1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katrin [286]
3 years ago
11

Write the equation of a line that is perpendicular to the given line that passes through the given point.

Mathematics
1 answer:
ipn [44]3 years ago
3 0
<h2>Answer:</h2>

First we must find the opposite-reciprocal of the original slope.

current slope: \frac{7}{3}

new slope: -\frac{3}{7}

Using the new slope and the given point, we will plug them into slope-intercept form and solve for b, the y-intercept.

9 = -\frac{3}{7}(-4) + b\\\\9 = \frac{12}{7} + b\\\\-\frac{51}{7} = b

The y-intercept is -\frac{51}{7}.

Now, we can write the formula for the new line.

Slope-intercept form: y = -\frac{3}{7}x - \frac{51}{7}

Point-slope form: y - 9 = -\frac{3}{7}(x + 4)

You might be interested in
An observational study determined that there is a strong correlation between eating breakfast and weight loss. Can it be determi
mylen [45]

A common misconception in statistics is confusing correlation with causation. If two events are correlated, it merely means that they share the same behaviour over time, but it doesn't imply in any way that those event are related by a common cause, or even worse, that one implies the other.

You can find several (even humorous) counter examples online. For example, if you plot the number of reported pirates assault against the global temperature in the last years, you'll se that temperature is rising (unfortunately...) while pirates are almost disappearing.

One could observe this strong negative correlation and claim that hotter climate has solved the pirate issue. Of course this is a joke, but it explains why you shouldn't confuse correlation with causation.

7 0
3 years ago
Help me plz!!!!! I have no ideia how to do this
BlackZzzverrR [31]

Answer:

<h2>x² = -3</h2>

Step-by-step explanation:

In algebra, the goal is always to isolate the variable, so its value can be determined.

<h3>Step 1: Subtract 21</h3>

7x² = -21

<h3>Step 2: Divide by 7</h3>

x² = -3

<h3>Step 3: Check</h3>

7(-3) + 21 = 0

0 = 0 ✔

<h3>Step 4: Answer</h3>

x² = -3

I'm always happy to help :)

4 0
4 years ago
What is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest
Paul [167]

Answer:

420 cm, 4.3 meters, 4600 mm, 0.04 km

Step-by-step explanation:

We can solve this by converting each to the same unit. I will be using meters.

0.04 km

1 km = 1000 meters

1000 meters / 1 km = 1

multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out

0.04 km * 1000 meters / 1 km = 40 meters

420 cm

100 cm = 1 meter

1 meter / 100 cm = 1

multiply 420 cm by this, keeping cm at the bottom so it crosses out

420 cm * 1 meter / 100 cm = 4.2 meters

4600 mm

1000 mm = 1 meter

1 meter / 1000 mm = 1

4600 mm * 1 meter / 1000 mm = 4.6 meters

Therefore, our order is

420 cm, 4.3 meters, 4600 mm, 0.04 km

6 0
2 years ago
a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip
7nadin3 [17]
Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.

7 0
3 years ago
Simplify each equation <br> (x^4)(x^2)
BartSMP [9]
Ok, so remember the exponentioal law that says
( x^{m} )(x^{n})=x^{m+n} so


( x^{4} )(x^{2})=x^{4+2}= x^{6}

answe ris x^6
5 0
3 years ago
Read 2 more answers
Other questions:
  • On Monday, the value of a stock decreased by 1/2 point. On Tuesday, the value increased by 3/4 point. On Wednesday, the value de
    6·2 answers
  • A triangle has sides with lengths of 12 miles, 12 miles, and 15 miles. Is it a right triangle?​
    14·1 answer
  • Find the surface area of the triangular prism.<br><br> please help!
    11·1 answer
  • Round 871,495 The nearest thousand
    12·2 answers
  • Rectangle ABCD has vertices at coordinates (0,8), (4,12), (12,4), and D, respectively. Which of the following correctly identifi
    12·1 answer
  • Principal = $800<br> Interest Rate = 3.5%<br> Time = 6 months<br> Find the interest earned.
    13·1 answer
  • Please, someone help? ​
    6·1 answer
  • What’s the answer to #3?
    14·1 answer
  • Help!!! algebra <br> test - exam
    10·2 answers
  • Diet coke is on offer at morrisons and sainsburys
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!