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3 years ago

A blueprint has a scale of 2 inches = 2 feet. What is the scale factor of the blueprint?

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

1 in = 1 ft

there are 12 inches in a foot...

you could say that 1 inch = 12 inches, or that the scale is 1:12

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

Help me find the range of this function please

lara31 [8.8K]

Answer:

{-2, -14, -26, -50}

Step-by-step explanation:

The range of the function is the function evaluated at each point of the given domain. So to find the range of the function we need to find the value of the function for each point in the domain:

- For x = -8

$f(x)=-2x-18$

$f(-8)=-2(-8)-18$

$f(-8)=16-18$

$f(-8)=-2$

The first value of the range of the function is -2

- For x = -2

$f(x)=-2x-18$

$f(-2)=-2(-2)-18$

$f(-2)=4-18$

$f(-2)=-14$

The second value of the range is -14

- For x = 4

$f(x)=-2x-18$

$f(4)=-2(4)-18$

$f(4)=-8-18$

$f(4)=-26$

Th third values of the range is -26

- For x = 16

$f(x)=-2x-18$

$f(16)=-2(16)-18$

$f(16)=-32-18$

$f(16)=-50$

The fourth and last value of the range is -50

Now we can put all the values of the range together

The range of the function is {-2, -14, -26, -50}

8 0

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 $x^{2} +y^{2} +z^{2} =r^{2}$ .