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gregori [183]
3 years ago
5

Write the standard equation for the circle center (-6,8) that passes through (0,0)

Mathematics
1 answer:
Reil [10]3 years ago
4 0

Answer:

D

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

here (h, k) = (- 6, - 8), thus

(x + 6)² + (y + 8)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)

r = \sqrt{(0+6)^2+(0+8)^2} = \sqrt{36+64} = \sqrt{100} = 10

Hence

(x + 6)² + (y + 8)² = 100 → D

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- (2x+y+2z) = -(2(x+z) + y)
5 0
3 years ago
Which expressions show the expanded form for 200.06? Choose all answers that are correct. A. 2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/
saveliy_v [14]

Answer:

Therefore,

Correct options are

A)  2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

D) 2 × 100 + 6 × 1/100

Step-by-step explanation:

Given:

Number is

200.06

For option A)

2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

= 200 + 0 + 0 + 0.06

= 200.06

Which is CORRECT.

For option B)

2 × 100 + 0 × 1 + 0 × 1/100 + 6 × 1/1,000

= 200 + 0 + 0 + 0.006

=200.006

Which is INCORRECT.

For option C)

2 × 100 + 6 × 1/10

= 200 + 0.6

= 200.6

Which is INCORRECT.

For option D)

2 × 100 + 6 × 1/100

= 200 + 0.06

= 200.06

Which is CORRECT.

Therefore,

Correct options are

A)  2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

D) 2 × 100 + 6 × 1/100

5 0
2 years ago
Cicily wants to estimate the answer to this problem to see if her answer is reasonable.
suter [353]
I believe that the answer is A- 8600-5300
Hope this helps!
3 0
3 years ago
The town of Fitzgerald wants to build a coffee house halfway between Oak Station and Pine Station. Where should it be located (l
Lubov Fominskaja [6]

Answer:

1, 1/2

Step-by-step explanation:

the coordinates would be Oak station(8,8) and Pine Station(-6,-7).

The midpoints would be

=[8+(-6)]/2 , [8+(-7)]/2

=2/2 , 1/2

=1, 1/2

4 0
3 years ago
The table shows the results of a survey of college students. Find the probability that a
MrRissso [65]

Answer:

<h2>D. 0.389</h2>

Step-by-step explanation:

We need to find the probability of a studend taking a humanities class, given the student is male.

In this case, the total number of outcomes 180, which is the total number of male students. The possible event is 70, which is all male students which take humanities class.

So, the probability is

P=\frac{70}{180} \approx 0.389

Therefore, the right answer is D., the probability that a student is taking a humanities class, given the student is male, is 0.389, rounded to the nearest thousandth.

3 0
2 years ago
Read 2 more answers
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