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3 years ago

Choose the correct description of the graph of the compound inequality: (5 points)

Mathematics

1 answer:

skad [1K]3 years ago

4 0

Answer:

Step-by-step explanation:

Firstly,

≤ or ≥ means closed circle, and

< or > means open circle

Now, let's solve the compound inequality:

x - 1 ≤ 7

x ≤ 8

and

2x ≥ 22

x ≥ 11

This solution means "everything left of 8 (inclusive and closed circle)" and "everything right of 11 (inclusive and closed circle)"

Looking at the choices, D is right.

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Jed Sites

g100num [7]

Answer:

Option B: 3x + 3y - 3

Step-by-step explanation:

In an isosceles triangle, the two congruent sides are equal.

We are told the base is; x - y - 2 units

Now let each of the congruent sides be represented as A.

Thus the perimeter equation will be;

P = 2A + x - y - 2

Now, we are told that the perimeter is; 7x + 5y - 8 units

Thus;

7x + 5y - 8 = 2A + x - y - 2

Rearranging gives;

7x - x + 5y + y - 8 + 2 = 2A

2A = 6x + 6y - 6

Divide through by 2 to give;

A = 3x + 3y - 3 units

6 0

3 years ago

Please help i have no clue what to do <br> i suck at math

beks73 [17]

The first one is 63.9 and the second should be 116.1

3 0

3 years ago

A bicycle is made up of two basic geometric shapes. They are:

alex41 [277]

They are circle and triangle.

Best of luck in geometry

5 0

3 years ago

Read 2 more answers

During a 10-day period, the balance of Martas chexking account dropped $290. Write a division expression ro represent the change

LenKa [72]

I did x - 10 =290
+10 +10
-------------
x = 300 so they took $1.00 a day

8 0

3 years ago

On a coordinate plane, triangles P Q R and S T U are shown. Triangle P Q R has points (4, 4), (negative 2, 0), (negative 2, 4).

mamaluj [8]

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.

The distance between two points on the coordinate plane is given as:

$Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6$

In triangle STU:

$|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2$

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2

|PQ| / |ST| = 2√13 / √13 = 2

Hence:

|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

6 0

2 years ago

Read 2 more answers