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Rudiy27
3 years ago
15

The center of a circle is at (–10, 6) and it has a radius of 4. What is the equation of the circle?

Mathematics
2 answers:
HACTEHA [7]3 years ago
6 0
1) 

The equation of the circle with the given radius and center is D. (x+10)² + (y-6)² = 16

That is because the format of the equation of the circle is (x - h)² + (y-k)² = r²

So if you substitute in the values for the variables the answer will be choice D.

2)

Tom can walk 6 miles away because 6 is the radius in the given equation.

Hope this helps :)
mihalych1998 [28]3 years ago
3 0
This is for the previous one

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Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. Th
mote1985 [20]

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

  • L is the length of the rectangle
  • W is the width of the rectangle

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

∵ A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = \frac{1}{3} yard

∴ 1 foot² = (\frac{1}{3})^{2}=\frac{1}{9} yard²

∴ 15 feet² = 15 × (\frac{1}{9}) = \frac{5}{3} yards²

∴ The area of the blanket is  \frac{5}{3} yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost =  \frac{5}{3} × 1.25

∴ The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

∴ The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

∴ The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

7 0
3 years ago
Determine whether the function below is an even function, an odd function, both, or neither.
kari74 [83]
All of the powers of x here are even, so the function f(x) is even.  Note that 19 = 19x^0 = 19(1) = 19

6 0
3 years ago
10a. The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of b. Round your estimate to the
vredina [299]

Answer:

The answer is below

Step-by-step explanation:

The equation of a straight line is given as:

y = mx + b; where m is the slope of the line and b is the y intercept (that is value of y at x = 0).

a) From the graph, we can see that the straight line touches the y axis at $100 in which the temperature is 0 degrees. Therefore the y intercept is:

(0, 100)

b) The slope of the line can be gotten by taking two points that the line passes through. Using the points (0, 100) and (12, 500):

slope(m)=\frac{y_2-y_1}{x_2-x_1} =\frac{500-100}{12-0} =33.3

4 0
2 years ago
Help i made it worth a lot of points
raketka [301]

Answer:

36x^6/y^10

Step-by-step explanation:

First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6

y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r

final answer should be 36x^6/y^10

hope this helps :')

4 0
2 years ago
Read 2 more answers
Please answer asap...
ehidna [41]

Answer:

The answer is C pay attention in class next time

6 0
3 years ago
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