09.06.2022

Activity 1 Know My Equation? Wnte the equation of each of the following circles given the center and the radius. Center Radius Equation in Standard Form 1 2 (3,7) origin 9 units 11 units 3 (- & 3) 14 units 4 (-5, -8) 3v3 units 16V/units 5 (11,-7)

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09.07.2023, solved by verified expert
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✒️CIRCLE EQUATIONS

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Write the equation of each circle of the following circles given the center and the radius.

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

» The equation of the circle in standard form is written as:

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

» Where (h,k) is the center and r is the radius. Substitute each given to get its equation.

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

#1. Center: (3,7), Radius: 9 units

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

#2. Center: (0,0), Radius: 11 units

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

#3. Center: (-8,3), Radius: 14 units

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

#4. Center: (-5,-8), Radius: 3√3 units

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

#5. Center: (11,-7), Radius: 16√2 units

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

Activity 1 Know My Equation? Wnte the equation, №18011092, 09.06.2022 12:11

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Mathematics
Step-by-step answer
P Answered by Specialist
✒️CIRCLE EQUATIONS

\red{••••••••••••••••••••••••••••••••••••••••••••••••••}

\underline{\mathbb{DIRECTIONS:}}

Write the equation of each circle of the following circles given the center and the radius.

\red{••••••••••••••••••••••••••••••••••••••••••••••••••}

\underline{\mathbb{ANSWERS:}}

\quad\large\rm» \:\: 1. \: \green{(x - 3)^2 + (y - 7)^2 = 81}

\quad\large\rm» \:\: 2. \:\: \green{x^2 + y^2 = 121}

\quad\large\rm» \:\: 3. \: \green{(x + 8)^2 + (y - 3)^2 = 196}

\quad\large\rm» \:\: 4. \: \green{(x + 5)^2 + (y + 8)^2 = 27}

\quad\large\rm» \:\: 5. \: \green{(x - 11)^2 + (y + 7)^2 = 512}

\red{••••••••••••••••••••••••••••••••••••••••••••••••••}

\underline{\mathbb{SOLUTIONS:}}

» The equation of the circle in standard form is written as:

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

» Where (h,k) is the center and r is the radius. Substitute each given to get its equation.

\red{••••••••••••••••••••••••••••••••••••••••••••••••••}

#1. Center: (3,7), Radius: 9 units

(x - 3)^2 + (y - 7)^2 = 9^2(x - 3)^2 + (y - 7)^2 = 81

\red{••••••••••••••••••••••••••••••••••••••••••••••••••}

#2. Center: (0,0), Radius: 11 units

(x - 0)^2 + (y - 0)^2 = 11^2x^2 + y^2 = 121

\red{••••••••••••••••••••••••••••••••••••••••••••••••••}

#3. Center: (-8,3), Radius: 14 units

[x - ( \text - 8)] ^2 + (y - 3)^2 = 14^2(x + 8)^2 + (y - 3)^2 = 196

\red{••••••••••••••••••••••••••••••••••••••••••••••••••}

#4. Center: (-5,-8), Radius: 3√3 units

[x - ( \text - 5)] ^2 + [y - ( \text - 8)] ^2 = (3 \sqrt{3})^2(x + 5)^2 + (y + 8)^2 = 9(3)(x + 5)^2 + (y + 8)^2 = 27

\red{••••••••••••••••••••••••••••••••••••••••••••••••••}

#5. Center: (11,-7), Radius: 16√2 units

(x - 11)^2 + [y - ( \text - 7)] ^2 = (16 \sqrt{2})^2(x - 11)^2 + (y + 7)^2 = 256(2)(x - 11)^2 + (y + 7)^2 = 512

\red{••••••••••••••••••••••••••••••••••••••••••••••••••}

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Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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