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4 years ago

Solve this system by substitution. Y=-8x-23 Y=-5x-14

2 answers:

7 0

$set\ them\ equal\ to\ each\ other \\ -8x-23=-5x-14 \\ -3x-23=-14 \\ -3x=9 \\ x= \frac{9}{-3} \\ x=-3 \\ \\ plug\ in\ OG\ equation \\ y=-8x-23 \\ y=-8(-3)-23 \\ y=24-23 \\ y=1 \\ \\ \boxed {(-3,1)}$

cupoosta [38]4 years ago

3 0

Y = -8x - 23
y = -5x - 14
2y = -13x - 37
2y = -13x - 37
2 2
y = 6 1/2x - 18 1/2
6 1/2x - 18 1/2 = -5x - 14
 +5x +5x 
11 1/2x - 18 1/2 = -14
 +18 +18
 11 1/2x = 4
 11 1/2x = 4 
 11 1/2 11 1/2
 x = 8/23
y = -5(8/23) - 14
y = -1 17/23 - 14
y= -15 17/23
(x, y) = (8/23, -15 17/23)

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c. $\frac{1}{\pi}$

Step-by-step explanation:

We have been given that the area in square units of an expanding circle is increasing twice as fast as its radius in linear units

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Using power rule and chain rule, we will get:

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We have been given that area of an expanding circle is increasing twice as fast as its radius in linear units. We can represent this information in an equation as:

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Hope this helps :)

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4 years ago

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