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
Scilla [17]
3 years ago
6

Use the distance formula from today’s lesson to find the distance between the point P(−2, 1) and the line y = 2x.

Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer:

Distance from the point to the line will be \sqrt{5}m

Step-by-step explanation:

We have given the equation of the line is y = 2x\

So the equation of line will be y-2x = 0

Point from which we have to find the distance is (-2,1)

Distance from a point to line is given by d=\frac{Ax+By+C}{\sqrt{A^2+B^2}} , here A = -2 , B = 1 and C = 0

And point x = -2 and y = 1

So d=\frac{-2\times -2+1\times 1+0}{\sqrt{(-2)^2+1^2}}=\sqrt{5}m

So distance from the point to the line will be \sqrt{5}m

You might be interested in
Find the sum of all positive odd integers less than 300​
11Alexandr11 [23.1K]
The answer is 29 is the sum
7 0
3 years ago
At the start of the 2014 Lucy's house was worth 200,000.The value of the house increased by 3% every year. What is the value of
zhenek [66]

Answer:

$182534.5

Step-by-step explanation:

Step one:

given data

In 2014 Lucy's house was worth 200,000

The value of the house increased by 3% every year

Time period = 3 years

Step two:

let us find the value after 3 years

Year one

value= 200000- 0.03*200000

value= 200000-6000

value= 194000

Year two

value= 194000- 0.03*194000

value= 194000-5820

value= 188180

Year three

value= 188180- 0.03*188180

value= 188180-5645.4

value= $182534.5

5 0
2 years ago
Which group contains triangles that are all similar?
torisob [31]

Answer:

Triangles represented by option B are similar triangles.

Step-by-step explanation:

Please find the attachment.

We have been given 4 group of triangles and we are asked to find which group contains similar triangles.

A. We can see from our diagram that triangles provided in option A are not similar.

The first triangle is an isosceles right triangle as it has 2 angles each having measure 45 degrees. By angle sum property the measure of 3rd angle will be:

180^o-(45^o+45^o)=180^o-90^o=90^o

The second triangle is an equilateral triangle as all the sides equal to 7 units, so all angles will be equal to 60 degrees.

The 3rd triangle is an isosceles triangle as  it has 2 angles each having measure 53 degrees. By angle sum property the measure of 3rd angle will be:

180^o-(53^o+53^o)=180^o-106^o=74^o

We can see that none of the triangles have same angle measures, therefore, option A is not a correct choice.

B. The triangles provided in option B are similar triangles as each triangle have one right angle and they are sharing the same vertex.

Let us assume that the common vertex has x degrees angle, then by angle sum property the measure of 3rd angle in each triangle will be 180-90-x=90-x degrees. Therefore, the triangles provided in option B are similar triangles by AAA similarity theorem.

C. The triangles provided in option C are not similar triangles as we are not told that the given lines are parallel or not. In addition the bottom figure is a quadrilateral as it has 4 angles, Therefore, the given triangles are not similar triangles.

D. We can see that our given triangles have vertical angles, so their measure will be 32 degrees. Since the given side lengths are different, therefore, this group of triangles is not similar.

5 0
3 years ago
Read 2 more answers
Which of the following formulas would find the lateral area of a right cylinder
zmey [24]

Answer:

2πrh unit^2.

Step-by-step explanation:

The lateral area is  the circumference of the base * the height =  2πrh.

6 0
2 years ago
When 6x² - 4x+3 is subtracted<br> from 3x²–2x+3, the result<br> is
mr_godi [17]
Let's subtract then: 3x2 - 2x + 3 - (6x2 - 4x + 3)

taking out of the bracket with a changed sign: (there is a minus in front of the bracket)

3x2 - 2x + 3 - 6x2 + 4x - 3
let's reshuffle them so that similar terms are together:
3x2 - 6x2 - 2x + 4x + 3  - 3

Adding up similar terms:

-3x2 + 2x - that's our option 2!


4 0
3 years ago
Other questions:
  • If f(x) = 3 -3 and g(x) = 3x2 + x – 6, find (f + g)(x).
    11·1 answer
  • Noriko and her friends make 26 pints of lemonade to sell at the fundraiser. which operation will noriko use to find how many cup
    5·1 answer
  • Solve the inequality:<br><br> −1&lt;|2 x − 3|&lt;7
    14·1 answer
  • Patrice gomez has been pricing speed pass train fares for a family trip to los angeles.Three adults and four children have to pa
    5·1 answer
  • Find the missing number: 32, ?, 104, 152, 208
    13·1 answer
  • How does writing an equation help you solve a problem.
    6·2 answers
  • A car sells for $19,299 with the tax title and license and any other fees included in that price in order to get that price 17%
    7·1 answer
  • A researcher decides to find out whether giving students positive
    7·1 answer
  • Question 5 (1 point)
    15·1 answer
  • 2(x -1) + 1/2 (4x + 6)=5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!