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2 years ago

An equivalent expression for 16x − 8 is _ . The _ Property is used to generate this expression.

Mathematics

2 answers:

Anvisha [2.4K]2 years ago

8 0

16x - 8 can be 8(2x - 1)

The distributive property

hope this helps

irina [24]2 years ago

3 0

Answer:

$8(2x-1)$

WE used distributive property to generate this expression

Step-by-step explanation:

An equivalent expression for 16x − 8

To get equivalent expression we factor out GCF

$16x--> 2,2,2,2,x$

$8-->2,2,2$

Greatest common factor GCF is $2 \cdot 2 \cdot 2 =8$

We take out GCF 8

16x − 8

$8(2x-1)$

WE used distributive property to generate this expression

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A point x is 34m due to east of a point Y . The bearing of a flagpole from x and Y are N18°W And N40°E respectively .

Murljashka [212]

Answer:

The distance of flag post from Y is 38.13 m

Step-by-step explanation:

Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.

Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.

Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.

Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,

$\angle AXY=\angle AXF+\angle FXY$

$\therefore 90 \degree=18\degree+\angle FXY$

$\angle FXY=72\degree$

Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,

$\angle BYX=\angle BYF+\angle FYX$

$\therefore 90 \degree=40\degree+\angle FYX$

$\angle FYX=50\degree$

Refer attachment 1.

From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.

∠YFX+∠FYX+∠FXY=180°

∠YFX+50°+72°=180°

∠YFX=58°

Refer attachment 2.

Now the distance FY can be calculated using sin rule as follows,

$\frac{\sin X}{FY}=\frac{\sin F}{YX}=\frac{\sin Y}{FX}$

Substituting the values,

$\frac{\sin 72}{FY}=\frac{\sin 58}{34}=\frac{\sin 50}{FX}$

Simplifying first two terms,

$\frac{\sin 72}{FY}=\frac{\sin 58}{34}$

Cross multiplying,

$34\times\sin 72=FY\times \sin 58$

$\dfrac{34\times\sin 72}{\sin 58}=FY$

$FY=38.13$ m

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2 years ago

The cost of phone is reduced by 30% new cost is 116.83 what was the original price of the phone

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Answer:

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Step-by-step explanation:

let p represent the original price. Then:

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Finally,

p = $116.83/0.70 = $166.90

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2 years ago

An equivalent expression for 16x − 8 is _____ . The _____ Property is used to generate this expression.

An equivalent expression for 16x − 8 is _ . The _ Property is used to generate this expression.