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inessss [21]
2 years ago
6

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2

+ (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Mathematics
2 answers:
Neporo4naja [7]2 years ago
7 0

Answer:

A & E

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

olga55 [171]2 years ago
3 0

Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

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

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

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A triangle with exterior angles is shown. A triangle sits on a line and forms 2 exterior angles on the left and right of the tri
NARA [144]

Answer:

Option 3.

Step-by-step explanation:

It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.

The top interior angle of the triangle is 40 degrees.

\angle BAC=40

From the given figure it is clear that

\angle ABC+2h=180               (Supplementary angle)

\angle ABC=180-2h

\angle ACB+2h=180               (Supplementary angle)

\angle ACB=180-2h

According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.

\angle ABC+\angle ACB+\angle BAC=180

(180-2h)+(180-2h)+40=180

Combine like terms.

(180+180+40)+(-2h-2h)=180

400-4h=180

-4h=180-400

-4h=-220

Divide both sides by -4.

h=\frac{-220}{-4}

h=55

The value of h is 55.

Therefore, the correct option is 3.

8 0
2 years ago
Read 2 more answers
In the figure above, two line segments in the x-y plane form a right triangle with the x-axis. What is the area of the triangle
Juli2301 [7.4K]
A = (1/2) * b * h
The base is 10; the x-value going from 0 to 10.
The perpendicular height is 2; the y-value going from 0 to 2
A = (1/2) * 10 * 2
A = 10 units ^2
7 0
2 years ago
What is the common difference between the elements of the arithmetic sequence below?
fredd [130]
All numbers in each number add up to 9, i dont know if you understand me, 
for example:
1+8=9
2+2+5=9
2+7=9
.....

3 0
2 years ago
Read 2 more answers
Adrienne has several receipts from recent transactions that she entered in her records. The receipts include an ATM receipt for
Rina8888 [55]

Answer:

D.

Step-by-step explanation:

Adrienne did not enter her ATM withdrawal correctly.

6 0
2 years ago
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In a regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample points in the sample space
posledela

Answer: a.) 40320

b.) 336

Step-by-step explanation:

since we have 8 possible positions, with 8 different candidates, then there are 8 possible ways of arranging the first position, 7 possible ways of arranging the Second position, 6 ways of arranging the 3rd position, 5 possible ways od arranging the 4th position, 4 possible ways of arranging the 5th position, 3 possible ways of arranging the 6th position, 2 possible ways of arranging the 7th position and just one way of arranging the 8th position since we have only one person left.

Hence, the Number of possible sample space for different 8 positions is by multiplying all the number of ways we have in our sample space which becomes:

8*7*6*5*4*3*2*1 = 40320.

b.) By the sample space we have, since we've been asked ti arrange for only the firat 3 positions, then we multiply just for the first 3ways of choosing the positions, this becomes:

8*7*6 = 336

5 0
1 year ago
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