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Olin [163]
1 year ago
9

Factorise fully -x-5

Mathematics
2 answers:
PSYCHO15rus [73]1 year ago
8 0
-x: -1 • x
-5: -5 • 1
liraira [26]1 year ago
7 0

The fully factorized version of  -x-5 is -1 \times (x+5).

What is Factorization?

Usually, factorization or factoring means writing a number (or another mathematical object) as a product of minor or more uncomplicated objects of the same kind.

Given -x-5 is a linear expression.

For factorizing, first, make the coefficient of x positive. For this take -1 common.

⇒ -x-5 = -1\times(x+5)

Now take the greatest common divisor (gcd) of absolute values of coefficients in x+5.

⇒ gcd(1,5) = 1.

Now take gcd 1 common in the expression.

⇒ -1\times1\times(x+5)

⇒ -1\times(x+5).

∴ The fully factorized version of -x-5 is -1\times(x+5).

Learn more about factorization here:

brainly.com/question/25829061

#SPJ2

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The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

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Step-by-step explanation:

Given:

Tangent plane to  a surface z=5x+2y-10 as the function at point (1,2)

To find :

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partial derivatives of function w.r.t. (x and y) and value of that function at given points.

Solution:(refer the attachment also)

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the equation of tangent plane at given points to the surface is given by,

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Fx(x1`,y1)=\frac{d}{dx} (5x+2y-10)

=5.

Then w.r.t y we get

Fy(x1,y1)=

\frac{d}{dy}(5x+2y-10)

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The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Using the Linearization or linear approximation we get

L(x,y)=f(x1,y1)+Fx(x,y)*(x-x1)+Fy(x,y)(y-y1)

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=5x+2y-10

Approximation at F(1.1,1.9)

=5(1.1)+2(1.9)-10

=5.5+3.8-10

=0.7

Approximation at points (1.1,1.9) is 0.7

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