Evaluate this expression. 5^2 +3 (8-2) A. 28 B. 32 C. 43 D. 47 E. 168

Mathematics

1 answer:

Xelga [282]2 years ago

6 0

Answer:

C. 43

Step-by-step explanation:

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How to find the area of a regular figure

Lady_Fox [76]

U multiply two sides

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2 years ago

The distance from one corner of a rectangular garden to the other is 13 ft. The length of the garden is 7 ft longer than the wid

coldgirl [10]

Answer:

dimensions: 12 ft by 5 ft
area: 60 ft²

Step-by-step explanation:

Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...

x² + (x+7)² = 13²

2x² +14x + 49 = 169 . . . . eliminate parentheses

x² +7x -60 = 0 . . . . . subtract 169 and divide by 2

(x +12)(x -5) = 0 . . . . factor the equation

x = -12 or +5 . . . . . . . only the positive value of x is useful here.

The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².

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<em>Comment on finding the area</em>

The quadratic equation above can be rearranged and factored as ...

x(x +7) = 60

Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.

4 0

2 years ago

Simplify: x0 y-3 / x2 y-1

svetlana [45]

$\frac{x {}^{0}y {}^{ - 3} }{x {}^{2}y {}^{ - 1} } \\ = \frac{1y {}^{ - 3} }{ {x}^{2}y {}^{ - 1} } \\ = \frac{1 \times 1}{ {x}^{2} y {}^{2} } \\ \\ = \frac{1}{ {x}^{2}y {}^{2} }$