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3 years ago

If (20,8) and (25, 10) belong to a proportional relationship, what is the constant of proportionality

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

4 0

Answer:

The proportionality constant is 2/5

Step-by-step explanation:

Here, we want to get the proportionality constant

Let us view the two points as being points on a line

The constant of proportionality will be the slope of the line that connects the two points

Mathematically, we can use the formula for the slope of a line

We have this as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (20,8)

(x2,y2)= (25,10)

m = (10-8)/(25-20) = 2/5

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Determine if the expression - 8n ^ 2 * m ^ 4 + 9m ^ - 1 * n ^ 2 + 6n ^ 4 * is a polynomial or not. If it is a polynomial, state

vovangra [49]

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

since there is a term of m^-1 (a negative exponent) that we cannot combine with others (as it is not multiplied with another m-based term), it is NOT a polynomial.

8 0

3 years ago

Look at the angles for all regular polygons. As the number of sides increases, do the measures of the angles increase or decreas

Verdich [7]

Answer:

As the number of sides increases, the measures of the angles increase

see the explanation

Step-by-step explanation:

we know that

The measure of the interior angle in a regular polygon is equal to

$x=\frac{(n-2)}{n}(180^o)$

where

n is the number of sides of the regular polygon

x is the measure of the interior angle in a regular polygon

we have that

Examples

A triangle

n=3 sides

$x=\frac{(3-2)}{3}(180^o)=60^o$

A square

n=4 sides

$x=\frac{(4-2)}{4}(180^o)=90^o$

A pentagon

n=5 sides

$x=\frac{(5-2)}{5}(180^o)=108^o$

A hexagon

n=6 sides

$x=\frac{(6-2)}{6}(180^o)=120^o$

n ----> 3,4,5,6...

x ----> 60°,90°,108°,120°,...

As the number of sides increases, the measures of the angles increase

The pattern is $x=\frac{(n-2)}{n}(180^o)$

5 0

3 years ago

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a sa

a_sh-v [17]

Answer:

H) 45,000 + 2,500 x = 54,000 + 1,500x

Step-by-step explanation:

Let the number of years be represented as x

For Jerry

Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,

The equation is

45,000 + 2,500x

Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.

The equation is :

54,000 + 1,500x

The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as

Equation for Jerry = Equation for Victoria

45,000 + 2,500x = 54,000 + 1,500x

Option H is the correct option

8 0

3 years ago

Please help me i dont know how to do any of this

Valentin [98]

I think its... A (but not sure)

3 0

3 years ago

Answer soon please and thank you! (3,-6) is an endpoint coordinate on a line segment, where the midpoint is given to us as (1, -

Papessa [141]

Answer:

C. (-1, 2)

Step-by-step explanation:

The midpoint has coordinates that are the average of the endpoint coordinates. If the endpoints are A and B, and the midpoint is M, the equation for this is ...

M = (A+B)/2

Solving for B, we get ...

2M = A + B

2M - A = B

This tells us we can find the other endpoint by subtracting the coordinates of the given endpoint from twice the midpoint coordinates. (It is useful to remember this.)

B = 2(1, -2) - (3, -6) = (2-3, 2(-2)-(-6)) = (-1, 2)

The other endpoint is (-1, 2).

_____

You can also graph the points and find one as far from center as the given endpoint is.

3 0

4 years ago