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4 years ago

Points (0,0) and (3,3) lie on line k. What is the slope of the line perpendicular to k?

Mathematics

1 answer:

mixas84 [53]4 years ago

6 0

Answer:

-1

Step-by-step explanation:

(0, 0) and (3, 3)

To find slope:

3-0/3-0 = 3/3 = 1

Since it's looking for the perpendicular slope, you just do the opposite of 1.

Which is -1.

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-9b-6=-3b +48<br> Step by step

Travka [436]

Answer:

b = -9

Step-by-step explanation:

1. Move the variables to the left side. Be sure to change the terms (add/subtract)

-9b-6 = -3b+48

-9b+3b-6 = 48

2. Combine like terms.

-9b+3b-6 = 48

-6b = 48 + 6

3. Divide both sides by -6.

-6b = 54

b = -9

7 0

3 years ago

Read 2 more answers

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and

Nataly [62]

Let g and b represent the numbers of grandstand and bleacher tickets sold.
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold

Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25

1194 bleacher tickets were sold.

6 0

4 years ago

What are the values of a and b?

allochka39001 [22]

The answer is either going to be the second one or the last one I'm going to go to with the last one if it's not the last one is the second one I hope I'm right if I'm not please let me know or if I am let me know

7 0

3 years ago

Cami goes scuba diving. She descends 18 feet in 3 minutes. Which expressions represent the average rate at which Cami’s position

julsineya [31]

Answer:

6 ft/min

Step-by-step explanation:

Theres a neat trick to note; whenever you say per think of it as a fancy word for divide, because the label is always gonna be a/b (a per b)

Therefore,

the rate of feet per minute will be the feet divided by the minutes;

18 feet in 3 minutes = <u>18</u>/3 <u>ft</u>/min

Therefore the rate is 6 feet per minute.

<u>IF you need an explanation on what average rate implies:</u>

<em>Note; the word average is not prudent to answer as its extraneous, however if there was more data like "Cami descends 18 ft in 3 min and Nami descends 9 ft in 3 minutes; whats the average rate at which they descend" then you'd have to add the two rates up and divide by two.</em>

Hope this helps :)

7 0

3 years ago

Hello! Can someone please help me with this question ? I’ll mark brainly thanks ! :)

NikAS [45]

Answer:

$\Large\boxed{\text{Perpendicular Equation:} \ y = -\frac{2}{7}x + \frac{22}{7}}$

$\Large\boxed{\text{Parallel Equation:} \ y = \frac{7}{2}x -12}$

Step-by-step explanation:

In order to find the equations that are parallel/perpendicular to the line $y = \frac{7}{2}x - 4$ , we need to note a couple things about the relationships between lines and their parallel/perpendicular lines.

A) If a line is perpendicular to another, the slopes will be opposite reciprocals (for instance $-2$ and $\frac{1}{2}$ - multiplied, they equal -1.)
B) If a line is parallel to another, they will have the exact same slope.

<h2>Perpendicular:</h2>

We know that the slope of a perpendicular line will be the the opposite reciprocal of the line we're comparing it to.

Since the slope of our base line is $\frac{7}{2}$ , we can find the reciprocal, then the opposite of that.

Reciprocal of $\frac{7}{2} = \frac{2}{7}$
Opposite of $\frac{2}{7} = -\frac{2}{7}$

So the slope of this line will be $-\frac{2}{7}$ , making our equation $y = -\frac{2}{7}x+ b$

However, y-intercepts will not stay the same. In order to find this, we can substitute the point (4, 2) into our equation to solve for b.

$2 = -\frac{2}{7} \cdot 4 + b$
$2 = -\frac{8}{7} + b$
$b = 2+\frac{8}{7}$
$b = 2 \frac{8}{7}$
$b=\frac{22}{7}$

Now we know the y-intercept of this equation is $\frac{22}{7}$ . We can now finish off our equation of the line by substituting that in to what we already have, $y = -\frac{2}{7}x+ b$ .

$y = -\frac{2}{7}x+ \frac{22}{7}$

<h2>Parallel:</h2>

As mentioned earlier, parallel lines will have the exact same slope but not the same y-intercept. Since the slope of our original equation is $\frac{7}{2}$ , the slope for this one will also be $\frac{7}{2}$ .

So we now know the equation looks something like $y = \frac{7}{2}x + b$ .