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11 months ago

name the opposite integers: 5, 8, 11 ,- 9 ,- 4,- 7 what integer is less one less than: 0 ,- 2, 14, - 4 and 9.

Mathematics

2 answers:

baherus [9]11 months ago

8 0

Answer: Opposite integers: -5,-8,-9,4,7

One less than: -1,-3,13,-5,8

Step-by-step explanation:

Reil [10]11 months ago

5 0

Hi, there!

__________

To find a number's opposite integer, you should change it's sign:

$\begin{gathered} \bigstar\\\boldsymbol{Integer:5}\\\boldsymbol{Opposite\:integer:-5}\\\boldsymbol{Integer:8}\\\boldsymbol{Opp.Int:-8}\\\boldsymbol{Integer:11}\\\boldsymbol{Opp.Int;-11}\\\boldsymbol{Integer:-9}\\\boldsymbol{Opp.Int:9}\\\boldsymbol{Integer:4}\\\boldsymbol{Opp.Int:-4}\\\boldsymbol{Integer:-7}\\\boldsymbol{Opp.Int:7}\\\bigstar\end{gathered}$

To find integers less than 1, you just need to subtract 1:

$\begin{gathered}\\\bigstar\\\boldsymbol{Integer:0}\\\boldsymbol{1 \ less \ than \ 0: -1}\\\boldsymbol{Integer:-2}\\\boldsymbol{1 \ less \ than \ -2:-3}\\\boldsymbol{Int.:14}\\\boldsymbol{1 \ less\ than\ 14: 13}\\\boldsymbol{Int.-4}\\\boldsymbol{1\ less\ than\ -4: -5}\\\boldsymbol{Integer:9}\\\boldsymbol{1\ less\ than\ 9: 8}\\\bigstar\end{gathered}$

Hope the answer - and explanation - made sense to you,

happy learning !!

$\tiny\boldsymbol{Frozen \ melody}$

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Please help me!! Il give u brainliest(:

baherus [9]

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This is because the power of f is -1

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2 years ago

What is the value of x in the equation 2(x – 3) + 9 = 3(x + 1) + x? x =

sukhopar [10]

Start with

$2(x-3)+9=3(x+1)+x$

Expand both parentheses by multiplying both terms by the number outside:

$2x-6+9 = 3x+3+x$

Sum like terms:

$2x+3 = 4x+3$

Simplify the "+3" on both sides:

$2x = 4x$

Subtract 2x from both sides:

$2x=0$

Divide both sides by 2:

$x=0$

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2 years ago

Graph the set of points. Which model is most appropriate for the set?

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slope between (-3, 2) & (–1, 4) = 1 
slope between (-1, 4) & (2, 7) = 1 

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6 0

2 years ago

Prove that: (b²-c²/a)CosA+(c²-a²/b)CosB+(a²-b²/c)CosC = 0

IRISSAK [1]

Prove that:

$\:\:\sf\:\:\left(\dfrac{b^2-c^2}{a}\right)\cos A+\left(\dfrac{c^2-a^2}{b}\right)\cos B +\left(\dfrac{a^2-b^2}{c}\right)\cos C=0$

Proof: 

We know that, by Law of Cosines,

$\sf \cos A=\dfrac{b^2+c^2-a^2}{2bc}$
$\sf \cos B=\dfrac{c^2+a^2-b^2}{2ca}$
$\sf \cos C=\dfrac{a^2+b^2-c^2}{2ab}$

Taking LHS

$\left(\dfrac{b^2-c^2}{a}\right)\cos A+\left(\dfrac{c^2-a^2}{b}\right)\cos B +\left(\dfrac{a^2-b^2}{c}\right)\cos C$

Substituting the value of cos A, cos B and cos C,

$\longmapsto\left(\dfrac{b^2-c^2}{a}\right)\left(\dfrac{b^2+c^2-a^2}{2bc}\right)+\left(\dfrac{c^2-a^2}{b}\right)\left(\dfrac{c^2+a^2-b^2}{2ca}\right)+\left(\dfrac{a^2-b^2}{c}\right)\left(\dfrac{a^2+b^2-c^2}{2ab}\right)$

$\longmapsto\left(\dfrac{(b^2-c^2)(b^2+c^2-a^2)}{2abc}\right)+\left(\dfrac{(c^2-a^2)(c^2+a^2-b^2)}{2abc}\right)+\left(\dfrac{(a^2-b^2)(a^2+b^2-c^2)}{2abc}\right)$

$\longmapsto\left(\dfrac{(b^2-c^2)(b^2+c^2)-(b^2-c^2)(a^2)}{2abc}\right)+\left(\dfrac{(c^2-a^2)(c^2+a^2)-(c^2-a^2)(b^2)}{2abc}\right)+\left(\dfrac{(a^2-b^2)(a^2+b^2)-(a^2-b^2)(c^2)}{2abc}\right)$

$\longmapsto\left(\dfrac{(b^4-c^4)-(a^2b^2-a^2c^2)}{2abc}\right)+\left(\dfrac{(c^4-a^4)-(b^2c^2-a^2b^2)}{2abc}\right)+\left(\dfrac{(a^4-b^4)-(a^2c^2-b^2c^2)}{2abc}\right)$

$\longmapsto\dfrac{b^4-c^4-a^2b^2+a^2c^2}{2abc}+\dfrac{c^4-a^4-b^2c^2+a^2b^2}{2abc}+\dfrac{a^4-b^4-a^2c^2+b^2c^2}{2abc}$

On combining the fractions,

$\longmapsto\dfrac{(b^4-c^4-a^2b^2+a^2c^2)+(c^4-a^4-b^2c^2+a^2b^2)+(a^4-b^4-a^2c^2+b^2c^2)}{2abc}$

$\longmapsto\dfrac{b^4-c^4-a^2b^2+a^2c^2+c^4-a^4-b^2c^2+a^2b^2+a^4-b^4-a^2c^2+b^2c^2}{2abc}$

Regrouping the terms,

$\longmapsto\dfrac{(a^4-a^4)+(b^4-b^4)+(c^4-c^4)+(a^2b^2-a^2b^2)+(b^2c^2-b^2c^2)+(a^2c^2-a^2c^2)}{2abc}$

$\longmapsto\dfrac{(0)+(0)+(0)+(0)+(0)+(0)}{2abc}$

$\longmapsto\dfrac{0}{2abc}$

$\longmapsto\bf 0=RHS$

LHS = RHS proved.

7 0

2 years ago

Find the angle measure of minor arc MP.

ella [17]

Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

5 0

2 years ago

Read 2 more answers

name the opposite integers: 5, 8, 11 ,- 9 ,- 4,- 7 what integer is less one less than: 0 ,- 2, 14, - 4 and 9.​

name the opposite integers: 5, 8, 11 ,- 9 ,- 4,- 7 what integer is less one less than: 0 ,- 2, 14, - 4 and 9.