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mixer [17]
3 years ago
6

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.

You might be interested in
Which of the following trigonometric expressions is equivalent to csc(-112°)? csc(68°)
Romashka-Z-Leto [24]

Answer:

csc(-112°)=-csc(68°)

Step-by-step explanation:

Since cosec(x) and sin(x) are reciprocals of each other,

cosec(-112°)=\frac{1}{sin(-112^{\circ})}

                  =\frac{1}{-sin(112^{\circ})}

                 =\frac{1}{-sin(180^{\circ}-68^{\circ})}     (since 112=180-68)

                 =\frac{1}{-sin(68^{\circ})}              (since sin(180-x)=sinx)

                 =\frac{-1}{sin(68^{\circ})}               (since \frac{a}{-b}= \frac{-a}{b})

                 =-cosec(68°)

4 0
3 years ago
Read 2 more answers
Find the height of a right square pyramid that has a rectangular base area of 70 square units and a volume of 140 cubic units.
Lostsunrise [7]

Answer:

B. 6 units

Step-by-step explanation:

V =  {a}^{2} \frac{h}{3} \\  \\ 140  = 70( \frac{h}{3}) \\  \\ 6 = h \\  \\ 140 = 70(2)

I am joyous to assist you anytime.

5 0
3 years ago
If X - A = B, what is X?
sineoko [7]

Answer:

x=a+b

Step-by-step explanation:

Just move a to the other side (by adding it)

6 0
2 years ago
Read 2 more answers
Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

#SPJ1

7 0
1 year ago
How many edges does a rectangle prism have?
creativ13 [48]

the answer to your question there would be 12

4 0
3 years ago
Read 2 more answers
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