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xenn [34]
2 years ago
10

What is the center of (x + 1)2 + (y - 3)2 = 9?

Mathematics
1 answer:
katrin2010 [14]2 years ago
5 0
The equation of a circle with center at (h,k) is
(x-h)^2+(y-k)^2=radius^2

given
(x-(-1))^2+(y-3)^2=9
center is (-1,3)

first option
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Please help need help on this
UkoKoshka [18]
Looking at the data it looks like a line. So the answer will be in y+mx+b format.

Knowing it is a line eliminates answers b and c.
looking at options a is says it starts at about .1 when x is zero. We can see this looks pretty close as the left-most dot is below 1 already.

The slope on a is 1/2--> increasing 1 vertically for every 2 horizontally. The pattern mostly follows that rule.

Therefore a (y=1/2x+.1) would be the correct answer
7 0
3 years ago
Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P: y = 9x^2 + 5 ; P (2,41)
Flauer [41]

Answer:

(a) 36

(b) y = 36x-31

Step-by-step explanation:

(a) dy/dx = 18x

slope of tangent at (2, 41) = 18(2)

= 36

(b) using y-y1 = m(x-x1)

y-41 = 36(x-2)

y = 36x-31

6 0
3 years ago
Assistance if you please?
dybincka [34]

Answer:

38°

Step-by-step explanation:

a whole circle is equal to 360 degrees so if 52 +90= 142 the opposite side also equals 142 because they are clearly the same size. ED and AB are also the same sizes. if 360- (142+142) = 284. then you will have to divide 284 by 2. so 284÷2=76 and 76÷2=38°

hope you understand, I not that good at explaining things

also I don't know what the m means in mED

7 0
2 years ago
The owner purchases 5 buckets, 10 brushes, 48 towels, and 1 case of air fresheners for the car wash. The total cost of the purch
Allushta [10]
5 buckets at $2.89 = 5($2.89) = $14.45
10 brushes at $7.91 = 10($7.91) = $79.10
48 towels at $0.36 = 48($0.36) = $17..28

These three added together makes $110.83.  This leaves us $144.08-$110.83=$33.25 for the cost of the case of air fresheners.
8 0
3 years ago
The volume of a boys' basketball is 434 cubic inches. Dan would like to get a ball
Nataly_w [17]

Answer:

The correct answer is A. 9.4 inches.

Step-by-step explanation:

Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:

4/3 x 3.14 x X ^ 3 = 434

4.186 x X ^ 3 = 434

X ^ 3 = 434 / 4.186

X = 3√ 103.662

X = 4.7

In turn, since the radius of a sphere is equal to half its diameter, the diameter of the basketball is 9.4 inches (4.7 x 2).

4 0
3 years ago
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