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3 years ago

Tito solved this equation. Which properties did he use?

Mathematics

2 answers:

Vesnalui [34]3 years ago

7 0

Multiple properties of equation.

Oksi-84 [34.3K]3 years ago

4 0

Answer:

1. Distributive property

2. Addition property of equality

3. Multiplication property of equality.

Step-by-step explanation:

We are given the following information in the question.

An equation is solved using various properties. We have to tell the properties used.

The solving of the equation is done in the following manner:

$2(3x+5) = 22 + 5x - 3x\\\text{Using the distributive property: a(b+c) = ab + ac}\\6x + 10 = 22 + 5x - 3x\\6x + 10 = 22 + 2x\\\text{Using addition property of equality: If a = b then a+x = b + x}\\6x + 10 -2x = 22 + 2x -2x\\4x + 10 = 22\\\text{Using addition property of equality: If a = b then a+x = b + x}\\4x + 10 - 10 = 22-10\\4x = 12\\\text{Using multiplication property of equality: If a = b then ax = bx}\\\displaystyle\frac{4x}{34} = \frac{12}{4}\\\\x = 3$

Thus, the following properties were used:

1. Distributive property

2. Addition property of equality

3. Multiplication property of equality.

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2. The sum of two numbers is 30. Determine the two numbers if their product is a maximum.

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Answer:

X+y=30

X=30-y

Z=yx

Z=y(30-y)

D/dy

z=30–2y

At max 30–2y=0

2y=30 Y=15

Therefore x=15

Step-by-step explanation:

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3 years ago

Urgent!!!! The scores of a high school entrance exam are approximately normally distributed with a given mean Mu = 82.4 and stan

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Answer:95%

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3 years ago

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IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

gizmo_the_mogwai [7]

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

<h3>What is a Chord in Geometry?</h3>

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

<h3>What is the Congruent Chords Theorem?</h3>

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

Learn more about the congruent chords theorem on:

brainly.com/question/7511582

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2 years ago

Alex is creating an outdoor structure out of two 12 foot boards. The boards must have an angle of elevation

Whitepunk [10]

Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

h= 8 tan 40° = 6.71 ft

Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

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3 years ago

Matthew purchased a desk that was on sale for 45% off the orginal price of $480.If the sales tax was 8% (of the sale price), how

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Answer:

285.12

Step-by-step explanation:

discount amount = 45/100 x 480= 45x48/10

=216.0

price after discount= 480-216=264

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total money spent = 264+21.12=285.12

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3 years ago

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