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2 years ago

Rewrite! Write an new and equivalent equation that is easier to solve

Mathematics

1 answer:

Marysya12 [62]2 years ago

6 0

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - an equation in a standard form

To do - simplify the equation so as to obtain an easier one

Since the equation provided isn't in it's general form , let's first convert it ~

General form of a Linear equation -

$\bold{ax + b = 0}$

The equation after getting converted will be as follows ~

$- 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}$

hope helpful ~

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2 years ago

Adding -34 is the same as subtracting what number?

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3 years ago

The ratio of two computers is 3:2.

serious [3.7K]

Answer:

1. $82,500

2. 169 : 110

Step-by-step explanation:

The computation is shown below:

Given that

1. Ratio between two computers is 3:2

And the first computer cost is $55,000

Let us assume the price of the second computer be x.

As we know that

Product of extremes = Product of mean.

2 : 3 :: 55000 : x .

Now cross mutiplication is to be done

2x = $55,000 × 3

x = $1,650,000 ÷ 2

= $82,500

2. Now if the price of the 2nd computer rised by $2,000

So the new cost would be

= $82,500 + $2,000

= $84,500

Now the ratio would be

= $55,000 : $84,500

= 169: 110

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3 years ago

So is anyone good at geometry ive posted this before but i was used for points i need help

SOVA2 [1]

Answers:
Reason 3: Definition of Parallelogram
Reason 4: Alternate Interior Angles Theorem
Reason 5: Reflexive Property of Congruence
Reason 6: ASA Congruence Property

------------------------------------------------------

Explanations:

Explanation for Reason 3: A parallelogram, by definition, has opposite sides that are parallel. It's built into the name more or less. Sides AB and CD are opposite one another in the parallelogram so they are parallel segments

Explanation for Reason 4: Angle ABD is congruent to angle CDB because they are alternate interior angles. They are on the inside of the "train tracks" that are formed by AB and CD. They lay on opposite sides of the transversal BD

Explanation for Reason 5: Any segment is congruent to itself; ie, the same length

Explanation for Reason 6: Using reasons 2,5 and 4, we can use ASA (angle side angle) to prove the two triangles ABD and CDB congruent. Reason 2 is the first "A" in ASA. Reason 5 is the S in ASA. Reason 4 is the other A in ASA. The side is between the two pairs of angles. See the attache image for a visual summary of how ASA is being used.

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3 years ago

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