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DaniilM [7]
4 years ago
11

If L and m are parallel and line m has a slope of 2/3 . What is the slope of line

Mathematics
1 answer:
aksik [14]4 years ago
3 0

Answer:

2/3

Step-by-step explanation:

Parallel  lines, slope is the same so if line m has a slope of 2/3 , the slope of line L is also 2/3

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An equivalent expression with a rational denominator is...
Whitepunk [10]

Given the expression,

(8x-56x^2)/(\sqrt{14x-2})

We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.

[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]

If we have (\sqrt{a})(\sqrt{a}), we will get \sqrt{a^2} by multiplying them. And \sqrt{a^2} = a.

So here in the problem, we will get,

[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)

Now in the numerator we have (8x-56x^2). We can check 8x is common there. we will take out -8x from it, we will get,

-8x(-1+7x)

-8x(7x-1)

And in the denominator we have 14x-2. We can check 2 is common there. If we take out 2 from it we will get,

2(7x-1)

So we can write the expression as

[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]

(7x-1) is common to the numerator and denominator both, if we cancel it we will get,

(-8x)(\sqrt{14x-2})/2

We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,

(-4x)(\sqrt{14x-2})

(-4x)(14x-2)^(1/2)

So we have got the required answer here.

The correct option is the last one.

4 0
3 years ago
Let T: Rn → Rn be an invertible linear transformation, and let S and U be functions from Rn into Rn such that
ipn [44]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

T: 1 \ R^n \to  1 \ R^n is invertible lines transformation

S[T(x)]=x \ and \ V[T(x)]=x \\\\t'x \  \varepsilon\ 1 R^n\\\\

T is invertiable linear transformation means that is  

T(x) =A x \\\\ where \\\\ A= n \times n \ \ matrix

and \ det(A) \neq 0 \ \ that \ is \ \ A^{-1} \ \ exists

Let

V \varepsilon\  a\  R^{n} \ consider \ \ u= A^{-1} v \varepsilon 1 R^n\\\\T(u)= A(A^{-1} v)=(A \ A^{-1}) \\\\ v= I_{n \times n} \cdot v = v

so,  

s[T(u)]=v[T(u)]\\\\s(v)=v(v) \ \  \forall \ \ v \ \ \varepsilon \ \ 1 R^n

7 0
3 years ago
Tolong bantu yaa :) <br> tanpa menggunakan alat hitung, tentukan <br> a. 102 × 98<br> b. 1003 × 97
emmasim [6.3K]
\boxed{a.)\ 102 X 98 = \ \ 9996} \\\\\boxed{ b.) 1003 X 97 =97291}
6 0
3 years ago
Three friends go to the local farmers marketing. Ashley spends $8.25. Natalie spends 4 times as much as Ashley. Patrick spends $
xenn [34]

Patrick spends $42.50

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$33 + 9.50 =

$42.50

6 0
3 years ago
Read 2 more answers
What’s is 17 subtract 75
Taya2010 [7]
-58 is your answer. 
17 - 75 = -58
I hope this helps!
6 0
3 years ago
Read 2 more answers
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