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True [87]
3 years ago
8

Describe the relationship between n and 4 that will make the value of the expression 7x n/4 greater than 7

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0
The relationship between n and 4 is n>4

We have,
     
    7\frac{n}{4} > 7

The number 7 which is in multiplication on left hand side of the expression, will come in denominator on right hand side of the expression.

⇒ \frac{n}{4} > \frac{7}{7}

⇒ \frac{n}{4} > 1
Again 4 in denominator from left hand side will come in numerator on right hand side
⇒ n > 4
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The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

The equation of a circle of <u>radius r and center</u> (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

  • The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.

In this problem, the circular path is modeled by:

x^2 + y^2 - 10x - 18y - 378 = 0

We complete the squares to place it in the standard format, thus:

x^2 - 10x + y^2 - 18y = 378

(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81

(x - 5)^2 + (y - 9)^2 = 484

Thus, the radius is:

r^2 = 484 \rightarrow r = \sqrt{484} = 22

Then, the diameter is:

d = 2r = 2(22) = 44

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

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2 years ago
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Scott was considering the equation 5 - x = 12. He said, "That seems
den301095 [7]

Answer:

-7

Step-by-step explanation:

5 - x = 12  \\ 5 - 12 = x \\   - 7 = x

it is possible because x is just a letter representing the unknown nos

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What characteristic of a parabola can be easily identified when the factored form of a quadratic is given?
Shkiper50 [21]
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3 years ago
Is .634 rational number
Ksivusya [100]
Yes 0.634 is a rational number.
Rational numbers are those numbers that can be still expressed in standard form or in fraction form and vice-versa. Unlike irrational numbers that are opposed to the definition of rational numbers. These values include pi, square root of two and etc. These values are impossible to fractionize. To better illustrate this circumstance.

We can have calculate a number that will have a quotient of 0.634 or a fraction that is equal to the given value. <span><span>
1. </span><span> 634/1000 = 0.634</span></span>
<span><span>2. </span><span> 317/500 = 0.634 </span></span>



3 0
3 years ago
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