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3 years ago

What is the radius of 484

Mathematics

1 answer:

Gala2k [10]3 years ago

8 0

Answer:

radius can't be found of a number. radius is used for geometry. If it is the area of circle, soln is below

Step-by-step explanation:

πr²= 484

r² = 484×7/22

r²=22×7

r = √154

r= 12.409 ans

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For some constants a and b let \[f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x

Viktor [21]

Answer:

The value of a+b is 4.

Step-by-step explanation:

The given function is

$f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x > 3. \end{array} \right.$

It is given that for some constants a and b the function f has the property that f(f(x))=x for all x.

For x≤3,

$f(x)=9-2x$

For x>3,

$f(x)=ax+b$

At x=0,

$f(0)=9-2(0)=9$

$f(f(0))=f(9)\Rightarrow a(9)+b=9a+b$

Using property f(f(x))=x,

$f(f(0))=0$

$9a+b=0$ .... (1)

At x=1,

$f(1)=9-2(1)=7$

$f(f(1))=f(7)\Rightarrow a(7)+b=7a+b$

Using property f(f(x))=x,

$f(f(1))=1$

$7a+b=1$ .... (2)

Subtract equation (2) from equation (1).

$9a+b-(7a+b)=0-1$

$2a=-1$

Divide both sides by 2.

$a=-\frac{1}{2}$

Substitute this value in equation (1).

$9(-\frac{1}{2})+b=0$

$b=\frac{9}{2}$

The value of a is $-\frac{1}{2}$ and value of b is $\frac{9}{2}$ . The value of a+b is

$a+b=-\frac{1}{2}+\frac{9}{2}$

$a+b=4$

Therefore the value of a+b is 4.

5 0

3 years ago

Write an algebraic expression to represents the verbal expression: the difference between the product of 4 and a number and the

Naily [24]

Answer:

$4n-n^2$

Step-by-step explanation:

I use 'n' as the unknown value, but you can use any letter you want as the variable.

The product of four and a number would be represented by '4 * n'. The ideal way to write this would be '4n', even though '4 * n' is also correct in value.

The square of the number would be n². Squaring a number is multiplying a number by itself.

The phrase 'difference between...' means subtraction.

Putting it together:

"The difference between the product of 4 and a number and the square of the number" would be:

$4n-n^2$

Hope this helps.

4 0

3 years ago

. Fill in the blank with the most accurate definition.

Zigmanuir [339]

Two distinct points are $\boxed{{\text{collinear}}}.$ Option (C) is correct.

Further Explanation:

Given:

The options are as follows,

(A). Coplanar.

(B). Equidistant.

(C). Collinear.

(D). Complementary.

Explanation:

A point is a location on the graph or at any surface.

A line is the distance between the two points that extends to infinite in both directions.

The points that are on the same plane is known as coplanar points.

Ifdistance to the points from a particular point is same then the points are equidistant.

The points that are on the same line is known as collinear points.

Two distinct points are $\boxed{{\text{collinear}}}$ . Option (C) is correct.

Option (A) is not correct.

Option (B) is not correct.

Option (C) is correct.

Option (D) is not correct.

Learn more:

1Learn more about product of binomial and trinomial brainly.com/question/1394854.
Learn more about equation of circle brainly.com/question/1506955
Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Line and Rays

Keywords: ray, line, definition, accurate, coplanar, equidistant, collinear, complementary, two, two distinct, points line segment, point, two dimension, plane, parallel lines, intersecting lines, location, distance, undefined, defined, pair, pair of lines, intersection point, never intersect.

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Charra [1.4K]

Answer:

$14.85 hope that helps

Step-by-step explanation:

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