If A = (-2,3), what is ry-axis o D3(A)? A (-6,-9) B (9,-6) C (5,6) D (6,9)

What is the midpoint between -2-3i and 3+9i

Svetlanka [38]

Answer:

1/2 + 3i is the midpoint between -2-3i and 3+9i.

Step-by-step explanation:

Given the complex number

-2-3i

3+9i

The formula to find the midpoint of two complex number (a + bi) and (c + di) is:

$M=\frac{\left(a+c\right)}{2}+\frac{\left(b+d\right)i}{2}$

$M=\frac{\left(-2+3\right)}{2}+\frac{\left(-3+\left(9\right)\right)i}{2}$

$M=\frac{-2+3+\left(-3+9\right)i}{2}$

$M=\frac{1+6i}{2}$

$M=\frac{1}{2}+3i$

Therefore, 1/2 + 3i is the midpoint between -2-3i and 3+9i.

3 0

3 years ago

How find a ratio of the area of a circle and a square

ladessa [460]

Answer:

CIRCLE : CIRCLE

Ratio of area is the scale factor squared. So find the radii of the two circles, square both values, and simplify the ratio.

SQUARE : SQUARE

Ratio of area is the scale factor squared, So find the side lengths of the two squares, square both values, and simplify the ratio.

SQUARE : CIRCLE

Using the formulas A = s*s and A = pi*r^2, find the areas of the circle and the square. Then simplify the ratio.

5 0

1 year ago

Ms. Traynor’s class is taking a field trip to the zoo. The trip will cost 26$ for each student. There are 22 students in her cla

Minchanka [31]

Let’s estimate the students to 20 and the dollars to 25 so you would multiply 20 by 25 which equals 500 so $500 would be your answer

6 0

3 years ago

At the north campus of a performing arts schools, 10% of the students are music majors. At the south campus, 70% of the students

ad-work [718]

Answer:

10000

Step-by-step explanation:

3 0

2 years ago

C, G, and D are collinear. E, G, and F are also collinear. The two lines

Elodia [21]

Answer:

EG is 19 units

Step-by-step explanation:

Let us solve the question

∵ Lines CD and EF intersected at point G

∴ CD = CG + GD

∴ EF = EG + GF

∵ Line EF bisects line CD

→ That means G is the midpoint of CD

∴ CG = GD

∵ CG = 5x -1

∵ GD = 7x - 13

→ Equate them to find x

∴ 7x - 13 = 5x -1

→ Add 13 to both sides

∴ 7x -13 + 13 = 5x - 1 + 13

∴ 7x = 5x + 12

→ Subtract 5x from both sides

∴ 7x - 5x = 5x - 5x + 12

∴ 2x = 12

→ Divide both sides by 2

∴ $\frac{2x}{2}=\frac{12}{2}$

∴ x = 6

∵ EF = 6x - 4

→ Substitute x by 6 to find its length

∴ EF = 6(6) - 4 = 36 - 4

∴ EF = 32

∵ EF = EG + GF

∵ GF = 13

∴ 32 = EG + 13

→ Subtract 13 from both sides

∵ 32 - 13 = EG + 13 - 13

∴ 19 = EG

∴ EG = 19 units

7 0

2 years ago