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2 years ago

Write an absolute value inequality for the graph below GRAPH ADDED. Please reply with correct answer 1/3

Mathematics

1 answer:

Mama L [17]2 years ago

3 0

The absolute value inequality for the graph is given as |x| < 4

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

The absolute value is given by:

|x - average| = distance to midpoint

From the graph:

x > -4 and x < 4

The midpoint is 0, hence Distance between -4 or 4 to midpoint (0) is 4

Average = (-4 + 4)/2 = 0

Hence:

|x - 0| = 4

|x| < 4

The absolute value inequality for the graph is given as |x| < 4

Find out more on equation at: brainly.com/question/2972832

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Please help me. its attached

liq [111]

Answer

5. ΔABC ≅ ΔDEF is true.

6. ΔABC ≅ ΔGHI is not true.

Step by step explanation

5. Find the lengths of the triangle ABC.

BC = 3

Use the distance formula to find the length of AB and AC

Distance formula = $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

Coordinates of A = (1, 4) and B = (2, 2).

Now plug in these values in to the distance formula.

AB = $\sqrt{(2 -1)^2 + (2 - 4)^2} \\$

AB = $\sqrt{(1)^1 + (-2)^2}$

AB = √1 + 4

AB = √5

Now let's find the length of AC.

A = (1, 4), C = (5, 2)

Use the distance formula and the length of AC.

AC = $\sqrt{(5 - 1)^2 +(2 - 4)^2}$

AC = $\sqrt{(4)^2 + (-2)^2}$

AC = √(16 + 4)

AC = √20

Now let's find the length of GI

G = (6, 6) and I = (8, 1)

Use the distance formula.

GI = √(2)^2 + (-5)^2

GI = √(4 + 25)

GI = √29.

The length of EF = 3, DE = √5, EF = √20

Now let's compare the two triangles ABC and DEF.

The sides of the triangle ABC is equal to the sides of the triangle DEF

By SSS property, ΔABC ≅ ΔDEF.

6) The side length of GI = √29 which is not equal to the side length of AC = √20.

Therefore, the ΔABC ≅ ΔGHI is not true.

Hope this will help you.

Thank you.

5 0

3 years ago

The volume of a _________ is equal to ___ the volume of a cylinder that has the same base and height. The formula for the volume

katrin2010 [14]

Answer:

cone, $\frac{1}{3}$ , $\frac{1}{3} \pi r^{2}h$ , $\pi r^{2}$ , base, h, height, same, $\frac{1}{3}$ , $\frac{1}{3}$ , 3

Step-by-step explanation:

The volume of a cone is equal to $\frac{1}{3}$ the volume of a cylinder that has the same base and height. The formula for the volume of a cone is $\frac{1}{3}\pi r^{2}h$ . stands for the area of the base and h is the height of the cone. Knowing this, we could quickly find the volume of a cone that has the same base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is $\frac{1}{3}$ the volume of a cylinder (with the same base and height), we would multiply 9* $\frac{1}{3}$ to obtain a volume of 3 cubic cm.