can be added together.

24x - 15 is the answer.

You can no longer break anything down.

I really hope this helped you!

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Step-by-step explanation:

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3 years ago
What is the area of the triangle?
ArbitrLikvidat [17]

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Step-by-step explanation:

There are several ways the area of triangle EBD can be found.

  • find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
  • define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
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  • use Pick's theorem and count the dots.

We choose the latter.

__

Pick's theorem says the area of a polygon can be found as ...

  A = i + b/2 -1

where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.

The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...

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4 0
3 years ago
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bija089 [108]

Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\

To find :

\angle U = x = ?

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180

Here we have n = 5 on substituting the values we get

\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72

Therefore,

m∠ U is 72°.

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3 years ago
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