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4 years ago

When sohring the equation, which is the best first step to begin to simplify the equation?

Mathematics

1 answer:

Leno4ka [110]4 years ago

7 0

Answer:

see below

Step-by-step explanation:

-2(x+3)=-10

There are two ways to approach solving this problem

1. You can distribute -2 to each term in the parentheses

-2x -6 = -10

Divide each side by -2

2. -2(x+3)=-10

-2/ -2 (x+3) = -10/-2

x+3 = 5

They will both result in the same answer at the end

You might be interested in

How to simplify expressions

Volgvan

You gather the like terms together.
if you have -3y +2x +6w -4 + 3y -5x +2w

you put the like terms together
so for the term y:

you have -3y +3y = 0

for x:

2x - 5x = -2x

for w:

6w + 2w = +8w

and you also had -4. if you put them together you get

0 -2x +8w -4
which is

-2x +8w -4

hope this helps

8 0

4 years ago

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately h

strojnjashka [21]

Answer:

Step-by-step explanation:

If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.

Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:

h = $\sqrt{10^2-4^2} =\sqrt{84}$ ≈ 9.2 feet

The answer is C.

7 0

3 years ago

Read 2 more answers

Whats the answer??? Pleaseeee!!!!

kvasek [131]

To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.

The common difference is the number that we are adding or subtracting to reach the next term in the sequence.

Notice that the difference between 15 and 12 is 3.

In other words, 12 + 3 = 15.

That 3 that we are adding is our common difference.

So we know that our first term is 12.

Now we can continue the sequence.

12 ⇒ 1st term

15 ⇒ 2nd term

18 ⇒ 3rd term

21 ⇒ 4th term

24 ⇒ 5th term

27 ⇒ 6th term

30 ⇒ 7th term

33 ⇒ 8th term

36 ⇒ 9th term

39 ⇒ 10th term

42 ⇒ 11th term

45 ⇒ 12th term

48 ⇒ 13th term

51 ⇒ 14th term

54 ⇒ 15th term

57 ⇒ 16th term

60 ⇒ 17th term

63 ⇒ 18th term

66 ⇒ 19th term

69 ⇒ 20th term

This means that the 20th term of this arithemtic sequence is 69.

5 0

4 years ago

You are saving money to buy an electric guitar. You deposit $1000 in an account that earns interest compounded annually. The exp

Katena32 [7]

Let's move like a crab, backwards some.

after 2 years?

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &2
\end{cases}
\\\\\\
A=1000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=1000(1.03)^2$

after 3 years?

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &3
\end{cases}
\\\\\\
A=1000\left(1+\frac{0.03}{1}\right)^{1\cdot 3}\implies A=1000(1.03)^3$

is that enough to pay the $1100?

now, let's write 1000(1+r)² in standard form

1000( 1² + 2r + r²)

1000(1 + 2r + r²)

1000 + 2000r + 1000r²

1000r² + 2000r + 1000 <---- standard form.

8 0

3 years ago

6 - 2y + (-8y) + 5.1 = 0 (Simplify your answer. Use integers

Nadusha1986 [10]

Answer:

Simplified answer = 11.1 - 10y = 0

y = 1.11

Step-by-step explanation:

6 - 2y + (-8y) + 5.1 = 0

6 + 5.1 -2y -8y = 0

Add like terms

11.1 - 10y = 0

(This is simplified, but if you want to solve for y, continue)

11.1 - 10y = 0

÷10 ÷10

1.11 - y = 0

y = 1.11 because 1.11 - 1.11 is 0

I Hope That This Helps!

8 0

3 years ago