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inessss [21]
3 years ago
12

Find the diameter of a circle if the radius is equal to 8?

Mathematics
1 answer:
Andru [333]3 years ago
8 0
The diameter is 16 so that is the answer<span />
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Point B has coordinates ​(​1,2​). The​ x-coordinate of point A is -8. The distance between point A and point B is 15 units. What
Xelga [282]

Answer:

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}} (1)

Where:

l_{AB} - Length of the line segment AB.

x_{A}, x_{B} - x-coordinates of points A and B.

y_{A}, y_{B} - y-coordinates of points A and B.

If we know that l_{AB} = 15, x_{A} = -8, x_{B} = 1 and y_{B} = 2, then the possible coordinates of point A is:

\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15

81 + (2-y_{A})^{2} = 225

(2-y_{A})^{2} = 144

2-y_{A} = \pm 12

There are two possible solutions:

1) 2-y_{A} = -12

y_{A} = 14

2) 2 - y_{A} = 12

y_{A} = -10

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

8 0
3 years ago
Write the slope and y-intercept of this linear equation: 3y + 6 = –2x
netineya [11]

Answer:

slope = -2/3

y-intercept = -2

Step-by-step explanation:

3y + 6 = -2x

Conver to slope intercept form

3y = -2x - 6

y = -2/3x - 2

Follow the form y = mx + b, so m is the slope and b is the y-intercept

6 0
3 years ago
A parent died and left an estate to four children. One inherited 1/2 of the estate, the second inherited 1/8, And the third inhe
cluponka [151]
The fourth child inherits 2/8
7 0
3 years ago
a theater is designed with 15 seats in the first row, 19 in the second, 23 in the third, and so on. if this seating pattern cont
marusya05 [52]

Answer:

<u>131 seats</u> are in the 30th row.

Step-by-step explanation:

The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.

Now, to find the number of seats in the 30th row.

So, we get the common difference(d) from the arithmetic sequence first:

19-15=4.

Thus, d=4.

So, the first tem a(1) = 15.

The number of last row (n) = 30.

Now, to get the number of seat in the 30th row we put formula:

a(n) = a(1) + d(n-1)

a(30)=15+4(30-1)

a(30)=15+4\times 29

a(30)=15+116

a(30)=131

Therefore, 131 seats are in the 30th row.

4 0
3 years ago
The mean number of words per minute (wpm) read by sixth graders is 89 with a variance of 625. if 96 sixth graders are randomly s
Luba_88 [7]
The z-score of the information given is:
z=(x-μ)/σ
where
μ-mean
σ- standard deviation

from the information given:
x=93.02
μ=89
σ=√625=25
hence
z=(93.02-89)/25
z=0.1608
thus
P(X≥x)=1-0.5636=0.4364=43.64%
6 0
3 years ago
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