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2 years ago

The square of a difference of numbers is the different of their squares?

Mathematics

1 answer:

MatroZZZ [7]2 years ago

7 0

Answer:

Sometimes true

Step-by-step explanation:

This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.

For every other number combo this is untrue.

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Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements a

Anni [7]

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d) Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

4 0

3 years ago

For the standard form of two billion three Hundred fifty thousand four Danielle wrote 2,350,400,000 what error did she make what

Leona [35]

I believe the correct answer is 2,300,500,004

7 0

3 years ago

Planes Q and R are parallel. Lines a and b are shown on planes Q and R, respectively. Which statement is true about lines a and

blondinia [14]

You haven't included a picture of the diagram or the statements!

3 0

3 years ago

Read 2 more answers

SIMPLIFY THE EXPRESSION

ankoles [38]

Answer:

Step-by-step explanation:

when you have the same bases but different exponents, for example (X ^ 3 / X ^ 1) = (X ^ 2) this should be the same in the problem for each one with (r, s, t)

8 0

3 years ago

Please help solve 1, and 2

Vadim26 [7]

Answer:

Step-by-step explanation:

1). WXYZ is a rectangle,

Properties of a rectangle,

i). Opposite sides are equal and parallel.

ii). All interior angles measure 90°.

iii). Diagonals are equal in measure.

a). WY = ZX = 30

Therefore, ZT = $\frac{1}{2}(ZX)$

$ZT=15$

b). WY = ZX = 45

c). Since, WY = ZX,

(4b - 16) = (3b + 5)

4b - 3b = 16 + 5

b = 21

2). GOAT is a rhombus and m∠OGA = 35°,

a). m∠TGA = m∠OGA = 35°

b). m∠GXO = 90°

c). m∠GXT = 90°

d). Since adjacent angles of a rhombus are supplementary,

m∠OGT + m∠GTA = 180°

70° + m∠GTA = 180°

m∠GTA = 110°

m∠GTO = $\frac{1}{2}(m\angle GTA)$

= $\frac{1}{2}(110^{\circ})$

= 55°

e). Since, opposite angles of a rhombus are equal,

m∠OGT = m∠OAT = 70°

f). m∠GOA = m∠GTA = 110°

7 0

3 years ago

The square of a difference of numbers is the different of their squares￼￼￼?

The square of a difference of numbers is the different of their squares?