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I am Lyosha [343]
3 years ago
5

Question 7 of 10

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

D

Step-by-step explanation:

equation is y=mx+b

b is y intercept

m is slope

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Select the correct answer from each drop-down menu.
serious [3.7K]

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

6 0
3 years ago
Write in simplest form 3m⋅4⋅n⋅n<br><br><br>​
Sedbober [7]

Hello from MrBillDoesMath!

Answer:

12 m n^2

Discussion:

3m * 4 * n * n  =                       => 3* 4 = 12

12 m * n * n                              => as n*n = n^2

12 m n^2

Thank you,

MrB

7 0
3 years ago
Read 2 more answers
Find the number of terms in the sequence and find the sum of the sequence: <br><br> 5+9+13+...+145
SashulF [63]
145-13-9-5 that what your looking for
8 0
1 year ago
After a bride has interviewed 7 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 4 DJs. In how ma
Alex17521 [72]

Answer:

840

Step-by-step explanation:

Given

DJs = 7

To\ pick = 4

Required

Determine the number of rankings

The term "ranking" as used in this question implies permutation and the required is calculated using:

^nP_r = \frac{n!}{(n-r)!}

Where

n = 7

r = 4

So:

^nP_r = \frac{n!}{(n-r)!}

^7P_4 = \frac{7!}{(7-4)!}

^7P_4 = \frac{7!}{3!}

^7P_4 = \frac{7 * 6 * 5 * 4 * 3!}{3!}

^7P_4 = 7 * 6 * 5 * 4

^7P_4 = 840

<em>Hence, number of ranking is 840</em>

7 0
3 years ago
Find the 90 th derivative of the function ƒ(x)=cos(x)
Inessa [10]
F(x) = cos x
f'(x) = -sin x
f''(x) = -cos x
f'''(x) = sin x
f''''(x) = cos x

90/4 = 22 Remainder 2
Therefore, 90th derivative of f(x) = cos x is -cos x.
5 0
3 years ago
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