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Tcecarenko [31]
4 years ago
9

when three times a number which is positive is subtracted from the square of that number the answer is 28.find the number??​

Mathematics
1 answer:
sertanlavr [38]4 years ago
8 0

Answer:

1.94

Step-by-step explanation:

Let the number be x

So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,

now the number 3x is subtracted from its own square i guess it should look like this

(3x)^2-3x

and the answer is 28 so the final form of the problem should be

(3x)^2-3x=28

9x^{2} -3x-28=0

now we solve the quadratic equation by using the quadratic formula and we two values for x

one is a positive value and the other is negative value we take the positive value as said in the question itself  "when three times a number which is positive" so that value of x is 1.94

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The correct option about squaring the binomial is that B. The student is wrong. There is a missing term.

<h3>How to use binomial theorem?</h3>

We want to square a binomial and using pascal's triangle in binomial theorem, we know that; (x + a)² will follow the pattern;

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Thus, we can say that the correct option about squaring the binomial is that B. The student is wrong. There is a missing term.

Complete Question is;

A student is instructed to square a binomial, and gets the result shown. Choose the correct description of the student's work.  (x + 3)² = x² + 9 Choose the correct answer below.

A. The student is wrong. You cannot square a binomial, only monomials.

B. The student is wrong. There is a missing term.

C. The student is correct. Each given term is squared.

D. The student is wrong. The student should add the threes instead of multiplying them.

Read more about binomial Theorem at; brainly.com/question/13602562

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If x^2 + y^2 = 25, find the equation of the line tangent to the circle when x = -4
bekas [8.4K]

Answer:

In the point (-4,3) tangent is : y=4/3x+25/3 i.e, y=1.33x+8.33

In the point (-4,-3) tangent is: y=-4/3x-25/3 i.e, y=-1.33x-8.33

Step-by-step explanation:

The center of the circle is in (0,0), because x^2+y^2=(x-0)^2+(y-0)^2=25. And the radius is 5, because 5^2=25.

We have first center: (x1,y1)=(0,0)

The point of the tangent is in x=-4, so x^2+y^2=25 is 16+y^2=25,i.e y=3 and y=-3. Like you can see we have 2 tangents to the circle when x=-4. the point (-4,3) and (-4,-3).

We will do for the first point:

The point of tangent is (x2,y2)=(-4,3)

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The gradient of the tangent mt is:

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the equation of the line trought one point is:

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y=1.33x+8.33

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mt=-4/3

y+3=-4/3(x-(-4))

y=-4/3x-16/3-3

y=-4/3x-25/3

y=-1.33x-8.33

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