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charle [14.2K]
3 years ago
9

Calculate the distance between the points E=(2,-9) and J=(8,-1) in the coordinate plane

Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer:

10

Step-by-step explanation:

The distance formula is long and complicated so I really don't feel like typing it up. The answer is 10 units.

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Choose the equation of a circle with radius 6 and center (2, -3).
Rufina [12.5K]

Answer:  (x-2)^2 + (y+3)^2 = 36\\\\

Work Shown:

(x-h)^2 + (y-k)^2 = r^2\\\\(x-2)^2 + (y-(-3))^2 = 6^2\\\\(x-2)^2 + (y+3)^2 = 36\\\\

Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in (x-h)^2 + (y-k)^2 = r^2\\\\ form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).

3 0
2 years ago
Video games sold: x
Nata [24]

Answer:

<u>The correct answer is D. 53x - 12</u>

Step-by-step explanation:

Let's find P(x), this way:

Profits = Revenue - Cost

Profit function = Revenue function - Cost function

P (x) = R (x) - C (x)

Replacing with the real values we have:

P (x) = 60x - (12 + 7x)

P (x) = 60x - 12 - 7x

P (x) = 53x - 12

<u>The correct answer is D. 53x - 12</u>

6 0
3 years ago
Triangle ABC has vertices A (1,1), B (3,2) and C (0,-2), It is dilated by a scale factor of 1/2 about the origin to create trian
Ghella [55]

Answer:

The length is 2.5 units

Step-by-step explanation:

Before we find the value of the length of the side, we need the measure of the coordinates after dilation

B’ = 1/2 B = 1/2(3,2) = (1.5, 1)

C’ = 1/2 C = 1/2( 0,-2) = (0,-1)

The measure of the length is the distance between the two points

Mathematically, that would be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(0-1.5)^2 + (-1-1)^2

D = √(2.25 + 4)

D = √6.25

D = 2.5 units

8 0
3 years ago
20 POINTS! TTM
g100num [7]

A relation is (also) a function if every input x is mapped to a unique output y.

In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:

  1. The first graph is exactly a vertical line, so it's not a function.
  2. The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
  3. The third graph is not a function, because you can draw vertical lines that cross the graph twice.
  4. Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
  5. The fifth graph is a function, because every vertical line crosses the graph once
  6. The last graph is a function, although discontinuous, for the same reason.
8 0
3 years ago
Read 2 more answers
2x+3y=-12<br> 2x+t=-16<br> X=. Y=<br> Help plz
8090 [49]

<u>To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.</u>

Answer:

<em>x = -9</em>

<em>y = 2</em>

Step-by-step explanation:

<u>Solve the system:</u>

2x + 3y = -12       [1]

2x + y = -16       [2]

Subtracting [1] and [2]:

3y - y = -12 + 16

2y = 4

y = 4/2 = 2

From [1]:

2x + 3(2) = -12

2x + 6 = -12

2x = -18

x = -18/2 = -9

Solution:

x = -9

y = 2

8 0
3 years ago
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