Mathematics High School

Determine the equation of the circle graphed below.

Answers

Answer 1

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

(h, k) = center of the circle

r = radius of the circle

Center = (2, 0)

Radius = 7

Equation: (x - 2)^2 + (y - 0)^2 = 49

Answer: (x - 2)^2 + y^2 = 49

Hope this helps!

Related Questions

Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?

7 inches
11 inches
15 inches
5 inches

Need help Bad

Answers

Answer:

D) 5 inches

Step-by-step explanation:

Given

A box with the volume of 150 in³

Dimensions of the box are

2, x and x + 10, where x- width, (x + 10) - length

The volume of the box is

V = lwh

Substitute the values and solve the equation for x

x(x + 10)*12 = 150x(x + 10) = 75x² + 10x - 75 = 0x² - 5x + 15x - 75 = 0x(x - 5) + 15(x - 5) = 0(x - 5)(x + 15) = 0x - 5 = 0 or x + 15 = 0x = 5 or x = - 15 (discarded as negative value)

The width of the box is 5 in

Correct choice is D

What is the area of a triangle with a base of 9 units and a height of 7 units?

Answers

Answer:

31.5 units.

Step-by-step explanation:

The area is the height times the base divided by 2.

9x7 = 63

63/2 = 31.5

A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stio, what is the probability they will wait for no more than 20 minutes?

Answers

Answer:

≈ [tex]44.4%[/tex][tex]%[/tex]%

Step-by-step explanation:

The person will wait for no more than 20 minutes if they arrive when the bus is going to stop in 20 minutes, which means that they must arrive 25 minutes after the previous bus stops. So the probability that the person will not wait for more than 20 minutes will be [tex]\frac{20}{45}[/tex] which is about 44.4%.

Fine the length of the third side. If necessary, write in simplest radical form

Answers

Answer:

7.2

Step-by-step explanation:

(6)^2 + (4)^2

36 + 16

square root of 52 = 7.2

The sum of two integers is 9 and their product is 18. What are the integers?

Answers

Answer:

The integers are 2.

Step-by-step explanation:

Answer: 3 and 6

Step-by-step explanation:

3+6=9

3x6=18

A bag contains 5 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red

Answers

Answer:

----

153

15=6+3+1

153=18×17÷2

The area of a rectangle is 20. The length is 5, and the width is the √x. What is the value of x? What is the width of the rectangle?
A. The value of x is 4. The width is 16.
B. The value of x is 16. The width is 4 or –4.
C. The value of x is 4. The width is 2.
D. The value of x is 16. The width is 4.

Answers

Answer:

Step-by-step explanation:

5([tex]\sqrt{x}[/tex]) = 20 Divide by 5

[tex]\sqrt{x}[/tex] = 4 Square both sides

x = 16

Widths can't be negative

Answer: D

Step-by-step explanation:

A = LW

[tex]\sqrt{x}[/tex] * 5 = 20

[tex](\sqrt{x} * 5)^{2} = 20^{2}[/tex] (square both sides)

x * 25 = 400

25x = 400

[tex]\frac{25x}{25} = \frac{400}{25}[/tex] (divide both sides by 25)

x = 16

[tex]\sqrt{16} = 4[/tex]

x = 16, and the width is 4.

The circumference of a circle is approximately 43.96 centimeters. what is the radius of the circle? use 3.14 for radius.

Answers

Answer:

7 cm

Step-by-step explanation:

The circumference of a circle is given in terms of its radius by the formula ...

C = 2πr . . . . where r represents the radius

Using the given values in the formula, we can find the radius to be ...

C/(2π) = r

43.96/(2×3.14) = r = 7 . . . . cm

The radius of the circle is 7 cm.

Write the converse of the following statements:
1. If two angles are both obtuse, the two angles are equal.
2. If 3 - 2x = 13, then x = -5.
3. If 2 angles are supplementary, then they are not equal.

Answers

For the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.

What is the converse of a statement?

