How can you tell from the scale factor whether the original figure is enlarged or reduced?

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

8 0

If the scale factor is positive than it is enlarged, and if it is a negative number than it is being reduced.

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zhuklara [117]

If p = 2, insert the value of p.

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6 0

3 years ago

What is the inverse of the function?<br> f(x) = 1/3x-5

OlgaM077 [116]

Answer:

-1

f (x) = -3(x + 5)

Step-by-step explanation:

1) in f(x) = 1/3x-5, replace f(x)= with y= as follows: y = (1/3)x - 5

2) interchange x and y, obtaining: x = (1/3)y - 5

3) solve this result for y: (1/3)y = -x - 5, or -(x + 5). Next, multiply both sides by 3 to eliminate the fraction (1/3): y = -3(x + 5)

4) replace y with the symbol for "inverse of f(x);

-1

f (x) = -3(x + 5)

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3 years ago

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .