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2 years ago

When you write a two column proof, the first thing in the reason column is always.....

Mathematics

1 answer:

Artemon [7]2 years ago

6 0

The first thing in the reason column of a two colum proof is always GIVEN as it always coincide with an established fact which has been stated in the question to be worked on.

Two colum proofs involves using a tabulated format in establishing a conjecture.

Statements or facts are written on one side and the reason why the statement is true is stated in the reason column which is on the opposite side.

Starting a two column proof usually involve stating the the assumptions which are given about the shape or geometry.

Since each statement made requires a reason, then the reason behind the first statement which is based on what is stated in the question is written as GIVEN.

THEREFORE, after the statement given in the question has been established, then other reasons such as distributive, Commutative and other reasons may be used to proof one's solution statement.

Learn more :brainly.com/question/22172471

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Apply the distributive property to create an equivalent expression.<br><br> (6m – 7). 4=

Savatey [412]

Answer: 24m-28

Step-by-step explanation:

According to the distributive property ,

$a(b+c) = ab+ac$

$(b+c)a = ba+ca$ , where a, b and c are any arbitrary expressions.

Given expression : $(6m-7)\cdot4$

By using distributive property , we have

$(6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28$

Hence, the required equivalent expression is 24m-28.

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3 years ago

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(SAT Prep) How many distinct triangles are for which the lengths of the sides are 5,9 and n, where n is an integer and 10

Nana76 [90]

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3 years ago

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charle [14.2K]

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Step-by-step explanation:

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In which case is it possible to create exactly one triangle with the given measures?

avanturin [10]

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3 years ago

Which of these statements is true for f(x)=(1/10)^x

lana66690 [7]

Step-by-step explanation:

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Analyzing option A)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Putting $x = 1$ in the function

$f\left(1\right)=\:\left(\frac{1}{10}\right)^1$

$f\left(1\right)=\:\left\frac{1}{10}\right$

So, it is TRUE that when $x = 1$ then the out put will be $f\left(1\right)=\:\left\frac{1}{10}\right$

Therefore, the statement that '' The graph contains $\left(1,\:\frac{1}{10}\right)$ '' is TRUE.

Analyzing option B)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The range of the function is the set of values of the dependent variable for which a function is defined.

$\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k$

$k=0$

$f\left(x\right)>0$

Thus,

$\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$