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2 years ago

The equation (2x^2 - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2) is an example

Mathematics

1 answer:

Nookie1986 [14]2 years ago

8 0

The method used is Distributive Property.

<h3>What is Distributive property?</h3>

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Given:

(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)

Here the property used is Distributive property.

Because distributive property in this way

a*(b+c)= a*b+ a*c

This is how a is being multiplied by with b and c.

Learn more about this Distributive property here:

brainly.com/question/4136433

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PLEASE HELP AND GIVE A FULL EXPLANATION I WILL GIVE BRAINLEST PLEASE SOMEONE

krek1111 [17]

Answer:

shown in explanation

Step-by-step explanation:

a) ∆EPB similar to ∆ERG

b) angle BEP = angle GER (common angle shared)

angle EPB = angle ERG (corresponding angles, PB//RG, parallelogram)

therefore through Angle-Angle similarity test, ∆EPB is similar to ∆ERG

or explanation can also be shortened to

∆EPB is similar to ∆ERG (AA, similarity)

c) since proven they are similar ∆, then we can proceed to use property of ratio of corresponding sides being equal

$\frac{pb}{rg} = \frac{ep}{er}$

RG = 200+300=500m

$\frac{200}{500} = \frac{ep}{ep + 350}$

cross multiply (from what I've learnt)

2ep+700=5ep

ep= 700/3 = 233 ⅓m (answer for length EP)

Do the same for length BE(using ratio of corresponding sides)

$\frac{be}{ge} = \frac{pb}{rg}$

$\frac{be}{be + 400} = \frac{200}{500}$

cross multiply again to get:

5BE = 2BE + 800

BE = 800/3 = 266 ⅔ m (answer for length BE)

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1 year ago

Can 18/33 be simplified

oksian1 [2.3K]

Yes because both 18 and 33 are mulyiples of 3

18/33 = 6 / 11

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3 years ago

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Jamie is saving to buy a video game system. He has saved $16, which is 5% of the total cost. What is the cost of the video game

Galina-37 [17]

$320 5 times 20 is 100 so you have to times 16 by 20 to get the total 100% of the video game system

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3 years ago

I need help making a proof for geometry! Here is the question…

MatroZZZ [7]

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Step-by-step explanation:

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2 years ago

Find the area of the circle.<br> 12 ft

Ratling [72]

Answer:

Area of the circle is 113.04 ft²

Step-by-step explanation:

Given:

Diameter of circle = 12 feet

To Find:

Area of the circle

Using formula:

$\\ \: \: \dashrightarrow \: \: \:{\underline{\boxed{ \bf{Area_{( circle)} = \pi r^2}}}} \\ \\$

<em>Where,</em>

π = 3.14
Diameter = 12 feet
Radius = 12/2 = 6 feet

On substituting the required values, we get:

$\\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times {(6)}^{2} \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times 36 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 113.04 \: {ft}^{2} \\ \\ \\$

Hence,

Area of the circle is<u> </u>113.04 ft²

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2 years ago

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