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3 years ago

Six more than the quotient of four and a number xxx.

Mathematics

2 answers:

Elena-2011 [213]3 years ago

8 0

Answer:

$\frac{4}{x}+6$

Step-by-step explanation:

We have been given a word phrase. We are supposed to represent our given word phrase into an algebraic expression.

The quotient of four and a number x will be 4 divided by x. We can represent this information in an expression as:

$\text{Quotient of four and a number }x=\frac{4}{x}$

Six more than the quotient of four and a number x would be $\frac{4}{x}+6$

Therefore, our required expression would be $\frac{4}{x}+6$ .

Shalnov [3]3 years ago

7 0

Answer:

$\large\boxed{\dfrac{4}{x}+6}$

Step-by-step explanation:

Six more than the quotient of four and a number x:

$\dfrac{4}{x}+6$

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In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

$\Rightarrow AD=\frac{50}{10}=5$

Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

Now, the area of triangle ABC= $\frac{1}{2}\cdot 5\cdot 10$

$\Rightarrow 25$

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3 years ago

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2 years ago

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butalik [34]

Answer:

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Step-by-step explanation:

Midsegment of a Triangle Theorem - is the right choice

<em>The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.</em>

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3 years ago

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Serhud [2]

Answer:

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Step-by-step explanation:

we know that

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see the attached figure to better understand the problem

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