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pav-90 [236]
2 years ago
11

Adam used 1.8 pieces of paper to make this project he decorated 0.2 of each piece of paper with different colors . how many sect

ions does adams art project have
Mathematics
1 answer:
qaws [65]2 years ago
3 0
Adam had 9 sections in his art project.
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Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125
liq [111]

For the given equation;

(3x-5)^2=-125

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}

Now that we have expanded the left side of the equation, we would have;

\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}

ANSWER:

x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}

3 0
10 months ago
The answer and the step by step explanation pleasee
alexira [117]

Answer:

C

Step-by-step explanation:

Given

V = lwh ( isolate w by dividing both sides by lh )

\frac{V}{lh} = w → C

6 0
3 years ago
STEP 2 HELP ME ASAP !!!!
Whitepunk [10]

Answer:

y=7x

Step-by-step explanation:

x=time

8 0
3 years ago
3(x + y + h)=<br> Can someone help me with this
Nastasia [14]

Answer:

3x +3y +3h

that’s the farthest you can solve since you don’t know the variable’s values

4 0
3 years ago
Every time Liliana bakes a batch of brownies, she uses 34 cup of chocolate. If she has 128 cup(s) of chocolate remaining, how ma
pogonyaev

Answer:

3

MARK BRAINLIEST IF THIS HELPED!

i hope u have a great day.

6 0
3 years ago
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