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3 years ago

Which property may be necessary during the process of solving equations with parentheses? Select all that apply

Mathematics

2 answers:

Alinara [238K]3 years ago

4 0

Reflexive, multiplication and distributive. Hope that helps! :)

Olenka [21]3 years ago

4 0

Answer:

addition property of equality

multiplication property of equality

distributive property.

Step-by-step explanation:

We use addition property of equality , multiplication property of equality and distributive property.

We will not use reflexive property which is x = x.

Let me show you an example.

solve the following equation:

2(x - 1) = 8

Use distributive property a(b - c) = a.b - a.c

2x - 2 = 8

Add 2 on both sides. Addition property of equality.

2x -2 + 2 = 8 + 2

2x = 10

Now multiply both sides by the reciprocal of 2, which is 1 over 2, we get

x = 5

Therefore, the answer is " addition property of equality , multiplication property of equality and distributive property."

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Tatami mats are used as a floor covering in japan. One possible layout uses four identical rectangular mats and one square mat,

Maksim231197 [3]

a) Given

Total area = 81 feet squared.

Let the area of the square mat = x feet.

From question, area of the rectangular mat is twice that of square mat.

So, the area of the rectangular mat $= 2 x$ feet.

Now,

Total area = 81 feet squared

Then,

$4(2 x) + x = 81\\ \\ 9 x = 81\\ \\ x = \frac{81}{9}\\ \\ x = 9\\$

Hence the area of the one rectangular mat = 2*9 = 18 feet squared

b) Let the width of the rectangular mat = y feet.

Then length of the mat = 2 y feet.

Area of the rectangle $= 2 y* y = 2 y^{2}$

and area of rectangle = 18 feet squared.

So,

$2 y^{2} = 18\\ y^{2} = 9\\ y= \pm3\\$

Width can not be negative.

Hence, the width of the rectangular mat = 3 feet

and length of the rectangular mat = 3*2 = 6 feet

8 0

3 years ago

X^2-6x=6<br> solve by completing the square

Ivanshal [37]

Hi!

The answer is x=3± $\sqrt{15}$

7 0

3 years ago

Please help 10 POINTS!!!

iVinArrow [24]

(-5,-1)

Would be ur answer!!

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3 0

2 years ago

What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,

Mamont248 [21]

Answer:

y=-5x+12

Step-by-step explanation:

just use a graphing calculator and basic knowledge of slope intercept form

7 0

3 years ago

What is the value of H only answer if you know for sure it's correct thank you:)

Ostrovityanka [42]

Answer:

8\sqrt{2}\ units.

Step-by-step explanation:

Use the trignometric property.

sin\theta = \frac{Perpendicular}{Hypotenuse}

Perpendicular = 8

Hypotenuse = h

\theta = 45^{\circ}

sin\ 45^{\circ} = \frac{1}{\sqrt{2}}

\frac{1}{\sqrt{2}} = \frac{8}{h}

h = 8\sqrt{2}\ units

Hope I helped you! x

4 0

3 years ago