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Irina18 [472]
3 years ago
6

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

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X<br> f(x) = 2x-1 -2 <br><br> Please help
Kobotan [32]

By evaluating the linear equation, we can complete the table:

x: -2 | -1 | 0 | 1 | 2 |

y: -3 | -1 |  1 | 3 | 5  |

<h3>How to complete the given table?</h3>

Here we want to complete the table:

x: -2 | -1 | 0 | 1 | 2 |

y:     |    |    |    |    |

To get the correspondent values in the "y" row, you just need to evaluate the linear function in the given values of x.

Here the function is:

f(x) = 2x - 1

Evaluating it we get:

f(-2) = 2*(-2) + 1 = -3

f(-1) = 2*(-1) + 1 = -1

f(0) = 2*0 + 1 = 1

f(1) = 2*1 + 1 = 3

f(2) = 2*2 + 1 = 5

Now we just put these values in their correspondent place on the table.

x: -2 | -1 | 0 | 1 | 2 |

y: -3 | -1 |  1 | 3 | 5  |

If you want to learn more about linear functions:

brainly.com/question/1884491

#SPJ1

8 0
1 year ago
Angle C is an inscribed angle of circle P. Angle C measure (17x-2) and arc AB measure (20x+10). Find X
jeyben [28]
10x + 5 = 16x - 1 
<span>6x = 6 </span>
<span>x = 1 </span>
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3 years ago
How does brainstorm,decide,work,enjoy help with motivation?​
Assoli18 [71]

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It helps because it gets you thinking. Personally, it would motivate me because that process itself is very helpful. Brainstorm will get you your idea, you can decide if you want to do it or not, then you work on it, and because you have the right attitude towards whatever you are working on, you'll enjoy it!

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3 years ago
Which expression has a value of 35 when p = 7?
Pavlova-9 [17]

Answer:

B) 5p

Step-by-step explanation:

If you substitute 7 in for each equation you will see that the answers are either 7, 38, or 32, which are not 35. But when you substitute 7 in for B, 5(7), and multiply it out you get 35. I hope this helps :)

3 0
2 years ago
Can someone PLEASE show me how to do this! If f (x) = x^2 + 3x +2/ x +3, then f’ (x) =
coldgirl [10]

Answer:

c

Step-by-step explanation:

The equation =( denominater * derivative of numerator - numerator * derivative of denominator) / denominator ^2

so the qstn is (x^2 + 3x +2) / (x+3)

apply the values as the above eqtn states

ie,[ (x+3) * derivative of (x^2 +3x + 2)] - [( x^2 +3x + 2) *derivative of (x+3)] /

(x+3)^2

derivative of numerator, (x^2 +3x + 2) is 2x+3

" of denominator, (x+3) is 1

so we get

[(x+3)* (2x + 3 ) - (x^2 +3x + 2) *1 ] / (x+3)^2

open the brackets

[ 2x^2 + 3x + 6x + 9 - x^2 +3x + 2 ] / (x+3)^2

subtract similar terms and we get the final answer in option c

7 0
3 years ago
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