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Nadya [2.5K]
3 years ago
15

How many solutions does the absolute value equation below have? |x + 6| = –8

Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0
The answer is there are no solution that fulfill this equation because if you put for example -14 the answer will be -8 but there is absolutely sign, so the answer is 8. Hope it help!
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Find the surface area of the solid. Round to two decimal places
Ne4ueva [31]
Check the picture below.

so, to get the area of the triangles, we can simply run a perpendicular line from the top to the base, and end up with a right-triangle with a base of 22 and a hypotenuse of 34, let's find the altitude.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{34^2-22^2}=b\implies \sqrt{672}=b

so then the surface area of the triangular prism is,

\bf \stackrel{\textit{left and right}}{2(34\cdot 76)}~~+~~\stackrel{\textit{bottom}}{(44\cdot 76)}~~+~~\stackrel{\textit{front and back}}{2\left[\cfrac{1}{2}(44)(\sqrt{672})  \right]}
\\\\\\
8512~~+~~(44)(\sqrt{672})\qquad \approx\qquad 9652.61036291978

5 0
3 years ago
15.7/6.28 what is the answer how do you do it
Andrew [12]
Simply divide 15.7 by 6.28 to get 2.5 :) easy peasy pumpkin pie
7 0
3 years ago
How many 1/10 cubes are in 4 1/2
larisa [96]

Answer:

45 cubes

Step-by-step explanation:

There are 10 cubes in each 1. so 10 x 4 = 40. 1/2 of 10 is 5 so 40+5 = 45.

4 0
3 years ago
The elves ate all 327 cookies in a 1/2 hour. What is the rate in cookies per hour?
Elenna [48]
Well.. an hour is.. 60 seconds.. but, 1/2 an hour is.. 30 seconds.. And if the elves ate 327 cookies, you would have to divide 327/100 * 30, and that would be.. 1,090 rates in cookies that they ate per hour! Hope I was able to help! And.. if you can, please give me Brainliest! I would really appreciate it! Merry Christmas, and God Bless you, and your whole family! Be/stay safe, and have a good rest of your day! :)
8 0
3 years ago
-12x + 12 = 4 - 15x + 9
emmainna [20.7K]

Answer:

x = 1/3

Step-by-step explanation:

-12x + 12 = 4 - 15x + 9

Combine like terms

-12x +12 = -15x+13

Add 15x to each side

-12x+12 +15x = -15x+15x+13

3x+12 = 13

Subtract 12 from each side

3x+12-12 = 13-12

3x = 1

Divide by 3

3x/3 = 1/3

x = 1/3

8 0
3 years ago
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