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3 years ago

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]

9514 1404 393

Answer:

7 square units

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.
figure the area from the coordinates of the vertices.
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

Using polygon STUVW what is m angle U ?

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