A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is units. The point (-7, ) lies on this circle.How would I do this?

Answers

Answer 1

Answer: circle formula
(x-h)^2+(y-k)^2=r^2 where (h,k) is the center
and r=radius

to find the radius
we are given one of the points and the center
distnace from them is the radius
distance formula
D= $\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}$
points (-3,2) and (1,5)
D= $\sqrt{(1-(-3))^(2)+(5-2)^(2)}$
D= $\sqrt{(4)^(2)+(3)^(2)}$
D= $√(16+9)$
D= $√(25)$
D=5

center is -3,2
r=5
input
(x-(-3))^2+(y-2)^2=5^2
(x+3)^2+(y-2)^2=25 is equation
radius =5
input -7 for x and solve for y
(-7+3)^2+(y-2)^2=25
(-4)^2+(y-2)^2=25
16+(y-2)^2=25
minus 16
(y-2)^2=9
sqqrt
y-2=+/-3
add 2
y=2+/-3
y=5 or -1

the point (-7,5) and (7,-1) lie on this circle

radius=5 units
the points (-7,5) and (-7,1) lie on this circle

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A sighting from sea level to the top of a lighthouse was 60°. The lighthouse is known to rise 180 feet above sea level. What is the distance (to the nearest foot) between the observer and the base of the lighthouse?Can someone explain this one for me?

Mateo is doing an experiment for Physics class. He drops a bouncy ball off abalcony from a height of 12 meters. The ball's next bounce is always 75% of
the height of the previous bounce. Let n = bounce number. Before the ball is
dropped, n = 0, because the ball has not yet bounced. Which explicit formula
represents the height of the ball after n bounces?

Answers

Final answer:

The height of the ball after n bounces is given by the formula a_n = 12 * 0.75^(n - 1). This formula represents a geometric sequence where each height is 75% of the previous height.

Explanation:

The height the bouncy ball reaches after each bounce is a geometric sequence, where each subsequent height is found by multiplying the previous height by the common ratio, 75%, or 0.75. The initial term is the original height from which the ball is dropped, which is 12 meters.

The explicit formula for a geometric sequence is a_n = a_1 * r^(n - 1). Replacing a_1 with 12 (the initial height), r with 0.75 (the common ratio), and n with the bounce number, the explicit formula to find the height of the ball after n bounces is a_n = 12 * 0.75^(n - 1).

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Answer:

Max. height following bounce # n is 12(¾)n because each prior height is multiplied by three fourths.

Step-by-step explanation: it jus is

Whats 2+34233-2943+291*45=

what the anwser??????????????

Answers

Answer:

44387

Step-by-step explanation:

Answer:

1421235

Step-by-step explanation:

2 + 34233 = 34235 - 2943 = 31292 + 291 = 31583 x 45 = 1421235

2 + 34233 = 34235 - 2943 = 31292 + 291 = 31583 ➗ 45 = 701.844444444

If its multiplication the answer is = 1421235

If division the answer is = 701.844444444 (calculator) or 701 r 38 (my brain)

Question: 11.23 x 10 to the power of 5, the answer is 11.2300000.

Explanation: multiple 10 x 10 x 10 x 10 x 10 = 10,000, then multiple 11.23 x 10,000 = 112300000, add the decimal places = 11.2300000.

Question: 11/20 a repeating or terminating decimal,

Answer: is terminating.

Question: 7 * 73 + 43, the answer is 554.

Explanation: multiple 7 x 73 = 511 + 43 = 554. If division then divide 7 into 73 = 10.4285714286 + 43 = 53.4285714286 (calculator answer). 7 into 73 = 1 r 3 = 1.3 + 43 = 44.3 or 44 r 3 (my brain answer).

I know some of the questions arent part of the asked one, but the plataform didnt let me answer them any but here.

I know I asnwered it too late, sorry.

20 is 12.5$ of what number?

Answers

Asumming you mean "20 is 12.5% of what number?", the answer is 160.

Luisa has 12 playing cards.she place 2 out of every 3 cards face up

Answers

If you're asking how many are left down - the answer would be 4 cards. If how many are face up, the answer would be 8 cards.

Final answer:

Luisa places 8 out of 12 playing cards face up. This is determined by finding the fraction of cards that are face up (2 out of 3) and multiplying this by the total number of cards (12).

Explanation:

The question involves the understanding of fractions and proportions which is a part of Mathematics. Luisa has a total of 12 playing cards. If she places 2 out of every 3 cards face up, it is important to calculate the number of face-up cards. Every 3 cards, 2 are face up. Since 12 cards is equal to 4 groups of 3, multiply that number by 2 (the number of face-up cards in each group). Therefore, Luisa places 8 cards face up.

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The average rate of change of a function f(x) = x2 between x = 3 and x = 5 isaverage rate of change =
X
5-3
8

Help please thank you

Answers

Answer:

average rate of change = 8

Step-by-step explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

$(f(b)-f(a))/(b-a)$

here the closed interval is [ 3, 5 } , then

f(b) = f(5) = 5² = 25

f(a) = f(3) = 3² = 9

Then

average rate of change = $(25-9)/(5-3)$ = $(16)/(2)$ = 8

Find the perimeter of a rectangle whose length is 3 square root 5 and width is 2 square root 7

Answers

The rectangle has a length of 3√5 and a width of 2√7. The perimeter is calculated as 23.9 approximately.

Use the concept of a rectangle defined as:

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Given that,

Length of the rectangle: 3√5

Width of the rectangle: 2√7

To find the perimeter of a rectangle,

Use the formula P = 2(length + width).

In this case,

The length is 3√5 and the width is 2√7.

Applying the formula, we get:

P = 2(3√5 + 2√7)

To simplify this expression, distribute the 2:

P = 6√5 + 4√7

p ≈ 23.9