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beks73 [17]
3 years ago
9

Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter. Re

ject the extraneous solution.
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

21

ctto JBarnum

Step-by-step explanation:

P+11=(1/2)(P-13)^2

P+11=(1/2)(P^2-26p+169)

2(P+11)=(1/2)(2)(P^2-26p+169)

2P+22=P^2-26p+169

0=P^2-28p+147      ( -7 and -21)

(P-7)(P-21)=0

P=7,21                     (cant be 7 as 13 years from 7 is negative so peter is 21)

checking:

21+11=32

32=(1/2)(21-13)^2

32=(1/2)(8)^2

32=(1/2)64

32=32

correct

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Answer:

As per the statement;

The moon takes 28 days to orbit around the earth going at a distance of 2,413,000 km

From the above information,

The ratio between Distance and Days is; \frac{2413000}{28}

then,

the distance it takes for the moon to travel one day of its orbit around the earth we have;

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3 years ago
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What fraction of 1 pint is 1 cup
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3 years ago
What is the domain of f
frez [133]

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Step-by-step explanation:

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8 0
3 years ago
Jim makes the chart shown below to prove that Triangle APD is congruent to triangle BPC:
Oliga [24]

Answer:

Given a square ABCD and an equilateral triangle DPC and given a chart with which Jim is using to prove that triangle APD is congruent to triangle BPC.

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6 0
2 years ago
Solve the following systems of equations.<br> 2^(2x+y−1) = 32<br> 4^(x−2y) = 2
Rina8888 [55]

Answer:(x,y)=(2.5,1)

Step-by-step explanation:

Given

2^{2x+y-1}=32

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thus on comparing  

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substitute x in 1

y=1

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6 0
3 years ago
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