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3 years ago

The sum of three consecutive numbers is equal to 123. What are the numbers?

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

40, 41, 42

Step-by-step explanation:

x +x+1+x+2=123

3x+3=123

3x=123-3

3x=120

x=120:3

x=40(the first number

40+1=41 (the second number

40+2=42 (the third number

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The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represent

TiliK225 [7]

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers ( $x^2$ and $(x+2)^2$ ) is (=) 44 (44)"

this means the following:

$(x+2)^2-x^2=44$

solve for x to find the smaller integer

first, expand

$(x^2+4x+4)-x^2=44$

$x^2+4x+4-x^2=44$

$4x+4=44$

$4x=40$

$x=10\rightarrow x+2=10+2=12$

The 2 integers are 10 and 12

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3 years ago

a_sh-v [17]

Answer:

The equation is,

$(x+1)^{2} \times (x+2) = 0$

Step-by-step explanation:

According to the question, the equation is cubic and have roots -1 (with multiplicity of 2) and -2.

So, the equation is,

$(x+1)^{2} \times (x+2) = 0$

[Since, when a , b , c are the roots of a cubic equation, the equation is

given by $(x-a) \times (x-b) \times (x-c) = 0$ ]

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3 years ago

A ladder is leaning against the top of

Dafna11 [192]

Answer:

Step-by-step explanation:

Discussion

You are working with the Cosine of the angle.

Hypotenuse = 12.5

Base = 3

Theta = ?

Solution

Cos(theta) = base / hypotenuse Substitute values

Cos(theta) = 3 / 12.5 Divide

Cos(theta) = 0.24 Tale the inverse cos

theta = cos-1(0.24)

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Answer:

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Step-by-step explanation:

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scZoUnD [109]

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