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3 years ago

Which 2 numbers have an absolute value of 5 ? Explain how yk

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

Let x be a real number.

If x>=0, then |x|=x.

If x<0, then |x|=-x.

Thus, for x=5 and x=-5, |5|=|-5|=5

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3, 9, 27, 81, . . . Use inductive reasoning to predict the next term in the sequence.

Alexandra [31]

Each number is multiplied by 3. 3x3=9, 9x3=27, and so forth. the answer is logically 243

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3 years ago

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6x−4=2(3x−2)

sashaice [31]

Answer:

0=0

Step-by-step explanation:

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3 years ago

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Factor the expression completely. 625x4 - 256y4

scoundrel [369]

Answer:

(625 • (x4)) - 28y4

54x4 - 28y4 3.1 Factoring: 625x4-256y4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 625 is the square of 25

Check : 256 is the square of 16

Check : x4 is the square of x2

Check : y4 is the square of y2

Factorization is : (25x2 + 16y2) • (25x2 - 16y2) 3.2 Factoring: 25x2 - 16y2

Check : 25 is the square of 5

Check : 16 is the square of 4

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (5x + 4y) • (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)

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3 years ago

If the dimensions of a rectangle are A plus 3b and A minus 3b what is the area of the rectangle

tresset_1 [31]

area=legnth times width

we notice this is a special case

(a+b)(a-b)=a^2-b^2

area=(a+3b)(a-3b)=a^2-9b^2

area=a^2-9b^2

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3 years ago

Answer this question to chick you knowledge

NemiM [27]

Answer:

8.5 Yards

Step-by-step explanation:

Pythagorean Theorem: $c = \sqrt{a^{2} +b^{2} }$

a = 6

b = 6

Therefore: $c = \sqrt{6^{2} +6^{2} }$ = 8.485

The path is 8.5 yards long

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3 years ago