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WITCHER [35]
3 years ago
7

Solve each system of equations X^2+y^2+18x+29=0 X+y=1

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

two solutions : (-3;4)  and (-5;6)

Step-by-step explanation:

hello :

X²+y²+18x+29=0    ..(1)

X+y=1 ...(2)

by (2) : y = 1 - x

put this value in (1) : x² +(1-x)² +18x+29 = 0

x² +1 +x² -2x+18x +29 =0

2x²+16x +30 = 0

x²+8x+15 =0

delta = b²-4ac     a=1   b=8   c = 15

delta = (8)²-4(1)(15)=64-60 =4 = 2²

X1=(-8+2)/2 = - 3

X2=(-8-2)/2 = - 5

case 1 : x = -3    y = 1 - (-3) = 4

case 2 : x = -5    y = 1 - (-5) = 6

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The function f(x)=125(0.9)x models the population of a species of fly in millions after x years.
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<u>Step-by-step explanation:</u>

rate of change is the "slope" between the given interval.

f(x) = 125(.9)ˣ

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********************

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7 0
3 years ago
Pls answer the question with explanation
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Answer:

a) 96m

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Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of  a trapezium is given as

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