A conditional statement with the antecedent and effect reversed is known as a converse statement.

We have statement:

1. If two angles are both obtuse, the two angles are equal.

Converse: The two angles are equal if the two angles are both obtuse.

2. If 3 - 2x = 13, then x = -5.

Converse: x = -5 if the equation is 3 - 2x = 13

3. If 2 angles are supplementary, then they are not equal.

Converse: Two angles are not equal if 2 angles are supplementary.

Thus, for the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.

Learn more about the converse of a statement here:

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You must really like math to want to answer this ngl

Answers

Answer:

a) 2/10

b) 3/20

c) option 2

Step-by-step explanation:

Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house. how long does it take jasmin to rake leaves at the second house.

Answers

The Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house.

From the problem:
[tex]= \rm 2\dfrac{1}{3}\times \dfrac{1}{2}[/tex]

[tex]= \rm \dfrac{7}{3}\times \dfrac{1}{2}[/tex]

[tex]= \rm \dfrac{7}{6}[/tex]

[tex]= \rm 1\dfrac{1}{6}[/tex]

Thus, the Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.

Learn more about the fraction here:

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help me please!!! i cant do these

Answers

Answer:

sec(B)=b. ab/bc

sin(B)=c. ac/ab

csc(B)=f. ab/ac

cot(B)=a. bc/ac

tan(B)=e. ac/bc

cos(B)=d. bc/ab

Step-by-step explanation:

SOHCAHTOA

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

SHACHOCotAO

Secant=Hypotenuse/Adjacent

Cosecant=Hypotenuse/Opposite

Cotangent=Adjacent/Opposite

What is -8.2 ÷ 4.32 = ?

Answers

Answer:

-8.2 / 4.32 is an infinite nummber but an aproximate is -1.9 or -2

Step-by-step explanation:

How many millimeters are in 27 centimeters? (2 points)
a
27 mm
Ob
270 mm
Ос
2,700 mm
Od
27,000 mm

Answers

Answer: B) 270 mm

Step-by-Step Explanation:

We know,
1 cm = 10 mm
1mm = 1/10 cm

Therefore,
27 cm = 27 * 10 = 270 mm

Two whole number, three over five of the pupils in a school are boys. If there are 96 girls and the school,how many pupils are there in the school?

Answers

Answer:

106 students

Step-by-step explanation:

If you take the 2 3/5 and covert it into a whole number by: 2×3+5 = 10

and then you have 96 girls so you add the whole number you got that is 10 and the 96 girls

=96+10= 106 students

⋆ ˚｡⋆୨୧˚hope this helped˚୨୧⋆｡˚ ⋆

substitution. y = x − 35 y=-4x

Answers

Answer:

(7, - 28 )

Step-by-step explanation:

y = x - 35 → (1)

y = - 4x → (2)

substitute y = x - 35 into (2)

x - 35 = - 4x ( add 4x to both sides )\

5x - 35 = 0 ( add 35 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

substitute x = 7 into either of the 2 equations

substituting into (1)

y = 7 - 35 = - 28

solution is (7, - 28 )

helpppppopppppoppppppp

Answers

answer : A
write as improper fraction,
5/4 / 39/8
5/4 x 8/39 = 40/156
40/156 = 10/39

I did an assignment wit this question and I’m almost positive it’s a :))

Last semester 150 out of thwhat is the 800 student at jungle junior high made the honor roll
what percent of the students made the honor roll

Answers

Answer:

Your sentence got cut out or sum.

Step-by-step explanation:

I'm assuming it's asking: What is 150 out of 800?

If so:

150/800 --> 3/16

3/16 --> Percent Form: 18.75%

Final Answer: 18.75%

Which is the graph of the circle (x−2)2+(y−1)2=25?

Answers

Answer: y=-x+31/2

Step-by-step explanation:

2x-4+2y-2=25

2y=-2x+31

y=-x+31/2

a girl exercises every day for half an hour how many minutes in total for over 5 days

Answers

Answer:

150 minutes

Step-by-step explanation:

30 × 5 = 150 minutes

Mala walks her dog 3 times a day.
Each walk 3/4 ismile
Which expression tells how many miles Mala walks her dog each day?

