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3 years ago

Define the opposite and the absolute value of 6

Mathematics

1 answer:

Archy [21]3 years ago

8 0

Hello :
the opposite is : -6
the absolute value is : 6

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1. The value of (301)^2 – (300)^2 is

Ganezh [65]

Answer:
(301)^2-(300)^2
it is in the form of
a^2-b^2=(a+b)(a-b)
so,
(301+300)(301-300)
(601)(1)=601

7 0

3 years ago

What is the slope of the line NP

Luba_88 [7]

Answer:

The slope of NP is $\frac{-5}{7}$ ⇒ B

Step-by-step explanation:

In any square, every two opposite sides are parallel and every two consecutive sides are perpendicular

Parallel lines have the same slope

The product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is $\frac{-1}{m}$ (reciprocal m and change its sign)

The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m = $\frac{y2-y1}{x2-x1}$

In square MNPR

∵ MN and NP are adjacent sides

∴ MN ⊥ NP

∵ M = (3, 8) and N = (-2, 1)

∴ x1 = 3 and y1 = 8

∴ x2 = -2 and y2 = 1

→ Use the rule of the slope above to find the slope of MN

∴ m(MN) = $\frac{1-8}{-2-3}$

∴ m(MN) = $\frac{-7}{-5}$

∴ m(MN) = $\frac{7}{5}$

∵ MN ⊥ NP

∴ The product of their slopes = -1

→ Reciprocal the slope of MN and change its sign

∴ m(NP) = $\frac{-5}{7}$

∴ The slope of NP is $\frac{-5}{7}$

8 0

2 years ago

If the sumof two numbers,n and m,is rational,which statement is true?

Nataly_w [17]

Option B:

Both n and m must be rational.

Solution:

Given information:

Sum of two numbers, n and m are rational.

To find which statements are true:

Option A: Both n and m may be rational but do not have to be.

It is not true because n and m given is rational.

It have to be rational.

Option B: Both n and m must be rational.

Yes, n and m must be rational then only the sum of numbers are rational.

It is true.

Option C: Both n and m must be irrational.

Sum of irrationals will be sometimes irrational and sometimes can't add.

So it is not true.

Option D: One number is rational and the other is irrational.

Rational and irrational cannot be add.

So it is not true.

Option B is true.

Both n and m must be rational.

5 0

2 years ago

1 . a sequence in which a fixed amount is added on to get the next term arithmetic sequence 2 . an individual quantity or number

Dmitry [639]

$T_n = a_1 + d(n-1)$

If a = 4 and d = 3,

$T_n = 4+ 3(n-1)$

$T_n = 4+ 3n-3$

$T_n = 3n + 1$

---------------------------------------------------------------------------------------
Answer: The general equation for the nth term is 3n + 1.
---------------------------------------------------------------------------------------

6 0

2 years ago

What is the value of f(x) = 2(0.75)^x when x=3

Nadusha1986 [10]

f(x) = 2(0.75)^x
at x = 3
>> f(3) = 2(0.75)^3
>> f(3) = 0.84375

6 0

3 years ago

Read 2 more answers