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3 years ago

The ____ property allows you to regroup terms using parentheses when adding or multiplying

Mathematics

1 answer:

Vadim26 [7]3 years ago

4 0

Answer:

"associative"

Step-by-step explanation:

The associative property lets you change the grouping of terms of a sum or of a product.

___

For example, you can rewrite

(5 + 4·3) -2

5 + (4·3 -2)

but the associative property does NOT allow you to change the grouping to ...

(5 +4)·3 -2 . . . . . not a valid rewrite

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Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=−3x 12y=−6x 2 Select the cor

tresset_1 [31]

System of equations helps to compare two real-life situations. The system is an Independent Consistent System.

<h3>What is a System of the equation?</h3>

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

Given to us

y = −3x + 12

y = −6x + 2

As we have the value of y in both equations equate it against each other,

$-3x + 12 = -6x + 2\\\\-3x + 6x = 2 -12\\\\3x = -10\\\\x = \dfrac{-10}{3}$

We know the value of x, substitute the value of x in the equation of y,

$y = -6x + 2\\\\y = -6(\dfrac{-10}{3}) + 2\\\\y = +20 + 2\\\\y = 22$

As the value of both x and y is unique, therefore, there is a unique solution for the given system of equations.

Thus, the system has a unique solution, therefore, the system is an Independent Consistent System.

Learn more about System of equation:

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2 years ago

Hurry I need help help

insens350 [35]

Step-by-step explanation:

C. This system is consistent. It has one solution.

particularly in algebra, a linear or nonlinear system of equations is called consistent

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3 years ago

Read 2 more answers

PLEASE HELP ME If the mamba roller coaster at worlds of fun speeds up from 10mph to 78mph in 2s what is the acceleration?

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34 mph per second in acceleration.

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3 years ago

Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°

vodka [1.7K]

$2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\$

$\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\$

$x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\$

$\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]$

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2 years ago

Find the area of the figure to the nearest tenth.

ad-work [718]

Answer: 31.3 square feet

Step-by-step explanation:

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2 years ago