MATHEMATICS HIGH SCHOOL

A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?(x - 1)2 + (y + 2)2 = 3

(x + 1)2 + (y - 2)2 = 3

(x + 1)2 + (y + 2)2 = 9

(x + 1)2 + (y - 2)2 = 9

Answers

Answer 1
Answer:

Answer:

(x+1)^2+(y-2)^2=9

last option is correct.

Step-by-step explanation:

We have been given that

Center: (-1,2)

Radius :  3 units

We know that the standard form of the circle is given by

(x-h)^2+(y-k)^2=r^2

Here, h = -2, k = 2, and r=3

Substituting these values in the above formula, we get

(x+1)^2+(y-2)^2=3^2\n\n(x+1)^2+(y-2)^2=9

Therefore, last option is correct.
Answer 2
Answer: Hello,

Answer D

(x+1)²+(y-2)²=9

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you recently purchased an item the cost $84.99 before tax. the tax on the item was $7.22. what was the tax rate?

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is approximately 8.49 percent

How many 50s are in 2500

Answers

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BRAINLIST ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!1. A wooden plank is leaning against an outside wall of a building. The bottom of the plank is 3 ft from the wall. Find each of the following values, and show all your work.
(a) Find the approximate length of the plank. Round to the nearest tenth of a foot.
(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

2. A support wire is strung from a tree. The bottom of the wire is 24 ft from the tree. The length of the wire is 30 ft. Find each of the following values, and show all your work.
(a) Find the value of x. Round to the nearest tenth of a degree.
(b) Find the approximate height where the wire touches the tree. Round to the nearest foot.

Answers

Question 1:
(a) Using sine rule
ground/Sin 49 = plank/Sin 90

But sine 90 = 1, ground = 3 ft
Then,
3/Sin 49 = plank
Length of the plank = 3/Sin 49 ≈ 4.0 ft (rounded to nearest tenth)

(b) Height where the plank touches the wall

wall = Sqrt (plank^2 - ground^2) = Sqrt (4.0^2 - 3.0^2) ≈ 2.6 ft (Rounded to nearest tenth)

Question 2:
(a) Angle x
ground = 24 ft
support wire = 30 ft

Applying sine rule
support wire/Sin 90 = ground/Sin (90-x) ----- but Sin 90 = 1
Then,
Support wire = ground/Sin (90-x)
Sin (90-x) = ground/support wire = 24/30 = 0.8
90-x = Sin^-1(0.8) = 53.13 => x = 90-53.13 = 36.9°

(b) Height where the wire touches the tree (tree)
tree = Sqrt (support wire^2 - ground^2) = Sqrt (30^2 - 24^2) = 18 ft

Find the value of x.

Answers

(y)/(11)=(5)/(y)\n\ny^2=55\n\n\nx^2=5^2+y^2\n\nx^2=25+55\n\nx^2=80\n\nx=√(80)\n\nx=√(16\cdot5)\n\nx=4\sqrt5

What is the sale price

Answers

Answer:

the answer is $24

Step-by-step explanation:

more filler stuff

Answer:

8$

Step-by-step explanation:

to get the answer multiply the orignial price by .75

then subtract that number from the original.

if you dont mind giving a rating on this thanks :)

How can you simplify 24---
                                30

Answers

if you want to simplify 24/30.find any no. from which both can be divided like,2 then it will become 12/15 again a no. with which  both can be divided then it will become 4/5
therefore answer=4/5
please mark it the best
24/30 = 12/15 = 4/5
this is the simplified form
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