How to solve compound inequality

1 answer:

4 0

first, you separate it into two inequalities.then, you determine whether the answer should be a union of sets or an intersection of sets. lastly, solve both inequalities and graph :)

You might be interested in

The floor of the gazebo shown is a regular octagon. Each side of the floor is 8 feet, and the area is about 309 square feet. You

Nimfa-mama [501]

Answer:

Area: 3.7 ft²

Ratio: 73.14 : 1

Step-by-step explanation:

Perimeter of an octagon = 8*side

Replacing with perimeter = 7 ft:

7 = 8*side

side = 7/8 ft = 0.875 ft

that is, each side of the model is 7/8 ft length.

Area of an octagon = 2*(1 + √2)*side²

Area of an octagon = 2*(1 + √2)*(7/8)²

Area of an octagon = 3.7 ft²

Perimeter of real gazebo = 8*8 = 64 ft

Then, the ratio of the perimeters (in feet) of the real gazebo floor to the model gazebo floor is 64:0.875. Multiplying each term by 8/7, we get 73.14:1

8 0

3 years ago

Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′.

andreev551 [17]

When a triangle is rotated, it must be rotated through a center of rotation.

Assume the coordinate of LMN is

$\mathbf{L = (1,1)}$

$\mathbf{M = (1,7)}$

$\mathbf{N = (3,6)}$

The rule of 180-degree rotation is:

$\mathbf{(x,y) \to (-x,-y)}$

So, we have:

$\mathbf{L' = (-1,-1)}$

$\mathbf{M' = (-1,-7)}$

$\mathbf{N' = (-3,-6)}$

See attachment for the graphs of LMN and L'M'N

(a) Describe the transformation

When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'

(b) Lines LL' and MM'

The distance between point L and the center of origin is the same as the distance between point M' and the center of origin

Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin

(c) Line NN'

Line NN' will assume the same characteristics as lines LL' and MM'

Read more about transformations at:

brainly.com/question/11707700