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timama [110]
3 years ago
14

What is the equation?

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

(x - 7)^2 + (y - 2)^2 = 5^2

Step-by-step explanation:

Center at (7, 2); radius 5

Adapt (x - h)^2 + (y - k)^2 = r^2 to this situation.  Replace h by 7, k by 2 and r by 5:

(x - 7)^2 + (y - 2)^2 = 5^2

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It took Leo 3 hours to type a 4125-word essay. Sarah typed her 3800-word essay in 3 hours and 10 minutes. At these rates, how mu
scoray [572]

Answer:

Sarah would take 35 minutes longer than Leo to type 5500 word essay

Step-by-step explanation:

Let us solve the question

∵ It took Leo 3 hours to type a 4125-word essay

→ The rate is the number of words divided by the time

∴ Leo's rate = 4125 ÷ 3 = 1375 words/hour

∵ Sarah typed her 3800-word essay in 3 hours and 10 minutes

→ Change the 10 min to the hour by divide it by 60

∵ 3 hours 10 min = 3 + \frac{10}{60} = 3 + \frac{1}{6}  = 3\frac{1}{6} hours

∴ Sarah's rate = 3800 ÷ 3\frac{1}{6}  = 1200 words/hour

∵ Leo will type a 5500-word essay

→ Divide it by his rate to find the time taken

∴ Leo takes = 5500 ÷ 1375 = 4 hours

∵ Sarah will type a 5500-word essay

→ Divide it by her rate to find the time taken

∴ Sarah takes = 5500 ÷ 1200 = 4\frac{7}{12} hours

→ Find the difference between their times

∵ The difference = 4\frac{7}{12} - 4 = \frac{7}{12} hour

→ Multiply it by 60 to change to minutes

∴ The difference = \frac{7}{12} × 60 = 35 minutes

∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay

3 0
2 years ago
Given the functions f(x) = x² – 8 and g(x) = 4-x, determine the equation for the combined function
ElenaW [278]

Answer:

y=x^2+x-12

Step-by-step explanation:

f(x) = x² – 8 and g(x) = 4-x

y=f(x) - g(x)

y=(x² – 8) - (4-x)

y=x^2-8-4+x\\y=x^2+x-12

6 0
2 years ago
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprin
Rashid [163]

The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

-25W = −750

W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

3 0
3 years ago
Please help me with this​
mylen [45]

Answer:

You Can Scan This In The App And Then Its Solved

3 0
3 years ago
Calculate simple interest earned on a deposit of $500 at a rate of 5% for 5 years. $125 $500 $625 $12,500
Sergio [31]

Answer:

$125

Step-by-step explanation:

Given:

deposit, P=  $500

rate,i =  5%

time,t= 5 years

I=P*i*t

where P is principal amount

i is interest rate

t is time

I is simple interest

Putting values we get:

I=500*0.05*5

 = 125 !

8 0
3 years ago
Read 2 more answers
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