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4 years ago

Given mA+ mB=mB + mC prove mC= mA Write a paragraph proof to prove the statement

Mathematics

2 answers:

ra1l [238]4 years ago

8 0

Answer: So, you can subtract m_B from both sides to transform the equality into

m_A+ m_B=m_B + m_C \to m_A+ m_B-m_B=m_B + m_C-m_B \to m_A=m_C

as required.

Step-by-step explanation:

soldi70 [24.7K]4 years ago

4 0

As a property of equations, you can add or subtract the same quantity to/from both sides, and the truth value of the equality will remain the same: if you start with something true, e.g. 7=7 and add the same quantity to both sides, e.g. 7+4=7+4, you will still have something true, i.e. 11=11.

On the other hand, if you start with something false, e.g. 3=7 and add the same quantity to both sides, e.g. 3+6=7+6, you will still have something false, i.e. 9=13.

So, you can subtract $m_B$ from both sides to transform the equality into

$m_A+ m_B=m_B + m_C \to m_A+ m_B-m_B=m_B + m_C-m_B \to m_A=m_C$

as required.

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Question about decimals

meriva

Answer:

Both are terminating decimals

Step-by-step explanation:

<u>Answer to your questions:</u>

First of all, both A and B are correct and both quotients are terminating decimals.

To find out if the decimal is terminating or not, multiply the quotient by divisor. If you get exactly the same number as dividend, then it is terminating otherwise it is non-terminating.

The fraction may have greater numerator than denominator, in this case the quotient will be greater than one.
Now regarding simplification. You would be asked to give an answer rounded to some extend. One decimal place, two decimal places, 3 significant numbers etc. For the first operation you would get 34.8 (rounded to nearest tenth).
Or you may be asked to have a best estimated result. In this case you would round the initial numbers and find results. 205/714 ≈ 0.29

4 0

3 years ago

PLEASE IM DESPERATE<br> BRAINLIEST+THANKS***

Sloan [31]

ANSWER

Option B

and

Option D.

EXPLANATION

The graph of the function has an amplitude of 2 and a period of

$\frac{2\pi}{3}$

Choose all the equation that has an amplitude of 2 and a period of

$\frac{2\pi}{3}$

These are:

$y = 2 \sin3(x - \frac{2\pi}{3} )$

and

$y = 2 \sin(3x)$

The second and the last options are correct.

3 0

3 years ago

Read 2 more answers

1. A quadratic equation can have all of the following number of solutions except

mina [271]

You cannot have infinite solutions.

7 0

3 years ago

Someone please explain (:

GaryK [48]

Answer:

a.) 1.38 seconds

b.) 17.59ft

Step-by-step explanation:

h(t) = -16t^2 + 22.08t + 6

if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.

to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex

-b/2a

b=22.08

a=-16

-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds

now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.

h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.

approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.

for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.

7 0

3 years ago

Read 2 more answers

A 1,000 mL solution of acetic acid contains 26 mL of pure acetic acid. Find the percent concentration of this solution.

Mrac [35]

Given:

Total solution : 1000mL

Pure acetic acid = 26mL

To find:

The percent concentration of given solution.

Solution:

We know that,