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3 years ago

Find the scale factor of ABC to MNO.

Mathematics

1 answer:

timofeeve [1]3 years ago

5 0

Answer:

6/5

Step-by-step explanation:

The scale factor can be obtained by simply finding the ratio of the lenght of the side of one shape to the length of the same side of the other shape.

Thus, we can obtain the scale factor that will take us from △ABC to △MNO as illustrated below:

Original Length BC = 15 in

New Length NO = 18 in

Scale factor =?

Scale factor = New lenght NO / Original length BC

Scale factor = 18 / 15

Scale factor = 6/5

Therefore, the scale factor that will take us from △ABC to △MNO is 6/5.

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Find all values of the variable

labwork [276]

The values of x for which the rational expression is undefined are -6 and -8.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

$\rm f(x) = \dfrac{3x+20}{x^2+14x+48}$

As we know in the rational function denominator cannot be zero:

The values of x for which the rational expression is undefined.

x² + 14x + 48 = 0

$\rm x_{1,\:2}=\dfrac{-14\pm \sqrt{14^2-4\cdot \:1\cdot \:48}}{2\cdot \:1}$

$\rm x_1=\dfrac{-14+2}{2\cdot \:1},\:x_2=\dfrac{-14-2}{2\cdot \:1}$

x = -6, -8

Thus, the values of x for which the rational expression is undefined are -6 and -8.

Learn more about the function here:

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6 0

2 years ago

Label the vertices and state the Pythagorean Theorem for the following right triangle. Find x.

Ganezh [65]

Answer:

Pythagorean Theorem Statement is below.

Therefore the value of x is 9 m.

Step-by-step explanation:

Given:

Label the vertices as A , B , C shown in figure below such that

∠A = 90°

AC = Longer leg = 12 m

AB = Shorter leg = x

BC = Hypotenuse = 15 m

To Find:

x = ?

Solution:

Pythagorean Theorem :

Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".

Which can be Written as

$(\textrm{Hypotenuse})^{2} = (\textrm{One Side})^{2}+(\textrm{Other Side})^{2}$

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

i.e $(BC)^{2}=(AB)^{2}+(AC)^{2}$

Substituting the values AB ,AC, BC we get

$(15)^{2}=(x)^{2}+(12)^{2}\\(x)^{2}=225-144=81\\(x)^{2}=81\\Square\ Rooting\\x=\sqrt{81}=9\\x=9\ m$

Therefore the value of x is 9 m.

4 0

3 years ago

Which of the following would indicate the possible presence of multicollinearity in a regression analysis? a. A significant p-va

Iteru [2.4K]

Answer:

The answer is B - A high correlation between two or more independent variables.

Step-by-step explanation:

There are many factors that shows the possible presence of multicollinearity in a regression analysis. Multicollinearity occurs when independent variables in a regresssion model are correlated; the independent variables as their names implies is to be fully independent (on their own).

Based on the options; multicollinearity occurs when there is a high correlation between two or more independent variables.

6 0

3 years ago

Can someone help me on this with the steps? thanks!

soldi70 [24.7K]

Answer:

8h + 15 = 39

Step-by-step explanation:

The base fee is 15 so you shouldn't multiply the hours by it.

The question states 8 per hour which means that you should multiply the 8 by hours and add on the base fee which is 15.

8 0

3 years ago