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3 years ago

What is the justification for each step taken from line 2 to line 3?

Mathematics

2 answers:

matrenka [14]3 years ago

7 0

2x was subtracted from both sides.

A. Subtraction Property of Equality

ElenaW [278]3 years ago

6 0

the answer is A

hope it helps

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How do you solve substitution problems in Pre Algebra

Rus_ich [418]

You multiply both of the equations until you have two of the same term the same like for example, say I have 4x and 5x. You want to multiply until both have the same number, so multiply 5x by four, then multiply 4x by five, and you will get 20x, then both of those cancel out and you will be left with the other variable, and you just solve like a normal equation.

4 0

3 years ago

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triangle MNO is an equilateral triangle with sides measuring 16 units What is the height of the triangle?

fiasKO [112]

see the attached figure to better understand the problem

we know that

The equilateral triangle has three equal sides

in the equilateral triangle ABC

$AB=BC=AC=16 units$

the height of the triangle is the segment BD

in the right triangle BCD

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

solve for BD

$BD^{2}=BC^{2}-DC^{2}$

substitute the values

$BD^{2}=16^{2}-8^{2}$

$BD^{2}=192$

$BD=\sqrt{192}\ units$

therefore

<u>the answer is</u>

the height of the triangle is $\sqrt{192}\ units$

7 0

3 years ago

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Find a rational and irrational number between 9.5 and 9.7.

pshichka [43]

So we know that it must be between 9.5 9.7.. So it has to be 9.56763865854637984... (rounded 9.57) it is irrational because it has no pattern.

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3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the graph of the function f(x)=I

Olin [163]

The matching of each transformed function is as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

<h3>How to match transformations?</h3>

A function is simply defined as a relationship between the inputs and the outputs. Now, we want to map each transformed function.

From the graph of this question as shown in the attached brainly link, the correct matching of each transformation of function f(x) = In x with a feature of the transformed function are as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

Read more about Transformations at; brainly.com/question/21515360

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1 year ago

Add and SImplify<br> (x+2)/(x) + (x-3)/(x+2)

Jlenok [28]

(x+2)/(x) + (x-3)/(x+2)

Common denominator x(x+2)

Reduce both to common denominator:
x+2)/[x(x+2)] + (x-3)/[x(x+2)] ===> [(x+2)² + (x-3)] / [x(x+2)]
= [x²+4x+4+x-3] / [x(x+2)]
=[x²+54x+1] / [x(x+2)]

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3 years ago