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2 years ago

Y is inversely proportional to the square of x.

Mathematics

1 answer:

Mkey [24]2 years ago

4 0

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3.5, y = 8.

=> (3.5)²(8) = k, k = 98.

When y = 8/9,

we have x²(8/9) = (98).

=> x² = 110.25

=> x = 10.5 or x = -10.5.

Since we want the negative value,

the answer is x = -10.5.

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Help center of circle

Lelu [443]

Answer:

Center = (7, - 5)

Radius = 3

Step-by-step explanation:

${x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3$

7 0

3 years ago

Help me with this please

meriva

Answer:

1) E

2) D

3) G

4) I

Step-by-step explanation:

P = 2(l + w)

P = 2(3a + 3 + 8a - 12)

P = 2(11a - 9)

P = 22a - 18

P = 22(3) - 18

P = 66 - 18

P = 48

P = a + b + c

P = 3b + 7 + 7b - 2 + 7b - 2

P = 17b + 3

P = 17(6) + 3

P = 102 + 3

P = 105

6 0

2 years ago

Investigate the difference between compounding annually and simple interest

Gennadij [26K]

Step-by-step explanation:

Simple interest formula

$A = P (1 + rt)$

Compound interest formula

$A = P(1 + \frac{r}{n})^{nt}$

$A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125$

Simple interest is $125

. $A = 5000 (1 + \frac{0.025}{1})^{1*1} \\A=5000(1.025)\\A= 5125$

Compound interest is $125

c. the result for both a and b are the same

$A = 5000 (1 + 0.025*3) \\A=5000(1.075) \\A=5375$

the simple interest is $375

. $A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385$

the compound interest is $385

f. the result compared, compound interest is $10 more than simple interest

$A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600$

the simple interest is $600

$A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869$

the compound interest is $4869

i. the result from g and h, h is over 8 times bigger than g.

j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h

6 0

2 years ago

Angles 1 and 2 are complementary and congruent. What is the measure of angle 1

ExtremeBDS [4]

Answer:

45 i think i dont know

Step-by-step explanation:

∠

holds true.

Complementary angles have a sum of

. Thus, if

∠

and

∠

are complementary,

∠

Substitute the equivalent forms of these angle measurements

(

)

Solve algebraically.

Each angle is

6 0

3 years ago

Rosy waxes 2/3 of her car with 1/4 bottle of car wax. At this rate what fraction of the bottle of car wax will Rosy use to wax h

Dmitry_Shevchenko [17]

⅜ of the bottle. Hope this helps!

4 0

3 years ago

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