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
IRISSAK [1]
3 years ago
9

Find the distance between the point P(0, 0) and the line y = −x + 4 using the distance formula

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Answer:

The distance between the point P(0, 0) and the line y = −x + 4 is 2\sqrt{2} units.

Step-by-step explanation:

Distance between the point (x_0,y_0) and the line ax+by+c=0 is

d=\dfrac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}

The given equation is

y=-x+4

Taking all terms on the left side.

x+y-4=0

The distance between the point (0,0) and the line x+y-4=0 is

d=\dfrac{|0+0-4|}{\sqrt{1^2+1^2}}

d=\dfrac{|-4|}{\sqrt{2}}

d=\dfrac{4}{\sqrt{2}}

Rationalize denominator.

d=\dfrac{4}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}

d=\dfrac{4\sqrt{2}}{2}

d=2\sqrt{2}

Therefore, the distance between the point P(0, 0) and the line y = −x + 4 is 2\sqrt{2} units.

You might be interested in
Find the difference (2m+3)-(7m-5)
weeeeeb [17]

Answer:

- 5m + 8

Step-by-step explanation:

Given:

(2m + 3) - (7m - 5)

If you want to find the differences between two values, it means you are to subtract

(2m + 3) - (7m - 5)

This means subtract (7m - 5) from

(2m + 3)

Step 1: Open parenthesis

(2m + 3) - (7m - 5)

= 2m + 3 - 7m + 5

Group like terms

= 2m - 7m + 3 + 5

= - 5m + 8

Or

= 8 - 5m

8 0
3 years ago
(please zoom / zoom out if needed to see question. (: )
Semmy [17]
A circle is 360° all the way around; therefore, if you divide an arc's<span> degree </span>measure<span> by 360°, you </span>find<span> the fraction of the circle's circumference that the </span>arc<span> makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you </span>get<span> the length along the </span>arc<span>.</span>
8 0
3 years ago
Solve for x.<br>3 - |8x-6I = 3<br><br>x= or x=
Ket [755]

Answer:

¾ = x

Step-by-step explanation:

Since 3 - 0 gives us the 3, we do this:

0 = -|8x - 6|

0 = -8x + 6 >> Distributive Property

-6 - 6

___________

-6 = -8x

__ ___

-8 -8

¾ = x

I am joyous to assist you anytime.

7 0
3 years ago
Can someone do this for me ill give you brainliest
Vladimir [108]
There is nothing ...
8 0
3 years ago
Read 2 more answers
Write a formula for the total cost, (T), in pence, of 2 cups of lemonade and 5 chocolate bars.
Mandarinka [93]
2 lemonades: 2(l)
5 chocolate bars: 5(c)
T= 2l + 5
5 0
2 years ago
Other questions:
  • WILL MAKE U BRAINLIEST!!!!!!
    8·2 answers
  • The system of equations y=-3x+1/2 and y= 1/5x-1 and 4/5 is shown on the graph below. What is a reasonable estimate for the solut
    8·2 answers
  • A company lost 1000,000 over 100 days and then lost another 583,684 over the next 390 days. What was the company's average loss
    6·1 answer
  • 10 times as many as 1 hundred is ---- hundreds or -------- thousand
    8·1 answer
  • Out of 32 students in Mr, Martins class 18 are boys . If this ratio is proportional
    14·1 answer
  • Ribbon A is 1/3 m long. It is 2/5 m shorter than Ribbon B. What's the total length of the two ribbons?
    13·2 answers
  • Sara had 27 peaches and 11 pears left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up t
    6·2 answers
  • 3. Lines of symmetry divide figures into two equal parts.<br> True<br> False
    12·1 answer
  • Please help, due tomorrow. Will give brainlist
    11·2 answers
  • Help me pls I need to get my grade up before July 11th so help ASAP​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!