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Natasha2012 [34]
3 years ago
11

Algebraically determine the points of intersection of (x-1)^2+(y-2)^2=4 and y-2=2x

Mathematics
1 answer:
dlinn [17]3 years ago
6 0
This is ur required result in attachment

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Write 3 equivalent fractions showing 2/5
den301095 [7]
3 equivalent fractions are 4/10 , 10/25 and , 6/15
7 0
2 years ago
Solve the inequality<br> <img src="https://tex.z-dn.net/?f=2%285c-7%29%5Cgeq%2010%28c-3%29" id="TexFormula1" title="2(5c-7)\geq
alina1380 [7]

1 Remove parentheses.

2(5c−7)≥c−3

2 Expand.
10c−14 ≥ c −3


3 Add 14 to both sides.
10c-14+14≥ c − 3+14


4 Simplify c−3+14 to c+11
10c≥c+11

5 Subtract c from both sides.

10c−c≥11

6 Simplify 10c−c to 9c
9c≥11

7 Divide both sides by 9.
c ≥11/9
​
​​
5 0
2 years ago
How much would you need to deposit in an account now in order to have $4000 in the account in 10 years? Assume the account earns
gogolik [260]

Answer:

  $2355.06

Step-by-step explanation:

Use the compound interest formula, filling in the numbers you know. Then solve for the number you don't know.

  A = P(1 +r/n)^(nt)

where A is the account balance, P is the amount invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

Filling in the given values, we have ...

  4000 = P(1 +.053/52)^(52·10) = P(1.6984738)

  P = 4000/1.6984738 ≈ 2355.06

You would need to deposit $2355.06 in order to have $4000 in 10 years.

5 0
3 years ago
George observes that for every increase of 1 in the value of x, there is a increase of 60 in the corresponding value of y. He cl
Brums [2.3K]

Hi there!

<u><em>FACTS</em></u><em> :</em>

<em>To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).</em>

<u>STEPS TO ANSWER:</u>

x = 1 ; y = 90 → \frac{1}{90} = 1 ÷ 90 = <u>0.01111111...</u>


x = 2 ; y = 150 → \frac{2}{150} = 2 ÷ 150 = <u>0.0133333...</u>


x = 3 ; y = 210 → \frac{3}{210} = 3 ÷ 210 = <u>0.01428571</u>


x = 4 ; y = 270 → \frac{4}{270} = 4 ÷ 270 = <u>0.0148148...</u>


x = 5 ; y = 330 → \frac{5}{330} = 5 ÷ 330 = <u>0.01515152</u>


<em>** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.</em>


⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.


There you go! I really hope this helped, if there's anything just let me know! :)

5 0
3 years ago
14 divided by 3/8 ? (The question mark is not part of the problem...neither is this..)
dmitriy555 [2]
3 divided by 8 is .375
14 divided by .375 is 37.3 repeating
and the fraction for that is 112/3

4 0
3 years ago
Read 2 more answers
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