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Home » \[ V = \frac133 \pi \times 5 \times 4 \] - Baxtercollege

\[ V = \frac133 \pi \times 5 \times 4 \] - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 4x^2 - 12x + 9 = (2x - 3)^2

📌 \boxed{(2x - 3)^2}

📌 Two proposed transit routes are modeled by the lines \( 3x - 4y = 12 \) and \( 2x + 5y = 10 \). Find their intersection point.

📌 3x - 4y = 12 \quad \text{(1)}\\

📌 2x + 5y = 10 \quad \text{(2)}

📌 Use elimination. Multiply equation (1) by 5 and equation (2) by 4:

📌 15x - 20y &= 60 \quad \text{(from (1))\times 5} \\

📌 8x + 20y &= 40 \quad \text{(from (2))\times 4}

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x - 2 = 10
x = 10 + 2 = 12
Therefore, the solution is $\boxed{12}$.
Question: Factor the expression: $ 16x^2 - 40x + 25 $.
16x^2 - 40x + 25
This expression resembles a perfect square trinomial:
Check if it fits the pattern:
16x^2 = (4x)^2, \quad 25 = (5)^2, \quad -40x = -2(4x)(5)
So the expression is a perfect square trinomial:
Thus, the factored form is $\boxed{(4x - 5)^2}$.

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