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mafiozo [28]
3 years ago
9

Phil is riding his bike. He rides 23 miles in 2 hours, 34.5 miles in 3 hours, and 46 miles in 4 hours. Find the constant of prop

ortionality and write an equation to describe the situation. Let x represent the number of hours.
Mathematics
2 answers:
Slav-nsk [51]3 years ago
4 0
<span>The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour. 
d= 12.5 x t 
</span>

To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:

For example

<span>25miles÷2hours=12.5<span>mileshour</span></span>

A direct proportionality will always result in an equation that resembles this:

<span>y=kx</span>

where y and x are the related quantities and k is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)


Citrus2011 [14]3 years ago
3 0
The equation is 12.5n where n stands for any hour that Phil is riding his bike. I'm using the nth term here though.
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What is the name of the regular polygon that measures 140゚
andrezito [222]

Answer:

The regular polygon is a nonagon

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the name of the regular polygon that each interior angle measures 140゚?

we know that

The formula to find the sum of the interior angles in a regular polygon is equal to

n(a)=(n-2)180\°

where

n is the number of sides of the regular polygon

a is the measure of each interior angle of the regular polygon

we have

a=140\°

substitute in the formula and solve for n

n(140\°)=(n-2)180\°

140n=180n-360

180n-140n=360

40n=360

n=9\ sides

so

The regular polygon has 9 sides

therefore

The regular polygon is a nonagon

5 0
3 years ago
-1/2 + 4/9
stira [4]

Answer:

-1/18

Step-by-step explanation:

First, you have to change both fractions to have like denominators. The LCM of 2 and 9 is 18.

Second, you have to multiply -1/2 by 9/9 to get a denominator of 18. -1/2 x 9/9 is - 9/18.

Third, you have to multiply 4/9 by 2/2 to get a denominator of 18. 4/9 x 2/2 = 8/18.

Fourth, -9/18 + 8/18 = -1/18

Hope this helps!

4 0
2 years ago
Giving brainliest!!!!!!!!!!!!! Please be correct
Marysya12 [62]

Answer:

i cant see the picture

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the rule for the reflection? rx-axis(x, y) → (â€"x, y) ry-axis(x, y) → (â€"x, y) rx-axis(x, y) â†
malfutka [58]

The rule for the reflection is explained below. The correct option will be x-axis (x, y) = (x, -y).

In real life, we think of a reflection as a mirror image, like when we look at own reflection in the mirror.

This idea of reflection correlating with a mirror image is similar in math.

<h3>Reflection Over the X Axis </h3>

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image.

In this case, the x axis would be called the axis of reflection.

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

When point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

Notice that the x-coordinate for both points did not change, but the value of the y-coordinate changed from 4 to -4.

<h3>Reflection Over the Y Axis </h3>

A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image.

In this case, the Y axis would be called the axis of reflection.

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y-value the same.

when point P with coordinates (5,4) is reflecting across the Y axis and mapped onto point P’, the coordinates of P’ are (-5,4).

Notice that the y-coordinate for both points did not change, but the value of the x-coordinate changed from 5 to -5.

Hence the correct option is r x-axis(x, y) = (x, -y).

For more details on reflection follow the link:

brainly.com/question/4998744

6 0
2 years ago
What is the distance between points A(3, 8) and B(-3, 4)?
max2010maxim [7]

Answer:

About 7.2 OR (7.211102551)

Step-by-step explanation:

8 0
3 years ago
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