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laila [671]
3 years ago
14

To derive the standard formula of a circle, a radius r is constructed as the hypotenuse of a right triangle as shown. On a coord

inate plane, a circle has center D at point (h, k). Right triangle D F E has point E on the circle. Point E is at (x, y). The length of D E is r. Angle E F D is a right angle. What are the lengths of the sides of the right triangle that is formed? Check all that apply. h k h – k x – h x – y y – h y – k
Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

The answer is "x-h and y-k".

Step-by-step explanation:

The center is (h, k) with E (x, y) point, and its length of the legs used during extracting the standard circle equation should be found. Its right triangle length base is (x-h) units, as well as the right triangle's length, is (y-k). So, these are the required leg lengths, that's why the above-given points are correct.    

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What is the square root of 21
Andru [333]

Answer:

4.58

Step-by-step explanation:

21 is not a perfect square, but lies between the perfect squares 16 and 25.  Thus, √21 lies between √16 and √25, that is, between 4 and 5.  Since 21 is closer to 25 than to 16, √21 is closer to 5 than to 4.  A rough estimate of √21 would be 4.7.

√21 done on a calculator comes out to 4.58.

4 0
3 years ago
How many millimeters are in 15 centimeters
finlep [7]
1 centimeter is equivalent to 10 millimeters.  So 15x10=150 millimeters.
Hope this helped! :D
8 0
3 years ago
Read 2 more answers
Solve for x if log(2x-7) = 0
schepotkina [342]

Answer:

x=4

Step-by-step explanation:

log(2x-7) = 0

10^[log(2x-7)] = 10^0

2x-7 = 1

2x = 8

x = 4

4 0
2 years ago
A family wants to save for college tuition for their daughter. What continuous yearly interest rate r% is needed in their saving
sergey [27]

Answer:

The continuous yearly interest is  22.5% per year.

Step-by-step explanation:

Continuous yearly interest:

Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.

The formula for continuous interest yearly is

A=Pe^{rt}

where A = The final amount =$110,000

P= principle =$4,700

r= rate of interest

t= time (in year)= 14 years

\therefore 110,000= 4,700e^{r\times 14}

\Rightarrow e^{14r}= \frac{110,000}{4,700}

Taking ln both sides

\Rightarrow ln e^{14r}= ln(\frac{110,000}{4,700})

\Rightarrow {14r}= ln(\frac{1100}{47})

\Rightarrow r=\frac{ln( \frac{1100}{47})}{14}

\Rightarrow r = 0.225  (approx)

The continuous yearly interest is 0.225 = 22.5% per year.

4 0
3 years ago
Math
SIZIF [17.4K]

Answer:

Susanne is 16

Step-by-step explanation:

Let x be Dakota's age

x + 3 = Susanne's age

4(x+3) = Bob's age

Sum of their age is:

x + x + 3 + 4(x + 3) =

Simplify:

x + x + 3 + 4x + 12

6x + 15 = 93

6x = 78

x =  13

Susanne is 3 more than x (13 +3) which is 16

6 0
3 years ago
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