At what distance is the point (-5, 3) from the x-axis?

Answer:

-2/5

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

TW = 3

WU = TU - TW = x + 7 - 3 = x + 4

CW = x

VW = 6

By the property of intersecting chords inside a circle, we have:

TW * WU = CW * VW

3(x + 4) = x * 6

3x + 12 = 6x

12 = 6x - 3x

12 = 3x

12/3 = x

4 = x

x = 4

The value of x is 4.

The chord theorem is defined as a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal. It is also known as the intersecting chords theorem.

According to given figure,

TW = 3,

CW = x,

VW = 6,

Chord TU = x + 7,

WU = TU - TW

Substitute the value of Chord TU in above equation,

WU = x + 7 - 3

WU = x + 4

According to property of intersecting chords inside a circle, the products of the line segment lengths on each chord are equal.

TW × WU =  VW × CW

3(x + 4) = 6 × x

3x + 12 = 6x

12 = 6x - 3x

12 = 3x

x = 12/3

x = 4

Hence, the value of x is 4.

Learn more about intersecting chords theorem here :

https://brainly.com/question/14681467

#SPJ5

Answer:

  4 minutes 7 1/2 seconds

Step-by-step explanation:

For the train to completely cross the bridge, it must travel a distance equal to the sum of its own length and that of the bridge.

  time = distance/speed

  time = (1 +0.1) km/(16 km/h) = 1.1/16 h ≈ 0.06875 h

It will take the train 0.06875 hours, about 4 minutes 7 1/2 seconds, to cross the bridge.

Answer:5.9-6.2x

Step-by-step explanation:

a=1.4-2x

b=-0.2x+1.7

 3a+b

=3(1.4-2x)+(-0.2x+1.7)

=4.2-6x-0.2x+1.7

=4.2+1.7-6x-0.2x

=5.9-6.2x

Answer:

Step-by-step explanation:

3a + b

a = 1.4 - 2x

b = -0.2x + 1.7

3 ( 1.4 - 2x ) +  -0.2x + 1.7

= 4.2 - 6x - 0.2x + 1.7

= 4.2 + 1.7 - 6x - 0.2x ( by rearranging the like terms )

= 5.9 - 6.2 x

hope this helps

plz mark as brainliest!!!!!!!!

Answer:

Please find attached the log graph of the count (frequency) of the elevator types

Step-by-step explanation:

The number of different elevators types = 9

The maximum count of an elevator type = 96,602

The minimum count of an elevator type = 45

The mean count or number of elevator per type = 8,454

The standard deviation of number of elevator per type = 20,599.6

Given the wide difference between the mean and the standard deviation, the values of the count or frequency can be converted into the equivalent ㏒₁₀ values to flatten the frequency bar chart or histogram as follows;

Type                   [tex]{}[/tex]                 Count (f)                                   ㏒₁₀ (f)

Passenger elevator           66,602                                     4.823487

Freight elevator                 4,140                                         3.617

Escalator                            2,663                                         3.425371

Dumbwaiter                        1,143                                          3.058046

Sidewalk                               943                                           2.974512

Private elevator                    252                                          2.401401

Handicap lift                        227                                          2.356026

Manlift                                   73                                            1.863323

Public elevator                      45                                           1.653213

The information can then be easily graphically displayed.

Answer: Irrational

Step-by-step explanation:

It cannot be expressed as a ratio of two integers

Answer:  Irrational

Step-by-step explanation: Irrational numbers are real numbers that, when expressed as a decimal, go on forever after the decimal and never repeat. Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. ... When expressed as a decimal, irrational numbers go on forever after the decimal point and never repeat.

Hope this helps^^

Answer:  20,40,60,80,100

Step-by-step explanation:

The possible  numbers has be the multiples of 5 and 4 in other words the LCM.

The LCM of 5 and 4 are,

20,40,60, 80,100 ....

Answer:

Step-by-step explanation:

To answer this question we need to first understand and compare it with the equation of straight line.

i.e [tex]y= mx+c[/tex]  which is the equation of line

where m= slope

           y= dependent variable

           x= independent variable

          c= intercept

Given

[tex]y= 25+5h[/tex]

comparing both expression we can see that

25 corresponds to c which is the intercept

The flat pays $25 represent the intercept.

Given that,

Based on the above information, the calculation is as follows:

y = mx + c

where m= slope

y= dependent variable

x= independent variable

c= intercept

And,

y = 25 + 5h

So it is an intercept

Learn more: https://brainly.com/question/20492533?referrer=searchResults

Answer:

The present population of the country is 26,000.

[tex]y=a(1+r)^{x}[/tex]

The growth rate is approximately 12%.

The population 5 years from today will be 45,821.

Step-by-step explanation:

(1)

The present population of the country is 26,000.

(2)

It is provided that the number of people living in a country is increasing each year exponentially.

Then the exponential growth function can be used to describe the situation.

The exponential growth function is:

[tex]y=a(1+r)^{x}[/tex]

Here,

y = final value

a = initial value

r = growth rate

x = time

(3)

It is provided that x = 5 years ago the population was a = 15,000 and at present the population is y = 26,000.

Compute the value of r as follows:

        [tex]y=a(1+r)^{x}[/tex]

 [tex]26000=15000\times (1+r)^{5}[/tex]

[tex](1+r)=[\frac{26000}{15000}]^{1/5}[/tex]

  [tex]1+r=1.1163[/tex]

        [tex]r=0.1163\\r\approx 0.12[/tex]

Thus, the growth rate is approximately 12%.

