Mathematics High School

7. The points (−2,−4) and (5,6) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.

Answers

Answer 1

Answer

6.10

Use the distance formula:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf d =\sqrt{(5-(-2))^2 + (6-(-4))^2}[/tex]

[tex]\rightarrow \sf d =\sqrt{(7)^2 + (10)^2}[/tex]

[tex]\rightarrow \sf d =\sqrt{149}[/tex]

This is the length of diameter.

Then radius:

· diameter/2

[tex]\sf \cdot \dfrac{\sqrt{149 } }{2}[/tex]

[tex]\sf \cdot 6.103277808[/tex]

[tex]\sf \cdot 6.10 \ \ (rounded \ to \ nearest \ hundreth)[/tex]

Related Questions

The blue dot is at what value on the number line?

Answers

Answer:

I believe it would be -20 because the number line values skip by 2 or 3 each skip.

GIVING BRAINLIEST!!!!!

Answers

Answer:

option 1, 2

Step-by-step explanation:

since R is between Q and S

____________________

Q (3x+6) R (5x-2) S

--------------(12x - 4)-------------

Q S

QR + RS = QS

[tex](3x+6) + (5x - 2) = 12x - 4\\(3x + 5x) + (6 - 2) = 12x - 4\\(8x) + (4) = 12x - 4\\8x + 4 - 4 = 12x - 4 -4\\8x = 12x - 8\\8x - 12x = 12x - 12x - 8\\-4x = -8\\\frac{-4x}{-4} = \frac{-8}{-4}[/tex]

Answer:

Step-by-step explanation:

It mentions R is between points Q and S.

Hence, QR + RS = QS.

3x + 6 + 5x - 2 = 12x - 48x + 4 = 12x - 412x - 8x = 4 + 44x = 8x = 2

Put this equation into slope-
intercept form.
5x – 4y = 12

Answers

Answer:

[tex]y =\frac{5}{4}x+ ( -3)[/tex]

Step-by-step explanation:

Step 1: Subtract 5x from both sides

[tex]5x - 4y = 12[/tex]

[tex]5x - 5x - 4y = 12 - 5x[/tex]

[tex]-4y = 12 - 5x[/tex]

Step 2: Divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{12}{-4} - \frac{5}{-4}x[/tex]

[tex]y =\frac{5}{4}x+ ( -3)[/tex]

Answer: [tex]y =\frac{5}{4}x+ ( -3)[/tex]

What is the Surface area of a rectangle with a length of 3 width of 2 and a height of 12

Answers

i think it’s 132 units squared

Answer is 72 sq. Units
Explain
See drawing not to scale.
Surface area is L x W
2 ends 2x12
4 sides 3x2

ixl a game company sold 292 games 290 of the games were board games and the rest were card games what is the ratio of the number of card games to the total number of games

Answers

Answer:

2:292

Step-by-step explanation:

They sold 292 in total

290 were board games and the rest were cards

so,

292-290=2

2 card games

Answer: 2:292

Step-by-step explanation:

They sold 292 in total

290 were board games and the rest were cards

so,

292-290=2

2 card games

Nico is planting grass in his backyard. He is using 1 foot grass squares and has to cover an area that is 24 feet long and 20 feet wide.

How many 1 foot squares does Nico need?

pls help! Ill give brainly if possible! :)

Answers

The number of the grass squares of 1 square foot will be 480.

What is the area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called as the area of the rectangle.

The total area covered by the grass will be:-

A = L x W

A = 24 x 20 = 480 square feet

Number of the grass squares having an area of 1 square foot:-

N = Total area / area of one grass square

N = 480 square feet / 1 square feet

N = 480

Therefore the number of the grass squares of 1 square foot will be 480.

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How to do 2/5 = (x-3)/(7x+15)

Answers

Answer:

[tex]x = - 5 [/tex]

Step-by-step explanation:

To work out this question you have to first cross multiply.

[tex] \frac{2}{5} = \frac{(x - 3)} {(7x + 15)} \\ \\ 2(7x + 15) = 5(x - 3)[/tex]

When you cross multiply you will get the equation above. Therefore

[tex](2 \times 7x) + (2 \times 15) = (5 \times x) \\ - (5 \times 3) \\ \\ 14x + 30 = 5x - 15 \\ \\ 14x - 5x = - 30 - 15 \\ \\ 9x = - 45[/tex]

Therefore

[tex] \frac{9}{9} x = \frac{ - 45}{9} \\ \\ x = - 5[/tex]

Answer:

x = -5

Step by step:

multiply both side by 7x + 15.

2/5 (7x+15)= x − 3

Simplify 2)5 (7x+15) to 2(7x+15)/5.

2(7x+15)/5= x - 3

multiply both sides by 5.

2(7x+15)= 5x - 15

Expand.

14x+30= 5x - 15

subtract 5x from both sides.

14x+30−5x= − 15

Simplify 14x + 30 - 5x14x + 30−5x to 9x + 309x + 30.

9x+30= - 15

Subtract 30 from both sides.

simplify

x = -5

The table shows the annual sales revenues of different types of vehicles made by four automobile manufacturers.

The number in the highlighted cell is ______ (options are: a. the number of convertibles sold by Pluto Cars b. the revenue from sales of convertibles by Pluto Cars c. the revenue from sales of sedans by Pluto Cars d. the total sales revenue of Pluto Cars). The relative frequency of this vehicle category compared with the total sales revenue of Pluto Cars is _______ (options are: a. 0.107 b. 0.225 c. 0.29 d. 0.33)

Answers

Using the relative frequency concept, it is found that:

The number in the highlighted cell is: b. the revenue from sales of convertibles by Pluto CarsThe relative frequency of this vehicle category compared with the total sales revenue of Pluto Cars is: b. 0.225.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

The number in the cell has bounds conversible and Pluto Cars, and the table represents the amount earned, that is, revenue, hence option b is correct.

The total revenue of Pluto Cars is of $80 million, with convertibles corresponding to $18 million, hence the relative frequency is given by:

r = 18/80 = 0.225.

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2
3 D
5
6
8
9
10
x²-4
Which shows all the critical points for the inequality ²-5x+6
<<0?
O x=-2 and x = 2
Ox= 2 and x = 3
Ox=-3, x = -2, and x = 2
O x= -2, x = 2, and x = 3

Answers

2
3 D
5
6
8
9
10
x²-4
Which shows all the critical points for the inequality ²-5x+6

The critical points for the inequality x²-5x+6 is x= 2 and x = 3.

What is critical point?

In calculus, a critical point of a function is a point where the derivative of the function is either zero or undefined.

These points are important in determining the maximum and minimum values of a function, and can also help identify points of inflection and other important features of a curve.

To find the critical points for the inequality x²-5x+6, we need to find the values of x that make the expression equal to zero (i.e., the roots of the quadratic equation).

We can factor the expression as (x-2)(x-3) and set each factor to zero to find the critical points:

x-2 = 0 or x-3 = 0

x = 2 or x = 3

So the critical points are x = 2 and x = 3.

Therefore, the answer is x= 2 and x = 3.

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You are in business and have a product that sells for $10 that 1,000 people buy each month You want to make a profit and wonder whether you should raise the price in increments of a dollar For each dollar you raise the price , you lose 100 customersHow many dollars can you increase in price to maximize your profit or should you increase in price at all?

Answers

No, you shouldn’t increase in price your profit will only get lower if you increase the price

Based on the attached photo and explanation below, the price should not be increased at all.

How to know when profit is maximized?

Note: See the attached photo for the calculation of Revenues at Different Number of Customers and Prices.

Every other being equal, profit is maximized when revenue is at the maximum,

From the attached photo, it can be seen that revenue is at the maximum or the highest when the price is $10 and the number of customers is 1,000.

Increasing the price in increments of a dollar results in a fall in revenue progressively until it reaches $0.

Therefore, the price should not be increased at all.

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Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. Write this information as an equation in x. Solve your equation to find the value of x.

Answers

3x+2=5x-13
3x-5x=-13-2
-2x=-15
x=7.5

Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. The number which he is thinking is 7.5.

What is equation?

Two or more expressions with an equal sign is called as Equation.

Given that Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number.

Let the number which Dexter is thinking be x.

Two more than three times his number.

It means value two is added to the product of 3 and the number which he is thinking x.

3x+2

thirteen less than five times his number

It means value thirteen is subtracted from the product of 5 and the number which he is thinking x.

5x-13.

It is given Two more than three times his number is the same value as thirteen less than five times his number

3x+2=5x-13

Take the like terms to one side

13+2=5x-3x

15=2x

Divide both sides by 2.

x=7.5

Hence the value of x is 7.5.

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Which is equivalent to cos-1(0)? give your answer in radians.

Answers

If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

Inverse of trigonometry function

Inverse of a function are the opposite of the function. Given the inverse of cosine function as shown:

[tex]cos^{-1}x[/tex]

If x = 0, hence;

[tex]cos^{-1}{0[/tex]

If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

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The diameter of a circle is 14 miles. What is the circle's area?
Use 3.14 for .

Answers

Answer:

153.86cm^2

Step-by-step explanation:

area of a circle= πr^2

where r = radius= 14/2= 7miles

area= 3.14×(7×7)

area= 3.14×49= 153.86cm^2

i'll give brainliest and points to whomever answers these two questions, thank you so much in advance!

Q8- what's the S.S of the inequality: x² + 4 > 2

a) R
b) ∅
c) R-
d) R+

Q9- if x + yi = (1 + i)⁴ , then x + y = ......

a) 4
b) - 4
c) 2
d) - 2

an explanation for future reference would be GREATLY appreciated, thank you again T^T

Answers

Answer:

8 Answer is a) R

9 Answer is b) -4

Step-by-step explanation:

Answer of your Question bro and good evening and please mark me as brainliest and thank u

help pleasee!!?? Thank u

Answers

9,160.88 whatever units.

Answer: 9,156.24 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V = πr²h. The problem gives us both the radius and the height, so we have all necessary values to solve by substitution:

r = 9

h = 36

V = π(9)²×36

= 81 × 36 × π

= 2916π

= 9,156.24 ft³

Find the equation of the line shown

Answers

Answer: y = 1/2x + 1/2

A. Determine the length of Seneca between Mesa and La Paz Dr.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.

B. Determine whether the driver on Seneca Street was traveling within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.

C. Determine the maximum length of the skid marks left on Seneca Street by a car that travels within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.

SHOW YOUR WORK!

Answers

The length of Seneca between Mesa and La Paz Dr is = 144ft.

The driver of the Seneca Street was driving at 0.75 mi/hr therefore he was with the speed limits.

The maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is = 144ft

Calculation of car speed limits

To determine the length of Seneca, the various lengths of Mesa and La Paz Dr is used;

Length of Mesa (a)= 308ft

Length of La Paz Dr (c)= 340ft

Length of Seneca =b

Using Pythagorean theorem,

c²= a² + b²

340²= 308² + b²

make b the subject formula,

b² = 340² - 308²

b² = 115,600 - 94,864

b²= 20736

b = √20736

b = 144ft.

To determine the if the driver at Seneca Street was driving at speed limit;

The speed limit within the Seneca road(s) = 50mi/h

The coefficient of friction (f) based on the surface material = 0.7 (asphalt).

The distance covered by the car = 144ft to miles = 144/5280 = 0.027.

Therefore the speed of car(s)

=√30fd

= √30 × 0.7× 0.027

= √0.567

=0.75 mi/hr

To determine the maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is the same with the length of Seneca. which is = 144ft.

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Select the equation of the line in slope-intercept form: 4x + 9y = 36

Answers

Answer:

y= -4x/9+4

Step-by-step explanation:

4x+9y=36 (move 4x)

9y=-4x+36 (divide by 9)

y= -4/9x+36/9

y= -4x/9+4

Aaron flips a coin three times, what is the correct sample space (all possible outcomes)?

