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maxonik [38]
3 years ago
11

Write the equation of this circle in standard form.

Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0

Answer:

x² + y² = 16

Step-by-step explanation:

(x-h)² + (y-k)² = r²   -- The standard form of equation of circle

(x-0)² + (y-0)² = 4²

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Please help me with this. It needs to be done soon, so I’d appreciate anyone who answers this.
creativ13 [48]

Answer:

A. 4 1/2 ==+ 3

B. 2 + 4

C. 1/2 + 1/2

D. 2 1/2 + 1

E. 4 1/2 + 2

Step-by-step explanation:

Read the coordinates and just like figure out the order which it's like 1 through 5 but wit fractions. hope this helps.

8 0
3 years ago
The equation of a circle is (x + 4)2 + (y + 6)2 = 16. Determine the length of the radius.
Viefleur [7K]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 4)² + (y + 6)² = 16 is in this form

with r² = 16 ⇒ r = \sqrt{16} = 4

---------------------------------------------------------------

given (h, k) = (5, 2) and r = 20, then

(x - 5)² + (y - 2)² = 400 ← represents the delivery area


5 0
3 years ago
out of some students appeared in an examination 80% passed in mathematics 75% passed in english and 5% failed in both subjects i
Advocard [28]

Answer:

5000 students appeared in the examination.

Step-by-step explanation:

We solve this question using Venn probabilities.

I am going to say that:

Event A: Passed in Mathematics

Event B: Passed in English.

5% failed in both subjects

This means that 100 - 5 = 95% pass in at least one, which means that P(A \cup B) = 0.95

80% passed in mathematics 75% passed in english

This means that P(A) = 0.8, P(B) = 0.75

Proportion who passed in both:

P(A \cap B) = P(A) + P(B) - P(A \cup B)

Considering the values we have for this problem

P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.8 + 0.75 - 0.95 = 0.6

3000 of them were passed both subjects how many students appeared in the examination?

3000 is 60% of the total t. So

0.6t = 3000

t = \frac{3000}{0.6}

t = 5000

5000 students appeared in the examination.

4 0
3 years ago
A scale on a map is 1:5000000 Two towns are 7cm apart on the map. What is the actual distance between the towns
Andrej [43]

Answer:350km

Step-by-step explanation:

6 0
3 years ago
Men’s heights are normally distributed with a mean of 71.8 inches and a standard deviation of 3.4 inches. A social organization
nadya68 [22]

Answer: 2.28%

Step-by-step explanation:

μ = 71.8

σ = 3.4

X < 65

P(X < 65) = P (Z < 65 - 71.8/3.4) = P (Z < -2)

According to the table for the normal distribution attached, it will give us

P (z < Z < 0), this way, to find the P(Z < z), we need to do 0.5 - P:

0.5 - P(-2 < Z < 0) = 0.5 - 0.4772 = 0.0228

In percentage: 0.0228*100 = 2.28%

8 0
3 years ago
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