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3 years ago

1. Which equation is equivalent to the equation 6x + 9 = 12?

Mathematics

2 answers:

enot [183]3 years ago

8 0

Hope this helps

- Que

Answer:

B. 2x + 3 = 4

Step-by-step explanation:

6x + 9 = 12

Find this out by solving for x start with subtraction property of equality.

6x = 3

Division property of equality

x = 3/6 or x = 0.5

_____________________

Now insert the value of x to check other answers starting with A

0.5 + 9 = 6

9.5 = 6 is incorrect so not A.

Now B

2(0.5) + 3 = 4

1 + 3 = 4

4 = 4 is correct so B is your answer

Now C

3(0.5) + 9 = 6

1.5 + 9 = 6

10.5 = 6 is incorrect so not C

Lastly D

6(0.5) + 12 = 9

3 + 12 = 9

15 = 9 is incorrect so not D either.

yanalaym [24]3 years ago

4 0

Answer:

Step-by-step explanation:

if we divide both sides of 6x + 9 = 12 by 3

(6x + 9)/3 = 12/3

2x + 3 = 4 ---> which matches choice B

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The surface are I cannot find

Ilia_Sergeevich [38]

check the picture below.

so the triangular prism is really just 3 rectangles and 2 right-triangles,

now, we know the base of one of the triangles is 2.6, what's its height?

since it's a right-triangle, we can simply use the pythagorean theorem to get "h".

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad
\begin{cases}
c=\stackrel{hypotenuse}{5.2}\\
a=\stackrel{adjacent}{2.6}\\
b=\stackrel{opposite}{h}\\
\end{cases}
\\\\\\
\sqrt{5.2^2-2.6^2}=h\implies 4.5\approx h$

so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.

$\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)}
\\\\\\
11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft$