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Mathematics

1 answer:

Archy [21]3 years ago

7 0

I think that the answer is one

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(f/g)(x)and (f/g)(7)

Phoenix [80]

Answer:

$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}$

Step-by-step explanation:

Division operation of function: $If\ f(x)\ and\ g(x)\ are\ two\ functions\ then\ (\frac{f}{g})(x)=\frac{f(x)}{g(x)}$

$Here\ we\ have\ to\ find\ (\frac{f}{g})(7)\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}$

Example:

$Take\ f(x)=3x^2+1,\ g(x)=x+1\\\\(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(x)=\frac{3x^2+1}{x+1}\\\\f(7)=3\times 7^2+1\\\\f(7)=3\times 49+1\\\\f(7)=148\\\\g(7)=7+1\\\\g(7)=8\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}\\\\(\frac{f}{g})(x)=\frac{148}{8}$

7 0

3 years ago

Given: ABCD is a parallelogram and AC bisects BD.<br> Prove: AB is congruent to BC.

earnstyle [38]

Let's see

In ∆ABE and ∆CBE

BE=BE(Common side)
AE=EC[Diagonals of a parallelogram bisect each other]
<AEB=<BEC[90°]

So by

SAS congruence the triangles are congruent

AB=BC

Proved

Fact:-

It's already given AC is perpendicular to BD

It means diagonals are perpendicular to each other

According to general property of rhombus this parallelogram is also a rhombus.

So sides are equal hence AB =BC

3 0

2 years ago

What is the length of the radius? startfraction 6 over 85 endfraction startfraction 85 over 12 endfraction startfraction 121 ove

melomori [17]

The length of the radius will be 22 units.

<h3>What is the radius?</h3>

The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.

Now from the question, we have an expression:

$r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )$