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vladimir1956 [14]
3 years ago
12

Determine the equation of the circle graphed below

Mathematics
1 answer:
kap26 [50]3 years ago
6 0

Answer:

(x + 3)² + (y - 4)² = 32

Step-by-step explanation:

Since we are given the coordinates of the centre and a point on the circle, we can use distance formula to find the radius.

r = √((1 - (-3))² + (8 - 4)²)

r = √(16 + 16)

r = √32

Now, formula for equation of a circle with centre (h, k) is;

(x - h)² + (y - k)² = r²

Our centre is (-3, 4) with r = √32

Thus;

(x - (-3))² + (y - 4)² = (√32)²

(x + 3)² + (y - 4)² = 32

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Suppose you flip a coin and spin a spinner that is divided into 8 equal regions. Of the 8 equal regions, 3 are red, 4 are black
atroni [7]

Answer:

18.75%

Step-by-step explanation:

The probability of the coin is 1/2, because it only has two options (tail or head).

Now, in the case of roulette, it has a total of 8 options, and the red region has 3 parts, that is, of the 8 options, roulette 3 is red, therefore the probability is 3/8

Now the final probability is the multiplication of the probability of both events:

(1/2) * (3/8) = 0.1875 s 18.75%

In other words, the probability of these two events happening, that the tail comes out and is red, i

7 0
3 years ago
Yuan reads 10 books from the library each month for x months in a row. Write an expression to show
harina [27]

Answer:

10x

20

Step-by-step explanation:

expression

10x

for x = 2

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3 0
3 years ago
The product of two positive numbers is 750. The first number is 5 less than the second number. The equation x(x – 5) = 750 can b
bezimeni [28]
Ab=750 and a=b-5, using this value of a in the original equation gives you:

(b-5)b=750

b^2-5b=750

b^2-5b-750=0

b^2-30b+25b-750=0

b(b-30)+25(b-30)=0

(b+25)(b-30)=0

b=30 


4 0
4 years ago
Read 2 more answers
Find the surface area of the prism.
Leto [7]

SA = (2 x 3 x 10) + (2 x 3 x 12) + (12 x 10 x 2)

SA = 60 + 72 + 240

SA = 372

So, the surface area of the prism is 372 in².

5 0
3 years ago
By rounding to one significant figure estimate 798/8*41
SpyIntel [72]

Answer:

Step 1: 798/ 8= 99.75

Step 2: 99.75 * 41 = 4089.75

The first significant figure is the first non-zero digit in a number. Therefore the first significant figure in 4089.75 is 4.

If the number following the value that you are rounding to (in this case, the first significant figure ie 4) is greater than or equal to 5, round up the value, ie add 1 to the number. Otherwise round down to the nearest whole number.

Since the number following the significant digit, 4, is zero we therefore round down the number.

Resulting in:

4000.

Therefore, your answer is 4000

5 0
3 years ago
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