4 years ago

What is the solution of the following system?

1 answer:

5 0

4x-y = 15 3x+2y = -8 Multiplying the first equation by two makes for an easy elimination of the y variable. 8x - 2y = 30 3x + 2y = -8 Add vertically. 11x = 22. Divide by 11 on both sides and get x = 2. Plug into an equation. 4(2) - y = 15 8 - y = 15 8 = 15 + y 8 - 15 = y -7 = y. Thus the solution is indeed (2, -7).

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A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approx

puteri [66]

The answer is around 168.56

work :

the side of the square is 28 in

so the diameter of the circle is 28 in, too(look at the picture)

then the radius is 14 (28/2)

the area of the circle is
$(14 \times 14) \times 3.14 = 615.44$

the area of the square is
${28}^{2} = 784$

so the area of the shaded region will be around:
$784 - 615.44 = 168.56$

good luck