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
dangina [55]
3 years ago
7

Show that if the point with coordinates (x,y) is equidistant from the point (2,0) and the line y=−4, then y=1/8(x-2)²-2.

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

The demonstration is showed below

Step-by-step explanation:

The distance betwenn two points is given by:

d = \sqrt{(x2-x1)^2+(y2-y1)^2}

If the point is equidistant from a point and a line, the distance must be equal. For the line let's select the point (x,-4), because the distance will be ortogonal, and is the small distance between a point and a line. So:

\sqrt{(x-2)^2+(y-0)^2}  = \sqrt{(x-x)^2+(y+4)^2}

Removing the squares:

(x-2)² + y² = (y+4)²

(x-2)² + y² = y² + 8y + 16

y² - y² - 8y = 16 - (x-2)²

8y = (x-2)² - 16

y = (1/8)*(x-2)² - 16/8

y = (1/8)*(x-2)² - 2

You might be interested in
If θ is an acute angle and sin θ = 2 1 , then cos θ =
ss7ja [257]
First of all i think theres a mistakein the question;
i think it is sin θ = \frac{1}{2}

and then sin 30° = \frac{1}{2}

thus θ= 30°\frac{ \sqrt{3} }{2}
3 0
3 years ago
HELP ME PLEASEE I WILL MARK BRAINLIEST
igor_vitrenko [27]

Answer: $21.6

Step-by-step explanation: you multiply 1.20 by 18

7 0
3 years ago
Read 2 more answers
Last question of my homework pls <3​
dimaraw [331]

Answer:

J(2, 5 )

Step-by-step explanation:

Using the section formula

x_{J} = \frac{1(-2)+2(4)}{2+1} = \frac{-2+8}{3} = \frac{6}{3} = 2

y_{J} = \frac{1(1)+2(7)}{2+1} = \frac{1+14}{3} = \frac{15}{3} = 5

Thus J = (2, 5 )

7 0
3 years ago
Find the slope of the line 4x-8y=15
Arisa [49]

Answer:

-1 \frac{7}{8}

Step-by-step explanation:

4x-8y=15

4x-8y-4x=15-4x

-8y=15-4x

-8y/-8=15-4x/-8

y=-1 7/8+1/2x

slope is -1 7/8

4 0
3 years ago
Estimate the sum of 487 and 310
Jobisdone [24]
500+300=800 hope this helped:)
8 0
3 years ago
Read 2 more answers
Other questions:
  • A computer was on a scale for 2/3 of the original price.If the original price was 900,what was the sale price
    15·1 answer
  • 5% of 8.72. 0.0436 0.436 4.36
    9·1 answer
  • Lucas jogged 13 mile in 4 minutes. He divided to find how far he jogged per minute, but he made a mistake. Which reason explains
    6·1 answer
  • Which graph shows the solution set of the compound inequality or 1.5x-1 > 6.5 or 7x+3 < -25 ?
    8·2 answers
  • Compare the x-intercepts for the two linear functions represented below.
    7·1 answer
  • The graph of f(x)=(c) is translated 6 units to the right and 2 units up to form a new function
    13·1 answer
  • PLEASE HELP DUE TODAY!! WILL GIVE BRAINLINESS!!
    11·1 answer
  • Question 9 of 10 Which of the following is most likely the next step in the series? OA. O B. O C. O D.​
    5·2 answers
  • What the measure of L is
    7·2 answers
  • Rosie Belin worked these total weekly hours in four weeks of work: 45, 38, 42, and 43. Her job pays $14 for each hour worked. Wh
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!