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kirza4 [7]
3 years ago
9

What is the center? (x + 1)2 + (y - 3)2 = 36

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

(-1, 3)

Step-by-step explanation:

The centre of any circle in the form

(x+\alpha)^2+(y+\beta)^2 = r^2\\

Is always

(-\alpha, -\beta)

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Gabriel invested $77,000 in an account paying an interest rate of 3%
const2013 [10]

Answer:

Isabella earn 5604.54 more money than  Gabriel

Step-by-step explanation:

As we know

Compound interest (CI) = P (1 + \frac{r}{n})^{nt}

P is the principal amount

t is the time period

n is the number of time periods

r is the rate of interest

a)  CI for  Gabriel

= 77000 (1 + \frac{3}{100*12})^{12*6} = 92165.03 dollars

b) CI for Isabella

= 77000 (1 + \frac{4}{100*4})^{4*6} = 97769.57 dollars

Isabella earn 5604.54 more money than  Gabriel

7 0
2 years ago
What is the value of x, the side length of the smallest square (please show work) Thanks!
Ratling [72]

Answer:

8 cm

Step-by-step explanation:

Ok lets on the biggest square we have 17 cm

17cm is the hypotenuse for the right triangle

The second largest's area is 225 cm^2

Sq root of 225 cm^2, is 15

To find x, lets plug the info we have to the pythagorean theorom

a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm

The side length of the smallest Square is 8 cm

If my answer is incorrect, pls correct me!

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7 0
3 years ago
Dennis can walk 2.833 miles each hour . About how far can he walk in 3 hours and 15 minutes
Bezzdna [24]

well, let's split the hours in minutes, so since 1 hr is 60 minutes, so he can walk 2.833 miles in 60 minutes, well, 3 hrs is 3*60 = 180 minutes, then we add 15 minutes, that's 195 minutes.

if he can walk 2.833 miles in 60 minutes, how long will it be for 195 minutes?

\bf \begin{array}{ccll} miles&minutes\\ \cline{1-2} 2.833&60\\ x&195 \end{array}\implies \cfrac{2.833}{x}=\cfrac{60}{195}\implies \cfrac{2.833}{x}=\cfrac{4}{13} \\\\\\ 36.829=4x\implies \cfrac{36.829}{4}=x\implies 9.20725 = x

4 0
3 years ago
The tax on a $400 painting is $34 what should be the tax on a $700 painting
MAXImum [283]
$136 is the answer i think...
4 0
3 years ago
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Whats the domain of this function?
nika2105 [10]

Answer:

to reflect the line and record readings

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