Question 9(Multiple Choice Worth 1 points) (01.06 LC) Solve x -5y = 6 for x.

Pleeeeese help me as fast as you can!!!

Aleonysh [2.5K]

Answer:

A. $y=3x-10$

C. $y+6=3(x-15)$

Step-by-step explanation:

Given:

The given line is $6x+18y=5$

Express this in slope-intercept form $y=mx+b$ , where m is the slope and b is the y-intercept.

$6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}$

Therefore, the slope of the line is $m=-\frac{1}{3}$ .

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

$y=3x-10$

On comparing with the slope-intercept form, we get slope as $m_{A}=3$ .

Now, $m\times m_{A}=-\frac{1}{3}\times 3=-1$ . So, option A is perpendicular to the given line.

Option B:

For lines of the form $x=a$ , where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as $m_{C}=3$ .

Now, $m\times m_{C}=-\frac{1}{3}\times 3=-1$ . So, option C is perpendicular to the given line.

Option D:

$3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}$

On comparing with the slope-intercept form, we get slope as $m_{D}=-\frac{1}{3}$ .

Now, $m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}$ . So, option D is not perpendicular to the given line.

8 0

3 years ago

Which of the following lists of ordered pairs is a function?

Eduardwww [97]

To find if one is a function, you must see if the pattern is the same.
Domains (x) can not have two values
I forget what the y value is called, but there can be the same y- value for multiple x - values

A. is not a function, because its ordered pairs are all over the place, and the value 4 in the x - value has two values assigned - 0 and 3, which makes it invalid.

B. may be a linear function. Its ordered pairs aren't jumping all over the place.
Both the x and y go up one for one, so the function could be y = x + 3

C. isn't because the x - value 2 has two values. Again, that makes this invalid.

D. is invalid because there is two x - values for 2.

Therefore, the answer is B.

3 0

3 years ago

Read 2 more answers

Find the magnitude of the vectors {-4, 2} to the nearest tenth

Dimas [21]

$\bf \begin{array}{rllll}
\ \textless \ -4&,&2\ \textgreater \ \\
a&&b
\end{array}\implies 
\begin{array}{llll}
||\ \textless \ a,b\ \textgreater \ ||=\sqrt{a^2+b^2}\\\\
||\ \textless \ -4,2\ \textgreater \ ||=\sqrt{(-4)^2+2^2}
\end{array}$

5 0

3 years ago

La altura de una portería de futbol reglamentaria es de 2.4m y la distancia desde el punto de penalti hasta la raya de gol es de

mihalych1998 [28]

Answer:

11.06 meters

Step-by-step explanation:

Given that

The height of a regulation soccer goal is 2.4 meters

And, the distance is 10.8 meters

We need to find out the hypothesis

Here we applied the pythagoreans theorem

So,

= √ (2.4m) ^2 + (10.8 m) ^2

= √5.76 m^2 + 116.64m^2

h = 11.06 m

Hence, the hypothesis is 11.05 meters

3 0

2 years ago

What is the distance between (6,-7) (3,-5)

kaheart [24]

Answer:

4,684 km

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Question 9(Multiple Choice Worth 1 points) (01.06 LC) Solve x -5y = 6 for x.​

Question 9(Multiple Choice Worth 1 points) (01.06 LC) Solve x -5y = 6 for x.