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3 years ago

Find an expression for the area of this rectangle (2x+1) (x+8)

2 answers:

8 0

The correct awnser is this is not a perfect rectangle because it does not have a polynomial value I hope I helped you out with this problem if so please feel free to mark me the brainliest or to give me a thanks

stepan [7]3 years ago

4 0

Assuming the brackets you have given are two of the sides of the rectangle (I apologise if that's not the case), you just need to multiply the brackets together, which means multiplying each term. Therefore: 2x × x, 2x × 8, 1 × x, and 1 × 8. The answers to these are 2x^2, 16x, x, and 8. Then you just add these terms to get 2x^2 + 17x + 8

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Alex787 [66]

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The center of a hyperbola is located at the origin. One focus is located at (−50, 0) and its associated directrix is represented

leva [86]

The equation of the hyperbola is : $\frac{x^{2}}{48^2} - \frac{y^{2}}{14^2} = 1$

The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)

As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin: $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$

The distance from center to focus is 'c' and here focus is at (-50,0)

So, c= 50

Now if the distance from center to the directrix line is 'd', then

$d= \frac{a^{2}}{c}$

Here the directrix line is given as : x= 2304/50

Thus, $\frac{a^{2}}{c} = \frac{2304}{50}$

⇒ $\frac{a^{2}}{50} = \frac{2304}{50}$

⇒ a² = 2304

⇒ a = √2304 = 48

For hyperbola, b² = c² - a²

⇒ b² = 50² - 48² (By plugging c=50 and a = 48)

⇒ b² = 2500 - 2304

⇒ b² = 196

⇒ b = √196 = 14

So, the equation of the hyperbola is : $\frac{x^{2}}{48^2} - \frac{y^{2}}{14^2} = 1$

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3 years ago

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Kitara has 100 quarters and dimes. Their total value is $19. How many of each coin does Kitara have?

Sedbober [7]

Q + d = 100 so q = 100 - d
0.25q + 0.10d = 19

substitute q = 100 - d into 0.25q + 0.10d = 19

0.25q + 0.10d = 19
0.25(100 - d) + 0.10d = 19
25 - 0.25d + 0.10d = 19
-0.15d = -6
d = 40

q = 100 - 40 = 60

answer
Kitara has 60 quarters and 40 dimes

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