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3 years ago

What type of triangle is this?

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

8 0

This is a equilateral triangle because all the sides are equal.

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Step-by-step explanation:

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3 years ago

What is the completely factored form of f(x)=x3−7x2+2x+4?

expeople1 [14]

Answer:

Factored form is

f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))

Step-by-step explanation:

Given that

f(x)=x3−7x2+2x+4

To solve for x we factorise the right side

f(x)=x3−7x2+2x+4

Let us substitute x for various values to check whether remainder is zero.

i.e. f(1) = 1-7+2+4 =0

Hence x-1 is a factor

Do synthetic division to find the quotient

1 1 -7 2 4

1 -6 -4

----------------------

1 -6 -4 0

i.e. we get remainder 0 and quotient as

x^2-6x-4

Use completion of squares method to solve this

x^2-6x-4

= (x-3)^2+5=0

x-3= ±√(-5)

Or x=1,3+√(-5,) 3-√(-5,)

Are the roots

Factored form is

f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))

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3 years ago

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th

Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / $\frac{5}{2}$ m / $600

In this question cost of the large fridge is 3 times as much as the regular fridge.

Area of the base of regular fridge = 1m²

Height of the regular fridge = 2m

So volume of this fridge = 1×2 = 2m³

Area of the base of the large fridge = 2m²

Height of the large fridge = $\frac{5}{2}$ m

Volume of the large fridge = $\frac{5\times 2}{2}$ = 5m³

Ratio of the volumes of the large and regular fridge = $\frac{5}{2}=2.5:1$

Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.

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3 years ago