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Fittoniya [83]
3 years ago
8

Helppp this is mathh iready #6th grader plsssss which one??? math iready

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0
Bottom right is the correct answer
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Write the general equation for the circle that passes through the points (-1,2)(4,2)(-3,4)
Fed [463]

Answer:

x² + y² - 3x - 13y + 18 = 0

Step-by-step explanation:

Recall that the general equation of a circle looks something like this:

x² + y² + Ax + By + C = 0

substituting each of the points into the equation we get:

for (-1,2)

(-1)² + (2)² + A(-1) + B(2) + C = 0

1 + 4 -A+2B + C = 0

-A + 2B + C + 5 = 0 ------------ eq 1

for (4,2)

(4)² + (2)² + A(4) + B(2) + C = 0

16 + 4 + 4A + 2B + C = 0

4A + 2B + C + 20 = 0 ------------- eq 2

for (-3,4)

(-3)² + (4)² + A(-3) + B(4) + C = 0

9 + 16 -3A + 4B + C = 0

-3A + 4B + C + 25= 0 ----- eq 3

Now we have a system of equations with 3 equations and 3 unknowns.

Solving for A, B and C, we eventually get:

A = -3, B = -13, C = 18

Substituting these into the general equation:

x² + y² + Ax + By + C = 0

x² + y² - 3x - 13y + 18 = 0

6 0
4 years ago
A rectangle has a width of 9 km and a length of 6 km. How does the area change when each dimension is multiplied by 3?
Gnom [1K]

For this case we have that by definition the area of a rectangle is given by:

A = wl

Where

  • <em>w: width of the rectangle </em>
  • <em>l: length of the rectangle </em>

The area of the original rectangle is given by:

A1 = (9) (6)\\A1 = 54

The area of the new rectangle is given by:

A2 = (3 * 9) (3 * 6)\\A2 = 9 * (9) (6)\\A2 = 9 * 54\\A2 = 9 * A1

Therefore, the original area increases with a factor of 9.

Anwer:

the original area increases by a factor of 9.

A2 = 9 * A1

5 0
3 years ago
Read 2 more answers
Point AAA is at {(6, -6)}(6,−6)left parenthesis, 6, comma, minus, 6, right parenthesis and point CCC is at {(-6,-2)}(−6,−2)left
garik1379 [7]

Answer:

B(-3, -3)

Step-by-step explanation:

If a point O(x, y) divides line segment XY in the ratio of n:m and the endpoints of the segment are X(x_1,y_1)\ and\ Y(x_2,y_2), the coordinates of O is:

x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1

Given that A(6, -6) and C(-6, 2). Pont B is on AC such that:

AB = (3/4)AC

AB/AC = 3/4

Therefore point B divides the line AC in the ratio of 3:1. Let point B be at (x, y), therefore:

x=\frac{3}{3+1}(-6-6)+6=\frac{3}{4}(-12)+6=-9+6=-3\\ \\y=x=\frac{3}{3+1}(-2-(-6))-6=\frac{3}{4}(4)-6=3-6=-3

Therefore the location of B is at (-3, -3)

8 0
3 years ago
Convert these numbers into Scientific Notation
kicyunya [14]

Answer:

1000=1×10^3

98000=9.8×10^4

5 0
3 years ago
How many pairs of glasses can we make with the foil beads and how many foil beads will be left over ?
Dimas [21]

Answer:

I hate to break it, but you ain't giving any information or numbers

7 0
3 years ago
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