All categories

3 years ago

Calculate the slope between the coordinates (-2,3) and (2,-1) using the slope formula.

Mathematics

1 answer:

matrenka [14]3 years ago

7 0

Answer:

slope = -1

Step-by-step explanation:

First, you need to know the slope formula: y2 - y1

x2 - x1

Now recognize the first point (-2,3) as (x1,y1) and the second point (2,-1) as (x2,y2)

Now that you have done that, plug in the numbers into the slope equation.

Which should look like this: -1 - 3

2 - -2

Now that your equation looks like this, recognize the denominator, we should know that a negative plus a negative equals a positive. So instead of subtracting the denominator of the equation, we are going to add the two numbers together, because x1 is negative. Now solve, you should get the answer -1.

-1 - 3 -4 = -1

2 + 2 4

Hope this was helpful!

You might be interested in

The functions f(x) and g(x) are described below:

AfilCa [17]

Answer:

$15$ units.

Step-by-step explanation:

The given functions are:

$f(x)=3x-7$

and

$g(x)=3x+8$

The function $f(x)=3x-7$ has y-intercept , $-7$ .

The function $g(x)=3x+8$ has y-intercept, $8$

If we shift the graph of g(x) up to obtain f(x), then the y-intercept must move from $-7$ to $8$ .

This means that the graph will move up by;

$8--7=8+7=15$ units.

8 0

4 years ago

Read 2 more answers

How to reduce into simpler terms.?

Sveta_85 [38]

Answer:

The simplest form of the fraction $\frac{45}{100}$ is $\frac{9}{20}$ .

i.e.

$\frac{45}{100}=\frac{9}{20}$

Step-by-step explanation:

Here are some simple observations regarding how to reduce a fraction into simpler terms:

A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.

In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .

So, lets take a sample fraction and reduce into simpler terms.

Considering the fraction

$\frac{45}{100}$

$\mathrm{Find\:a\:common\:factor\:of\:}45\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}$

$\mathrm{Greatest\:Common\:Divisor\:of\:}45,\:100:\quad 5$

$\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}$

$45=5\cdot \:9\mathrm{,\:\quad }100=5\cdot \:20$

$\frac{45}{100}=\frac{5\cdot \:\:9}{5\cdot \:\:20}$

$\mathrm{Cancel\:the\:common\:factor:}\:5$

$=\frac{9}{20}$

Therefore, the simplest form of the fraction $\frac{45}{100}$ is $\frac{9}{20}$ .

i.e.

$\frac{45}{100}=\frac{9}{20}$

4 0

4 years ago

Let f(x)=2.912345x^2+3.131579x-0.099999

Rudiy27

A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²+3.131579x-0.099999
f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4) * 100
Percentage error = |60 - 59.023837|/59.023837 * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.

5 0

3 years ago

A truck driver drove 300 miles in 6 3/4 hours. How many miles per hour did the driver drive?

Andru [333]

44.4 miles per hour. You just divide 300 and 6.75 (Think as the 3/4 as quarters each 1 is .25) then you will get 44.4. To check your answer you would multiply 44.4 and 6.75 and get 299.7. This is not 300 but when you round that .7 to the nearest 10 you will get 300. Hope this helped.

3 0

3 years ago

Read 2 more answers

Every week, Bob plays the guitar for three hours, and his grade on each psych test is 75 percent. Last week, after playing fo

dsp73

Answer:

20% psyche test scores

Step-by-step explanation:

Given that every week, Bob plays the guitar for three hours, and his grade on each psych test is 75 percent.

Last week, after playing for three hours, Bob considered playing for an additional hour.

He decided to play for another hour and cut his study time by one hour, but last week his psych grade was 55 percent.

Bob's opportunity cost of the fourth hour of playing the guitar

=His cut in scores in psyche test

=20%

4 0

3 years ago