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3 years ago

How many solutions are there to the equation below 9x + 27 = 9( x + 2 ) + 9

Mathematics

2 answers:

Nataly [62]3 years ago

7 0

Let's solve the equation:

9x+27 = 9(x+2)+9 ← Distribute 9 to the x and 2

9x+27 = 9x+18+9 ← Combine like terms

9x+27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.

Mama L [17]3 years ago

6 0

9x + 27 = 9(x + 2) + 9

Simplify both sides of equation:

9x + 27 = 9(x + 2) + 9

9x + 27 = (9)(x) + (9)(2) + 9 (Distribute)

9x + 27 = 9x + 18 + 9

9x + 27 = (9x) + ( 18 + 9)

(Combine Like Terms:)

9x + 27 = 9x + 27

Subtract 9x from both sides:

9x + 27 - 9x = 9x + 27 - 9x

27 = 27

Subtract 27 from both sides:

27 - 27 = 27 - 27

0 = 0

Equations is always true

Answer: All real numbers are solutions: (Infinitely many solutions:)

Hope that helps!!! ( Answer: Letter Choice (B), Infinitely many solutions.).

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Answer:

Force = - 2.1 Newton

Step-by-step explanation:

According to question ,

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And the spring is extended up to 0.3 meter

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<u>The principal state that , the force applied on spring to extend or compress the spring to some distance is proportion to that distance. </u>

Let the force be F

So, F = - K X

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And K is spring constant

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Given: M(-4,-1), B(-5,-3) find the midpoint

Dmitry [639]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
M&({{ -4}}\quad ,&{{ -1}})\quad 
% (c,d)
B&({{ -5}}\quad ,&{{ -3}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ -5}}-4}{2}\quad ,\quad \cfrac{-3-1}{2} \right)$