Find the number: 2 x 10⁴ + 3 x 10² + 5 x 10⁰.

Answers

Answer 1
Answer: Answer: 20305

Note: 10 to the power of zero is 1.


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determine the equation of g(x) that results from translating the function f(x)= (x + 8)^2 to the right 13

Answers

g(x)=(x+8-13)^2=(x-5)^2

there are two numbers that are 3 times as far from 19 as they are from 11. the sum of the two numbers is?

Answers

To find one number, solve (x - 19) = 3(x - 11) .

To find the other number, solve (19 - x) = 3(x - 11) .

It turns out that the numbers are 7 and 13 .

Their sum is 20 .

How to solve a system of equations

Answers

First , you need to use elimination method .In the elimination method you either add or subtract the equations to get an equation in one variable .


I hope that's help ! 

Which statement is not a step used when constructing an inscribed hexagon? swing two arcs above and below the radius. keep your compass at the width equal to the radius of the circle. place the compass on the point where the circle and radius intersect. swing an arc the length of the radius from the point on the circle.

Answers

Final answer:

The incorrect step when constructing an inscribed hexagon is 'swing two arcs above and below the radius'. When constructing an inscribed hexagon, you sequentially position the compass along the circle's circumference, maintaining the same compass width (equivalent to the circle's radius), and draw intersecting arcs.

Explanation:

The step which is not used when constructing an inscribed hexagon is to 'swing two arcs above and below the radius'. All the other steps mentioned are correct and are part of the process in creating an inscribed hexagon in a circle. Here's the correct sequence of actions:

  1. Draw a circle using a compass.
  2. Place the point of your compass at any location on the circle's boundary to define a starting point.
  3. Maintaining the same compass width (radius of the circle), create additional points on the circle's edge by consecutively placing the compass' point on the previous point and swinging an arc that intersects with the circumference of the circle.
  4. Repeat this procedure until six points are established around the circumference of the circle.
  5. Finally, connect these six points to make the hexagon.

Learn more about Inscribed Hexagon here:

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Final answer:

The statement 'swing an arc the length of the radius from the point on the circle' is not a step used when constructing an inscribed hexagon because it would extend beyond the circle and not aid in creating equal divisions. Option D is correct.

Explanation:

The process of constructing an inscribed hexagon involves dividing a circle into six equal arcs using a compass and a straightedge. The statements A, B, and C are accurate descriptions of steps used in this process. Statement A references the actions of swinging two arcs above and below the radius, which helps establish equal divisions around the circle.

Statement B suggests keeping the compass width equal to the radius of the circle, an important step in ensuring consistent arc sizes. Statement C mentions placing the compass on the point where the circle radius intersects.

However, statement D, swing an arc the length of the radius from the point on the circle, is not a step used in the construction of an inscribed hexagon. This action would result in a distance that extends beyond the circle, and would not aid in creating equal divisions needed for an inscribed hexagon.

Option D is correct.

Learn more about Inscribed hexagon here:

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Really confused. Need help asap

Answers

Terms:

  • Domain - All the "x"  values (horizontal)
  • Range - All the "y" values (vertical)

Writing in interval notation:

[] - Point is included

() - Point not included.

Domain = [8,12]

Range = [-6,-2]

What two numbers add up to -53 and multiply to -24

Answers

assume the numbers are x , y
x+y =-53
x*y =-24
from equation 1 we get y = -53-x
sub in eqn.2
x* (-53 -x ) = -24
then x^2 + 53x -24 =0
and by solving the equation and substitute we get
the two numbers are
0.449 & -53.452