What is the sum of all the angles that are labeled?

28v^3+16v^2-21v-12 factor by group please

Mariana [72]

<h2> The factor of $28v^3+16v^2-21v-12$ = $(7v+4)(2v+\sqrt{3})(2v+\sqrt{3})$ or $(7v+4)(4v^2-3)$ </h2>

Step-by-step explanation:

The given equation:

$28v^3+16v^2-21v-12$

To find, the factors of $28v^3+16v^2-21v-12$ = ?

∴ $28v^3+16v^2-21v-12$

$=(4\times 7)v^3+(4\times 4)v^2-(3\times 7)v-(3\times 4)$

= $4v^2(7v+4)-3(7v+4)$

= $(7v+4)(4v^2-3)$

= $(7v+4)[(2v)^2-\sqrt{3}^2]$

Using the algebraic identity,

$a^{2}-b^{2}=(a+b)(a-b)$

= $(7v+4)(2v+\sqrt{3})(2v+\sqrt{3})$

∴ The factor of $28v^3+16v^2-21v-12$ = $(7v+4)(2v+\sqrt{3})(2v+\sqrt{3})$ or $(7v+4)(4v^2-3)$

7 0

3 years ago

Does this graph show a function? Explain how you know.

uranmaximum [27]

Answer:

it's C.

Step-by-step explanation:

hope this helps you out

5 0

3 years ago

If right I’ll mark brainiest if u have questions put it in the comments

Vika [28.1K]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Consider this equation:

aleksandrvk [35]

Answer:

Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
Steps: add 4 to both sides; collect terms; divide both sides by 3.

Step-by-step explanation:

The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.

Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...

add 4 to both sides of the equation
collect terms
divide by the coefficient of the variable (3)

Executing that plan, the steps are ...

-2x -4 +5x +4 = 8 +4 . . . . add 4

3x = 12 . . . . . . . . . . . . . . . collect terms

x = 4 . . . . . . . . . divide by 3

4 0

3 years ago

Help please asap!!<br> A- z=15<br> B- z= 20<br> C- z=23<br> D- z=41

grigory [225]

Answer:

z = 15

Step-by-step explanation:

The sum S of the interior angles of a regular polygon is given by the formula

S = (n-2) x 180 where n is the number sides

Here n = 9

So S = (9-2) x 180 = 7 x 180 = 1,260

There are 9 interior angles and each angle is (5z + 65)

So the sum of all 9 interior angles = 9 (5z + 65)

= 45z + 585

Set these equal to each other and solve for z

45z + 585 = 1260

45z = 675

z = 675/45 = 15

4 0

1 year ago