H or T

HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

HT, HT, HT

HHH

Answers

HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

That is representative of all possible outcomes from flipping the coin

I need the the number

Answers

y=3x+3

Step-by-step explanation:

The m is 3 because it is rise over run. For every 3 up it goes one over (3/1) or just 3. The b is 3 because b is where x equals 0 and it is at 3.

Which sign makes this number sentence true?

|-56| __ |56|
A. >
B. <
C. =
D. x

Answers

Hey there!

Basically your above absolute value is the proportions of real numbers regarding the sign of it. So, a negative absolute value will most likely be a positive. Same thing with positive & positive & also a positive & a negative. It all depends!

So, the correction equation should be:

|-56| = |56|

Answer: =

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Someone help me.............asap

Answers

Answer:

11 h

Step-by-step explanation:

1/2 h

11h 1/2 will be need for a bike

please help.... thank you

Answers

Answer:

The first one is 1/2.

The second blank is 1 1/6

The third blank is 3/2

The fourth blank is 5/3

The fifth blank is 2 2/3.

The sixth blank is 2 5/6.

What are the domain and range of f (x) = log (x minus 1) + 2?
domain: x > 1; range: y > 2
domain: x > 1; range: all real numbers
domain: all real numbers; range: y > 1
domain: all real numbers; range: all real numbers

Answers

Answer:

domain: x > 1; range: all real numbers

Step-by-step explanation:

Given function: [tex]f(x)=\log(x-1)+2[/tex]

Logarithms are not defined for zero or negative numbers.

[tex]\implies (x-1) > 0 \implies x > 1[/tex]

Therefore:

domain (input values): [tex]x > 1[/tex]range (output values): all real numbers

Answer:

B on edge

Step-by-step explanation:

Just took the test :)

Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's law holds, that among 1500 randomly chosen invoices there are 843 or fewer amounts with first digit 1, 2, or 3

Answers

The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

How to determine the probability?

The given parameters are:

Fewer digits = 843

Total = 1500

The probability is then calculated as:

P = 843/1500

Evaluate the quotient

P = 0.562

Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

Answers

Answer:

[tex]3(3m + 1)(3m - 1)[/tex]

Step-by-step explanation:

[tex] {27m}^{2} - 3[/tex]

Factorise

[tex]3( {9m}^{2} - 1)[/tex]

Rewrite it

[tex]3(( {3m)}^{2} - {1}^{2} )[/tex]

[tex]3(3m + 1)(3m - 1)[/tex]

Find the value of x.

Answers

Answer:

Step-by-step explanation:

Comment

The general formula for a tangent and secant is

tangent^2 = external segment * full length of the secant.

Givens

tangent length = x

external segment = 7

secant length = 7+ 21

Formula

x^2 = 7 * (7 + 21) Remove brackets

x^2 = 7 * 28 Combine

x^2 = 196 Take the square root of both sides

√x^2 = √196

x = 14

Answer: x = 14

what's the answer to 4x-6=3x

Answers

4x - 6 = 3x

4x - 6 - 3x = 0

x - 6 = 0

x = 6

X=6…………………..
Hope this help

A guest was on holiday before going to the wedding at 6 o’ clock. He had to travel 120km to get to the venue. He travelled at an average of 100km/h . Verify if He will reach the dance on time if he leaves at 16:40

Answers

He will reach the dance before time if he leaves at 16:40.

What is speed- distance formula?

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Given distance= 120 Km, speed= 100 km/h

For this speed,

time= distance/ speed

= 120/100

= 1.2 hours

If the guest leave at 4:40 p.m. then by the speed of 100 km/h he will reach the venue at 06:00 p.m.

Hence, he will reach before the time at wedding.

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solve 8,327.8- 12.034 923.01+74.289

Answers

Answer:

8,327.8 - 12.034 = 8315.766

923.01 + 74.289 = 997.299

hope this helps:)

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7. The points ​(−2​,−4​) and ​(5​,6​) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.

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7. The points (−2,−4) and (5,6) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.