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3 years ago

11

Why is it necessary to apply inverse operations on both sides of the equals l sign when solving an equations

1 answer:

liraira [26]3 years ago

8 0

Take this example (cause it's easy to explain)

10+5x=15x

To solve it we have to minus five on both side. We have to do this because we need to isolate the variable (in this case x) on the one side so we can divide and solve.

You would -5x (inverse from positive 5) from both sides on this because whatever you do to one side you have to do to the others to make it equal. In this case the answer would be x=1 (again cause it's easy lol.)

I hope this helps you!

You might be interested in

you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15

pickupchik [31]

Use the exponential function of f(x)= 100x times (1.08)^2

7 0

3 years ago

Find the sum of each series, if it exists<br>91 + 85 + 79 + … + (29)

Natali [406]

Answer:

651.

Step-by-step explanation:

Note: In the given series it should be -29 instead of 29 because 29 cannot be a term of AP whose first term is 91 and common difference is -6.

Consider the given series is

$91+85+79+...+(-29)$

It is the sum of an AP. Here,

First term = 91

Common difference = 85 - 91 = -6

Last term = -29

nth term of an AP is

$a_n=a+(n-1)d$

where, a is first term and d is common difference.

$-29=91+(n-1)(-6)$

$-29-91=(n-1)(-6)$

$\dfrac{-120}{-6}=(n-1)$

$20=(n-1)$

$n=20+1=21$

Sum of AP is

$Sum=\dfrac{n}{2}[\text{First term + Last term}]$

$Sum=\dfrac{21}{2}[91+(-29)]$

$Sum=\dfrac{21}{2}[62]$

$Sum=651$

Therefore, the sum of given series is 651.

5 0

3 years ago

When the coordinates (1,1) (7,3) (8,0) and (2,-2) are joined which shape is formed ?

likoan [24]

Answer:

A rectangle.

Step-by-step explanation:

To graph the points find their pairs on a graph and leave a mark in so area. Eventually, it'll reveal the shape.

Hope this helps,

Davinia.

4 0

3 years ago

M2/n2 is equivalent to _____.

tankabanditka [31]

Answer:

$\frac{m^2}{n^2}$ is equivalent to $m^2 \cdot n^{-2}$

Step-by-step explanation:

Using exponent rules:

$a^{-n}=\frac{1}{a^n}$

Given the expression:

$\frac{m^2}{n^2}$

⇒ $\frac{m^2}{n^2} = m^2 \cdot \frac{1}{n^2}$

Apply the exponent rule, we have;

$m^2 \cdot n^{-2}$

Therefore, the given expression $\frac{m^2}{n^2}$ is equivalent to $m^2 \cdot n^{-2}$

8 0

3 years ago

Natalie walked 35 mile in 12 hour. How fast did she walk, in miles per hour?

timofeeve [1]

Answer:

almost 3 mph so I'm guessing (d) is the answer

Step-by-step explanation:

35 ÷ 12 = 2.9 miles per hour

5 0

2 years ago