Answers

Answer:

3/4 x 3 (top right)

Step-by-step explanation:

one you selected is incorrect

help asap pls pls pls

Answers

Answer:

the answer is 13, all you had to do was substitute 5 for N, so all you had to do was 3 + 2(5) which is 13

Glass A contains 100 ml of water and glass B contains 100 ml of wine. A 10 ml spoonful of wine is taken from Glass B and mixed thoroughly with the water in Glass A. A 10 ml spoonful of the mixture from A is returned to B. Is there now more wine in the water or more water in the wine

Answers

Answer:

More wine in the water

Step-by-step explanation:

Hope this helped

the formula for converting degrees fahrenheit (f) to degrees kelvin (k) is:
solve for f, in terms of k
k=5/9(f+459.67)

Answers

Answer:

See below

Step-by-step explanation:

K = 5/9 (F + 459.67) Multiply both sides by 9/5

9/5 K = F + 459.67 Subtract 459.67 from both sides

9/5 K - 459.67 = F

Evaluate 1/4 c + 3d when c = 6 and d = 7

Answers

Answer:

SolutioN :

Just plug in the values of c & d in the given expression and calculate :

[tex] \longrightarrow \bf \: \frac{1}{4} \times 6 + 3 \times 7[/tex]

[tex] \longrightarrow \boxed{\bf{ \frac{45}{2} }}[/tex]

Our final answer is 45/2 .

--------------HappY LearninG <3 -------

[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

Evaluate 1/4c+3d when c=6, and d=7.

[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

Replace c with 6, and d with 7:-

[tex]\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}[/tex]

[tex]\bigstar[/tex] On further simplification,

[tex]\Large\text{$\displaystyle\frac{6}{4} +21$}[/tex]

[tex]\bigstar[/tex] On further simplification,

[tex]\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}[/tex]

[tex]\bigstar[/tex] Adding the numerators,

[tex]\Large\text{$\displaystyle\frac{90}{4}$}[/tex]

[tex]\bigstar[/tex] Finally, Reducing the fraction:-

[tex]\Large\text{$\displaystyle\frac{45}{2}$}[/tex]

[tex]\Uparrow[/tex] [tex]\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}[/tex]

Good luck with your studies.

[tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

Find the volume of the cylinder.

Answers

Answer:

120 i am sorry if i am wrong

Step-by-step explanation:

the volume of the cylinder is 120 cm
I have tried my hardest on studying this
question i am sorry if its wrong

Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. the heights are listed below. which line plot represents the data correctly? 7 1 2 7 7 1 2 6 3 4 7 1 4 7 1 4 7 1 4 7 6 1 2 7 3 4 7 3 4 6 3 4 8 1 4 7 7 1 2 7 7 1 4 7 7 1 2 7 1 2 a. a line plot named b. a line plot named c. a line plot named d. a line plot named

Answers

The line plot that represents the height of the flowers in the garden is the line plot named a.

What is a line plot?

A line plot is a diagram that is used to represent data. The line plot is made up of dots that are used to represents the frequency with which the number appears.

Please find attached the line plot that represents the answer. To learn more about line plots, please check: https://brainly.com/question/16321364

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5 / 949 If they decide to drive 949 mi to Denver instead, how many miles will they drive each day?

Answers

Data is unclear.
If the question is asking how many miles will be driven each day over the course of 5 days in order to reach 949 miles, the answer is 949/5=189.8

Solve for X
13=270 (0.5)^x/7

Answers

Answer:

Step-by-step explanation:

What is the complete factorization of x2 4x − 45? a. (x 15)(x − 3) b. (x − 9)(x 5) c. (x 9)(x − 5) d. (x − 15)(x 3)

Answers

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

How to determine the complete factorization?

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)