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
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P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
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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

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given below

The solution is given below
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 6 gallons =$15

Cost of 1 gallon =15/6

                           =$2.5

Cost of 7 gallons=$2.5 * 7

                           =$17.5

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