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3 years ago

Why would negative numbers not make sense for the values of variables

1 answer:

6 0

Negative numbers wouldn't make sense for values of the variables because the solution having a negative value is invalid.

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Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

This point is on the graph

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

This point is not on the graph

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

This point is not on the graph

$(\frac{4}{8},\frac{2}{8})$

$x = \frac{4}{8}$ and $y = \frac{2}{8}$

Substitute $\frac{4}{8}$  for x and  $\frac{2}{8}$ for y in $y = \frac{1}{2}x$

$\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$

$\frac{2}{8} = \frac{1 * 4}{8 * 2}$

$\frac{2}{8} = \frac{4}{16}$

$\frac{1}{4} = \frac{1}{4}$

This point is on the graph

3 0

3 years ago

Help~~~~~~~~~~~~~~~~~~~~~~~~~

igor_vitrenko [27]

Answer:

28.25 square units

Step-by-step explanation:

A circumference of the circle is

$C=2\pi r,$

where r is the radius of the circle.

So,

$18.84=2\pi r\\ \\r=\dfrac{18.84}{2\pi}=\dfrac{9.42}{\pi}\ cm$

The area of the circle is

$A=\pi r^2$

Substitute the value of the radius:

$A=\pi \cdot \left(\dfrac{9.42}{\pi}\right)^2=\dfrac{9.42^2}{\pi}\approx 28.25\ un^2$

8 0

3 years ago

Read 2 more answers

A round table has 4 legs and a rectangular table has 6 legs. If 10 tables have a total of 52 legs, how many of the legs belong t

ivolga24 [154]

Answer:

16 because if each chair has 4 legs you multiply that by the amount of chairs you have. 4x4=16

Step-by-step explanation:

4x4=16

3 0

2 years ago

What is the solution to the inequality?

nika2105 [10]

7x + 18 > -3

Subtract 18 from both sides,
7x > -21

Divide from 7,
x > -3

In short, Your Answer would be Option D

Hope this helps!

7 0

3 years ago

Read 2 more answers

The population of Algebraville is 500,000 and growing at 6.25%. How many people will live in Algebraville in 10 years? 20?

otez555 [7]

This would be exponential growth
A= 500,000(1+.0625)^10
=500,000(1.0625)^10
=500,000* 1.83353577126
the population after 10 years= 916,767
A=500,000(1+.0625)^20
=500,000(1.0625)^20
=500,000* 3.36185342451
the population after 20 years would be= 1,680,926

8 0

3 years ago