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hram777 [196]
3 years ago
5

What is the solution to the equation? 3/4(4c+16)=2c+9

Mathematics
2 answers:
guajiro [1.7K]3 years ago
7 0
\frac{3}{4}(4c+16)=2c+9\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\\frac{3}{4}\cdot4c+\frac{3}{4}\cdot16=2c+9\\\\\frac{3}{\not4_1}\cdot\frac{\not4c}{1}+\frac{3}{\not4_1}\cdot\frac{\not16^4}{1}=2c+9\\\\3c+12=2c+9\ \ \ \ |subtract\ 2c\ and\ 12\ from\ both\ sides\\\\\boxed{c=-3}
ella [17]3 years ago
4 0
<span>3/4(4c+16)=2c+9

We simplify the equation to the form, which is simple to understand
<span>3/4(4c+16)=2c+9

Reorder the terms in parentheses
<span>+(+3c+12)=2c+9

Remove unnecessary parentheses
<span>+3c+12=+2c+9

We move all terms containing c to the left and all other terms to the right.
<span>+3c-2c=+9-12

We simplify left and right side of the equation.
<span>+1c=-3

We divide both sides of the equation by 1 to get c.
<span>c=-3
Hope this helped! :)

</span></span></span></span></span></span></span>
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What is the product 3x5(2x2+4x+1)
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6x^7+12x^6+3x^5

Step-by-step explanation:

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3x^5(2x^2+4x+1)

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3x^5(2x^2)+3x^5(4x)+3x^5(1)

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3 0
3 years ago
WILL GIVE BRAINLIEST
Amanda [17]

════════ ∘◦❁◦∘ ════════

<h3>Answer : y = ⅚x - 3</h3>

════════════════════

<h3>Known</h3>

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

════════════════════

<h3>Question</h3>

Equation of the line (y = mx + c)

════════════════════

<h3>Way to do</h3>

#First, you find the gradient (m)

m =  \frac{y2 - y1}{x2 - x1}  =  \frac{(( - 8) - 2)}{(( - 6) - 6)}  =  \frac{( - 10)}{( - 12)}  =  \frac{5}{6}

#Now use the formula of equation of the line

y - y1 = m(x - x1)

y - 2 = ⅚(x - 6)

y - 2 = ⅚x - 5

y = ⅚x - 5+2

y = ⅚x - 3

════════════════════

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