All categories

3 years ago

Find the slope of each line?

Mathematics

1 answer:

nydimaria [60]3 years ago

4 0

Just find two places where the line passes through a point. For example for number one, it would be (5,4) and (2,3). Then, count how many whole units are between them and then you have slope (rise (up and down) divided by run (side to side)

So, going back to number one, your answer would be 1/3 because you go up one block and over three blocks to get from (5,4) to (2,3). Also, if you look at the line and it is an incline, then it is positive (like number one). But, if the line is a decline, then your slope would be negative (like number three).

I know I didn't give you the answers, but hopefully you understand it better!

You might be interested in

If f(x)=8-5x, find each value<br> 1. f(4c)<br> 2. f(2-k)<br> 3. f(4p+3)<br> Please and thanks!

Studentka2010 [4]

Problem 1

We replace every copy of x with 4c and simplify like so:

f(x) = 8 - 5x

f(4c) = 8 - 5*4c

f(4c) = 8 - 20c is the answer

This is equivalent to -20c+8.

====================================================

Problem 2

Same idea as before, but this time we'll plug in x = 2-k

Each x gets replaced with (2-k)

f(x) = 8 - 5x

f(2-k) = 8 - 5(2-k)

f(2-k) = 8 - 10 + 5k

f(2-k) = -2 + 5k

This is the same as saying 5k - 2.

====================================================

Problem 3

The steps are similar to earlier.

f(x) = 8 - 5x

f(4p+3) = 8 - 5(4p+3)

f(4p+3) = 8 - 20p - 15

f(4p+3) = -7-20p

This is the same as writing -20p - 7.

7 0

2 years ago

In the rectagular prism shown below, GH is parallel to EF. If the equation of GH is 6y-x=2, could the equation of EF be 4=y-1/6x

ASHA 777 [7]

Answer:

Yes

Step-by-step explanation:

Given

GH:

$-6y - x = 2$

Required

Can EF be

$4 = y - \frac{1}{6}x$

First, we determine the slope of GH

$-6y - x = 2$

Solve for 6y

$6y = -x - 2$

Solve for y

$y = -\frac{1}{6}x - \frac{2}{6}$

$y = -\frac{1}{6}x - \frac{1}{3}$

An equation has the form:

$y =mx + b$

Where

$m = slope$

By comparison:

$m = -\frac{1}{6}$

Next, determine the slope of EF

$4 = y - \frac{1}{6}x$

Make y the subject

$y = -\frac{1}{6}x + 4$

The slope is:

$m = -\frac{1}{6}$

Compare the slopes of both lines.

$m=m = -\frac{1}{6}$

Since they have the same slopes, then the equation of EF is possible

4 0

4 years ago

A motorboat that travels with a speed of 20 km/hour in still water has traveled 20 km against the current and 180 km with the cu

Gala2k [10]

Recall your d = rt. distance = rate * time.

let's say the speed of the current is "c".

keeping in mind that, when the boat is going against the current, the boat is not really going at 2kmh, but instead at " 20 - c ", because the current is subtracting speed from it.

Likewise when is going with the current, is going at a speed of " 20 + c ".

if the boat took say "t" hours on the way over, on the way back it took the slack from the whole 8 hours and "t", namely it took " 8 - t " hours.

$\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{against the current}&20&20-c&t\\
\textit{with the current}&180&20+c&8-t
\end{array}
\\\\\\
\begin{cases}
20=(20-c)(t)\implies \frac{20}{20-c}=t\\
180=(20+c)(8-\stackrel{\downarrow }{t})\\
--------------\\
180=(20+c)\left( 8- \stackrel{\downarrow }{\frac{20}{20-c}}\right)
\end{cases}
\\\\\\
180=(20+c)\left( \cfrac{(160-8c)-20}{20-c} \right)$

$\bf 180=(20+c)\left( \cfrac{140-8c}{20-c} \right)\implies 180(20-c)=(20+c)(140-8c)
\\\\\\
3600c-180c=2800-160c+140c-8c^2
\\\\\\
3600c-180c=2800-20c-8c^2
\\\\\\
3600c-180c-2800+20c+8c^2=0\implies 8c^2-160c+800=0
\\\\\\
c^2-20c+100=0\implies (c-10)(c-10)=0\implies \boxed{c=10}$

8 0

3 years ago

Solve x^2=28 where x is a real number

Vadim26 [7]

5.291 to 2 d.p I think that is the answer.

7 0

3 years ago

Only 5-8 It’s Probability

andrey2020 [161]

For starters, the probability of finding any of these colors is a 50/50 type of thing, or in this case, an equal quarter. So each would be 1/4, or 25%. Unless, of course, they're lying about having one or more colors of marbles in their possession. But I'm answering under the assumption that they're not.

3 0

3 years ago