How many different intergers can have the same absolute value

Mathematics

2 answers:

Lerok [7]3 years ago

8 0

Only two integers can have the same distance from 0, so 2

morpeh [17]3 years ago

8 0

Only two. Take any integer x. The integer with the same absolute value is -x. -10 and 10 have the same magnitude or absolute value

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According to the diagram below, which similarity statements are true? Check all that apply. A. ABD ~ BCD B. ABD ~ ADC C. ABC ~ A

DiKsa [7]

The answer:
ABC, ACD and BDC are right triangles that are similar

since the altitude of the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other, therefore the diagram shows the right triangle similarity theorem,

this means ABC ~ ACD ~ BDC

so the answer is

ABC ~ BDC

4 0

2 years ago

Ill mark brainlist plss help

postnew [5]

Answer:

nonvascular plants

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Help please asap

padilas [110]

These are 2 questions and 2 answers:

1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

Answer: 5x^2 -3x -14

Explanation:

You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.

I will show you how to factor that polynomial from zero:

1) given: 5x^2 - 3x - 14

2) multiply and divide by the leading coefficient =>

5 [5x^2 - 3x -14 ]
----------------------
 5

3) Enter the the factor 5 inside the parenthesis:

5.5x^2 - 5.3x - 5.14
--------------------------
 5

4) rearrange conviniently to show (5x) as a common factir of the first two terms

(5x)^2 - 3(5x) - 70
--------------------------
 5

5) factor the numerator using 5x as common term of the two binomials:

(5x ) ( 5x ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7) <---> two numbers that add up - 3 and their product is - 70

=>

(5x - 10)(5x + 7)
---------------------
 5

6) divide (5x - 10) by 5 => x - 2

7) factored expression

(x - 2) (5x + 7)

8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)

2. Question 2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

Answer: option C. (2x + 5)(3x - 4)

Explanation:

The procedure is the same of the question 1.

1) given: 6x^2 + 7x - 20

2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>

(6x)^2 + 7(6x) - 120
--------------------------
 6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:

(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)

=>

(6x + 15)(6x -8)
---------------------
 6

(6x + 15)(6x - 8)
---------------------- =
 3.2

(6x + 15) (6x - 8)
------------- . ------------ =
 3 2

(2x + 5)(3x - 4)

4) answer: option C. (2x + 5)(3x - 4)

6 0

2 years ago

6-3/4x+1/3=1/2x+5 what number can be used to get rid of all fractions

Yanka [14]

The number can be used to get rid of all fractions is 12

<h3>What number can be used to get rid of all fractions?</h3>

The equation is given as:

6 - 3/4x + 1/3 = 1/2x + 5

The denominator of the fractions are:

4, 3 and 2

The LCM of 4, 3 and 2 is 12

So, we have:

12 * [6 - 3/4x + 1/3] = 12 * [1/2x + 5]

Evaluate the products

72 - 9x + 12 = 6x + 60

Hence, the number can be used to get rid of all fractions is 12