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maks197457 [2]
3 years ago
9

15 points!!!4x^2 -20x +25≥0​

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

x ≥ \frac{5}{2}

Step-by-step explanation:

Given equation:

     4x² -20x + 25≥0​

To solve for x, we simply factorize the equation;

We should find two numbers whose sum = -20 and product is 100

  These two numbers are -10 and -10

So;

    4x² - 10x - 10x + 25 ≥ 0​

   factorize;

    2x(2x - 5) - 5(2x - 5) ≥ 0​

   (2x - 5) (2x - 5) ≥ 0​

    So;

        2x - 5 ≥ 0​

         2x ≥ 5

            x ≥ \frac{5}{2}

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A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]

B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)

<h3>A. How to determine the mid point</h3>
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  • Coordinate of D = (p, q)
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Mid point = (X , Y)

X = (x₁ + x₂) / 2

X = (4 + p) / 2

Y = (y₁ + y₂) / 2

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Thus,

Mid point = (X , Y)

Mid point = [(4 + p) / 2 , (5 + q) / 2]

<h3>B. How to determine the coordinates of D</h3>
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Mid point = (7, 1) = (X , Y)

X = (4 + p) / 2

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Cross multiply

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Collect like terms

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Y = (5 + q) / 2

1 = (5 + q) / 2

Cross multiply

1 × 2 = 5 + q

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Collect like terms

q = 2 - 5

q = -3

Coordinates of D = (p, q)

Coordinates of D = (10 , -3)

Learn more about coordinate geometry:

brainly.com/question/4976351

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