All categories

3 years ago

Simplify: 2{10-5+x[1+3(6-2)]}

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer:

10+26x

Step-by-step explanation:

To solve this, work your way from the inner most parentheses to the outer most:

The inner most parentheses is around 6-2, meaning you solve this first. When you solve this, you get 4.
The second most inner parentheses is around (1+3 times 4) using PEMDAS, you first solve the multiplication, and then add. Once you solve this, you get 13.
Next, the outer most parentheses is around (10-5+13x). When you simplify this, you get 5+13x
Finally, you multiply 2(5+13x). Using distributive property, you get 10+26x as your final simplified answer.

You might be interested in

Use your understanding of the unit circle and trigonometric functions to find the values requested.

vfiekz [6]

Answer:

a) For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

b) From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

Part b

From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

6 0

3 years ago

Evaluate k to the 6th power times p to the -7 power when k is 2 and p is -1

Solnce55 [7]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad a^n\implies \cfrac{1}{a^{-n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
k^6p^{-7}~~
\begin{cases}
k=2\\
p=-1
\end{cases}\implies (2)^6(-1)^{-7}\implies \cfrac{2^6}{(-1)^7}\implies \cfrac{64}{-1}\implies -64$

7 0

3 years ago

Find x can someone plz help me

Nadusha1986 [10]

Answer:

x=8

Step-by-step explanation:

6 0

3 years ago

Need the answer for x and y

Hunter-Best [27]

Answer:

x = 6

CD = 59

Step-by-step explanation:

10x - 1 = 8x + 11

combine like terms:

2x = 12

x = 6

CD = 8(6) + 11 = 59

5 0

3 years ago

Will mark brainlist and please show your work!

bogdanovich [222]

It’s A bc 228/3 is 76 and the rest of the answers seems like it wouldn’t be the correct answer.(I apologize if I’m wrong)

3 0

3 years ago