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3 years ago

How do you do this problem?? I'm very confused

Mathematics

1 answer:

Mamont248 [21]3 years ago

7 0

You have to multiply by the complex conjugate so that you can clear the radical from the denominator. Once you do the multiplication simplify the radical. There's still a common factor in -54, -18, & 75 so divide all those by 3.

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The length of the rectangle is 3cm greater than the width of the rectangle.If the area of the rectangle is 40 square cm,what is

IgorLugansk [536]

Answer:

length=8

width=5

Step-by-step explanation:

8 0

3 years ago

2. Given a directed line segment with endpoints A(3, 2) and B(6, 11), what is the point that

KATRIN_1 [288]

Answer:

The point of division is (5 , 8)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divides the line whose endpoints are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ at ratio $m_{1}:m_{2}$ , then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

- The directed line segment with endpoints A (3 , 2) and B (6 , 11)

- There is a point divides AB two-thirds from A to B

∵ The coordinates of the endpoints of the directed line segments

are A = (3 , 2) and B = (6 , 11)

∴ $(x_{1},y_{1})$ is (3 , 2)

∴ $(x_{2},y_{2})$ is (6 , 11)

∵ Point (x , y) divides AB two-thirds from A to B

- That means the distance from A to the point (x , y) is 2/3 from

the distance of the line AB, and the distance from the point (x , y)

to point B is 1/3 from the distance of the line AB

∴ $m_{1}:m_{2}$ = 2 : 1

∵ $x=\frac{(3)(1)+(6)(2)}{2+1}=\frac{3+12}{3}=\frac{15}{3}=5$

∴ The x-coordinate of the point of division is 5

∵ $y=\frac{(2)(1)+(11)(2)}{2+1}=\frac{2+22}{3}=\frac{24}{3}=8$

∴ The y-coordinate of the point of division is 8

∴ The point of division is (5 , 8)

6 0

3 years ago

A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental,

serious [3.7K]

15 + 4(h) = 27
27 - 15 = 12
12/4 = 12
Margie can rent the bicycle for 4 hours.

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3 years ago

Sandra owns a rectangular pice of farmland that is 2/3 miles wide and has an area 5/9 square mile what is the leght of sandras f

Rzqust [24]

Answer:

5/6 mile

Step-by-step explanation:

The formula for the area of a rectangle can be used with the given values to write an equation for the length of the farmland.

Here is the equation for the area of a rectangle.

A = LW . . . . . area is the product of length and width

When we fill in the area and width, we have ...

5/9 mi² = L(2/3 mi) . . . . . equation for the length of the farmland

Solving this equation gives ...

L = (5/9)/(2/3) mi . . . . . . . . divide by the coefficient of L

L = (5/9)/(6/9) mi = 5/6 mi . . . . . perform the division

The length of Sandra's farmland is 5/6 mile.

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1 year ago

X3 + 4x2 - 14x - 17/ X - 3

zlopas [31]

Answer:-54 i think or its 54 over x -3

Step-by-step explanation:

hope this helped you

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3 years ago