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3 years ago

Which statement comparing |−12| and |8| is true?

Mathematics

2 answers:

serg [7]3 years ago

7 0

Answer:

|-12| > |8|

Step-by-step explanation:

In this question we have two absolute values which are

Absolute value is always positive. That is absolute value of negative number is the positive number and absolute value

So the correct andswer is

|-12| > |8|

Alinara [238K]3 years ago

5 0

They are both positive. Also, they're both rational, even, natural, integer, multiples of 4 .

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Solve the equation (0°≤A≤360°)<br>a) √3sinA-cosA=√2

Blizzard [7]

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

6 0

3 years ago

Given the relations A: (3,2), (5,3), (6,2), (7,4) which statement is true?

In-s [12.5K]

Answer:

Option 3.

Step-by-step explanation:

The given relation is

A= {(3,2), (5,3), (6,2), (7,4)}

A relation is called a function, if there exist a unique value of y for each value of x.

In relation A, there exist unique output for each input. So, A is a function.

If a relation is defined as R = {(a,b), a∈R,b∈R}, then inverse of R is

R⁻¹ = {(b,a), a∈R,b∈R}

So, inverse of A is defined as

A⁻¹= {(2,3), (3,5), (2,6), (4,7)}

Here, the value of y are 3 and 6 at x=2.

For x=2, there exist more than one output. So, A⁻¹ is not a function.

Therefore, the correct option is 3.

8 0

3 years ago

The width of a rectangle is 2x + 4 and the length of the

iren [92.7K]

Given:

Width of a rectangle = $2x+4$

Length of the rectangle = $6x+12$

To find:

The ratio of the width to the length.

Solution:

We need to find the ratio of the width to the length.

$\text{Required Ratio}=\dfrac{\text{Width}}{\text{Length}}$

Putting the given values, we get

$\text{Required Ratio}=\dfrac{2x+4}{6x+12}$

$\text{Required Ratio}=\dfrac{2(x+2)}{6(x+2)}$

$\text{Required Ratio}=\dfrac{2}{6}$

$\text{Required Ratio}=\dfrac{1}{3}$

$\text{Required Ratio}=1:3$

Therefore, the ratio of the width to the length is 1:3.

8 0

3 years ago

Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart be

NNADVOKAT [17]

Answer:

m∠LON = m∠HKJ

Step-by-step explanation:

. m∠LOM = m∠JKI; m∠MON = m∠IKH 1.

2. m∠LOM + m∠MON = m∠JKI + 2.

m∠MON

3. m∠LOM + m∠MON = m∠JKI + 3.

m∠IKH

4. m∠LOM + m∠MON = m∠LON; 4.

m∠JKI + m∠IKH = m∠HKJ

5. m∠LON = m∠HKJ 5.

4 0

3 years ago

What statement best explains whether y=3x +5 is a linear function or a nonlinear function?

GarryVolchara [31]

Answer:

It is a linear function because its graph contains the points (0,5), (1,8), (2,11), which are on a straight line.

8 0

2 years ago

Which statement comparing ​ |−12| ​ and ​ |8| ​ is true?

Which statement comparing |−12| and |8| is true?