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insens350 [35]
1 year ago
9

C. A parallelogram

Mathematics
1 answer:
Oxana [17]1 year ago
7 0

If a parallelogram has an area of 7 square units, and the height corresponding to a base is (\frac{1}{4}) units, then the base is 28 units.

As per the question statement, a parallelogram has an area of 7 square units, and the height corresponding to a base is (\frac{1}{4}) units.

We are required to find out the base of the parallelogram.

To solve this question, we need to know the formula to calculate the area of a parallelogram, which goes as

Area of Parallelogram = (Base * Height)

Putting our data obtain from the question statement, in the above-mentioned formula, we can calculate the value of the base of our concerned parallelogram, i.e.,

7=(base*\frac{1}{4})\\or, base=(7*4)\\or, base = 28
Therefore, base of our concerned parallelogram is 28 units.

  • Parallelogram: In Euclidean geometry, a parallelogram is a four-sided, plane, closed figure (Quadrilateral) with two pairs of parallel, opposite sides.

To learn more about Parallelograms, click on the link below.

brainly.com/question/16052466

#SPJ9

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Serggg [28]

Answer:

The equation of the parabola is (x - 4)² = -16(y - 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where

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∵ The focus of the parabola is (4, -3)

∵ The focus is (h, k + p)

∴ h = 4

∴ k + p = -3 ⇒ (1)

∵ It has a directrix of y = 5

∵ The directrix of the parabola is y = k - p

∴ k - p = 5 ⇒ (2)

→ Add equations (1) and (2) to find k and p

∵ (k + k) + (p - p) = (-3 + 5)

∴ 2k + 0 = 2

∴ 2k = 2

→ Divide both sides by 2

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→ Substitute the value of k in equation (1)

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→ Subtract 1 from both sides

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∴ p = -4

∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)

→ Substitute the values of h, k, p in it

∴ (x - 4)² = 4(-4)(y - 1)

∴ (x - 4)² = -16(y - 1)

∴ The equation of the parabola is (x - 4)² = -16(y - 1)

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Answer:

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Step-by-step explanation:

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