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4vir4ik [10]
3 years ago
15

Can someone help me please

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

Answer:

yes what would u like help with

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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.
harkovskaia [24]

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

6 0
3 years ago
Can two fractions with the same numerator and different denominators can be equal.
mel-nik [20]

Nope!

They cannot be equal if they have the same numerator but different denominators. they need to be able to reduce into the same number

8 0
3 years ago
The route that Verlonda takes from her house to a store is represented on the grid below. Which ordered pair represents a point
Vadim26 [7]

Answer:

(3.8)

Step-by-step explanation:

Given

See attachment for grid

Required

Which point is on Veronica's path

On the attached grid, I plotted each of the coordinate pair (i.e the given options, A to D) on the grid.

By observation. we can see that:

A is on the vertical line (y intercept)

B is on the second quadrant

C is just few points to the left of the given path

D represents Verlonda's house

<em>Hence, the required coordinate pair is: (3.8)</em>

8 0
3 years ago
Question is in the picture, please help me
gregori [183]

Answer:

12.56 units

Step-by-step explanation:

C=pid

C = 3.14(4)

C = 12.56

7 0
3 years ago
In 7 hours, Tony reads 42 chapters of a book,<br> What is his rate in chapters per hour?
Sophie [7]

Answer:

6 chapters/hour

Step-by-step explanation:

42/7=6

8 0
3 years ago
Read 2 more answers
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