Given the data set (10,45) (25,70) (46,105) what equation represents line of best fit?

I'll. ark brainlyest and give a lot of points for answering this right

valina [46]

Answer:

$\displaystyle T'( 2,4)$

$\displaystyle U'( 1,1)$

$\displaystyle S' ( 3,2)$

Step-by-step explanation:

we current vertices of the given triangle

$\displaystyle T( - 2,4)$
$\displaystyle U( - 1,1)$
$\displaystyle S ( - 3,2)$

remember that,

$\rm\displaystyle(x,y) \xrightarrow{ \rm reflection \: over \: y - axis}( - x,y)$

so we obtain:

$\rm\displaystyle \: T( - 2,4) \xrightarrow{ \rm reflection \: over \: y - axis}T'( 2,4)$

$\rm\displaystyle \: U( - 1,1) \xrightarrow{ \rm reflection \: over \: y - axis}U' ( 1,1)$

$\rm\displaystyle S( - 3,2) \xrightarrow{ \rm reflection \: over \: y - axis}S'( 3,2)$

6 0

3 years ago

How to work vector algebra

erica [24]

Vectors and vector addition:

A scalar is a quantity like mass or temperature that only has a magnitude. On the other had, a vector is a mathematical object that has magnitude and direction. A line of given length and pointing along a given direction, such as an arrow, is the typical representation of a vector. Typical notation to designate a vector is a boldfaced character, a character with and arrow on it, or a character with a line under it (i.e., ). The magnitude of a vector is its length and is normally denoted by or A. Addition of two vectors is accomplished by laying the vectors head to tail in sequence to create a triangle such as is shown in the figure. The following rules apply in vector algebra.where P and Q are vectors and a is a scalar.

Unit vectors:

A unit vector is a vector of unit length. A unit vector is sometimes denoted by replacing the arrow on a vector with a "^" or just adding a "^" on a boldfaced character (i.e., ). Therefore, Any vector can be made into a unit vector by dividing it by its length. Any vector can be fully represented by providing its magnitude and a unit vector along its direction.

Base vectors and vector components:

Base vectors are a set of vectors selected as a base to represent all other vectors. The idea is to construct each vector from the addition of vectors along the base directions. For example, the vector in the figure can be written as the sum of the three vectors u1, u2, and u3, each along the direction of one of the base vectors e1, e2, and e3, so that Each one of the vectors u1, u2, and u3 is parallel to one of the base vectors and can be written as scalar multiple of that base. Let u1, u2, and u3 denote these scalar multipliers such that one has The original vector u can now be written as The scalar multipliers u1, u2, and u3 are known as the components of u in the base described by the base vectors e1, e2, and e3. If the base vectors are unit vectors, then the components represent the lengths, respectively, of the three vectors u1, u2, and u3. If the base vectors are unit vectors and are mutually orthogonal, then the base is known as an orthonormal, Euclidean, or Cartesian base.

A vector can be resolved along any two directions in a plane containing it. The figure shows how the parallelogram rule is used to construct vectors a and b that add up to c. In three dimensions, a vector can be resolved along any three non-coplanar lines. The figure shows how a vector can be resolved along the three directions by first finding a vector in the plane of two of the directions and then resolving this new vector along the two directions in the plane. When vectors are represented in terms of base vectors and components, addition of two vectors results in the addition of the components of the vectors.

8 0

3 years ago

Read 2 more answers

Marcus wants to use a model to determine the difference

grigory [225]

Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.

<h3>What was the basic principle of Marcus theory?</h3>

In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species.
Marcus' method (also referred to as Marcus's method and Method of Marcus) is a structural analysis method which was designed to design concrete slabs with rectangular, orthogonal shapes. It represents an adaptation of the strip method.
Marcus Hush theory (M-H theory) was developed in 1956 by Rudolph A. Marcus which explains the fundamentals of the redox/ electron transfer reactions in terms of the rate of jumping/moving an electron from oxidant species (electron donor) to the reductant (electron acceptor).
The "Marcus Inverted Region" (MIR) is that part of the function of rate constant versus free energy where a chemical reaction becomes slower as it becomes more exothermic.

We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

To learn more about Marcus refer to,

brainly.com/question/23140234

#SPJ1

8 0

1 year ago

Need help!!! will mark brainliest!!!!!!

irga5000 [103]

Answer:

right 1 unit and down 5 units

Step-by-step explanation:

5 0

3 years ago

Judy paid $10.48 for a number of

daser333 [38]

Answer:

Sei would get 8 washcloths

Step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

7 0

2 years ago

Read 2 more answers