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irina [24]
3 years ago
10

No step by step answers or links

Mathematics
1 answer:
inysia [295]3 years ago
6 0

Answer:

1. k = 15

2. d = 20

3. n = 3

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The general form of a circle is given as x^2 +y^2 +4x - 12y + 4 = 0.
MrRa [10]
Part 1) The general form of a circle is given as x²+y²<span> +4x - 12y + 4 = 0.

(a)What are the coordinates of the center of the circle?
(b)What is the length of the radius of the circle?

</span>x²+y² +4x - 12y + 4 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+4x)+(y²- 12y)=-4

Complete the square twice. Remember to balance the equation by adding the same constants to each side

(x²+4x+4)+(y²- 12y+36)=-4+4+36

Rewrite as perfect squares

(x+2)²+(y-6)²=36--------> (x+2)²+(y-6)²=6²
center (-2,6)
radius 6

the answer Part a) is 
the center is the point (-2,6)

the answer Part b) is
the radius is 6

Part 2) <span>A 10-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 9.2 feet up on the side of the house.
(a)What is the measure of the angle formed by the ladder and the level ground? Round your answer to the nearest degree.

see the picture attached N 1 to better understand the problem

we know that
sin </span>∅=opposite side angle ∅/hypotenuse
opposite side angle ∅=9.2 ft
<span>hypotenuse=10 ft
so
sin </span>∅=9.2/10-----> 0.92
∅=arc sin (0.92)------> ∅=66.93°-----> ∅=67°
<span>
the answer Part a) is 
67</span>°
<span>
Part b) </span><span>The same 10-foot long ladder is placed against the building according to OSHA’s safety standard. 
What is the distance between the foot of the ladder and the foot of the building? Round your answer to the nearest tenth.
</span>
see the picture attached N 2 to better understand the problem

cos 75=adjacent side angle 75/hypotenuse
adjacent side angle 75=AC
hypotenuse=10 ft
so
cos 75=AC/10---------> AC=10*cos 75----> AC=2.59 ft----> AC=2.6 ft

the answer Part b) is
Distance between the foot of the ladder and the foot of the building is 2.6 ft

5 0
3 years ago
Someone please help me and thank you:)
dangina [55]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
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Em relação à P.A (28, 36, 44, 52, ...) qual é a sua razão? *
Kipish [7]

Answer:

she want all answers to be written in English

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3 years ago
Mia discovered that if she takes half her age and adds 3, it produces the same result as taking one-fourth of her age and adding
Rainbow [258]

Answer:

she would be 16 years old

Step-by-step explanation:

hope this helps!! :D

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3 years ago
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The lowest common denominator of , , and is:<br><br> 6<br> 12<br> 24
djyliett [7]
3
the awnser is 3 lol i have to type a bunch of stuff so i can reach the minumum number of words so mfnfnjfkf bfnmfkfnfklfnfm f fkf 
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