(4)

Compute the population 5 years from today as follows:

[tex]y=a(1+r)^{x}[/tex]

  [tex]=26000\times (1+0.12)^{5}\\\\=26000\times 1.762342\\\\=45820.892\\\\\approx 45821[/tex]

Thus, the population 5 years from today will be 45,821.

Answer:

The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Step-by-step explanation:

The possible pathways are as follows:

(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Answer:

a/b tends to an infinite value

Step-by-step explanation:

If If a is an arbitrary nonzero constant, and we are to look for a/b as b approaches zero, we can represent this statement using limits. The statement is expressed as:

[tex]\lim_{b \to 0} \dfrac{a}{b}[/tex]

Substituting b = 0 into the function

[tex]= \dfrac{a}{0} \\\\= \infty \\\\\lim_{b \to 0} \dfrac{a}{b} = \infty\\ \\\\[/tex]

Since the limits of a tends to infinity as b tends to zero hence we can conclude that If a is an arbitrary nonzero constant then a/b tends to infinity or is undefined as b approaches 0

Answer:

A first-order polynomial best fits the given situation.

Step-by-step explanation:

The statement indicates a constant rate of change in a given time interval, so the model that best fits the given situation is a first-order polynomial model, which is a generalized form of a model with direct proportionality. That is:

[tex]T = T_{o} + r \cdot t[/tex]

Where:

[tex]T[/tex] - Current temperature, measured in Fahrenheit degrees.

[tex]T_{o}[/tex] - Initial temperature, measured in Fahrenheit degrees.

[tex]r[/tex] - Temperature rate of change, measured in Fahrenheit degrees per minute.

[tex]t[/tex] - Time, measured in minutes.

The statement describes the temperature rate of change, which is equal to:

[tex]r = \frac{5\,^{\circ}F}{20\,min}[/tex]

[tex]r = \frac{1}{4}\,\frac{^{\circ}F}{min}[/tex]

Answer:

y = 40 / sqrt(pi)

Step-by-step explanation:

The area is 400

We want to find the diameter

400 = pi r^2

Divide each side by pi

400/ pi = r^2

Take the square root of each side

sqrt(400/ pi) = sqrt(r^2)

20/ sqrt(pi) = r

The diameter is twice the radius

2 r = d

2 * 20/ sqrt(pi) = d

40 / sqrt(pi) =d

y is the diameter so

y = 40 / sqrt(pi)

Answer:

My question would be:

What is your favorite movie genre?

Step-by-step explanation:

A survey is a series of questions asked to a group of people with the intention of gathering data or detecting a public opinion on a certain matter.

To carry out a good survey, the following are required:

- Establish the objectives of the survey to be carried out.

- Choose the population to which the survey will be directed.

- Design the survey with the necessary questions to obtain the established ones.

- Apply the survey and collect the data.

Answer:

o.593

Step-by-step explanation:

The required value of the decimal equivalent of the given fraction is 0.592.

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

If the fractions have the same denominators then their numerators are added keeping the denominators as the same.

For fractions with different denominators the LCM of the denominators are taken then that is divided by the numerators of each fraction and the number obtained is multiplied to each of them to get the equivalent fraction.

The given fraction is 16/27.

In order to convert it into decimal divide 16 by 27 upto 3 decimal places to obtain,

16/27 = 0.592

Hence, the given fraction 16/27 can be written as decimal as 0.592.

To know more about fraction click on,

https://brainly.com/question/10354322

#SPJ2

Answer:

Example 1: 3.248 repeating line over 8

Example 2:  3.248 repeating line over 48

Example 3: 3.248 repeating line over 248

Step-by-step explanation:

Answer:

2812/39

Step-by-step explanation:

74 • (76/78)

76/78 = 38/39

74 • 38/39 = 2812/39

Answer:

2 real roots

Step-by-step explanation:

y = 4x2 - 16

Set equal to zero

0 = 4x2 - 16

Add 16 to each side

16 = 4x^2

Divide by 4

16/4 = 4x^2/4

4 = x^2

Take the square root of each side

sqrt(4) = sqrt(x^2)

±2 =x

There are 2 real roots

Answer:

t(g)= -4g + 20

Step-by-step explanation:

James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays

Solution

Let

g=No. of games James plays

t= No. of tokens James has.

Find the slope using

y=mx + b

Where,

m = Slope of line,

b = y-intercept.

Before James started playing the games, he has a total of 20 tokens.

That is, when g=0, t=20

After James played the games 3 times, he has 8 tokens left

That is, when g=3, t=8

(x,y)

(0,20) (3,8)

m=y2-y1 / x2-x1

=(8-20) / (3-0)

= -12 / 3

m= -4

Slope of the line, m= -4

y=mx + b

No. of tokens left depend on No. of games James plays

t is a function of g.

t(g)

t(g)= -4g + 20

Answer:

-4g + 20

Step-by-step explanation:

I did it on khan and this was right

Answer:

47%

Step-by-step explanation:

Radius of Austin = 200 miles

Total area of Austin = [tex]\pi r^{2}[/tex]

where 'r' = radius of Austin

From this formula,

Area of Austin = [tex]\pi (200)^2[/tex]

                        = 125663.71 square miles

Percentage of total area which is within 200 miles of Austin will be,

= [tex]\frac{\text{Area of Austin}}{\text{Total area of Texas}}\times 100[/tex]

= [tex]\frac{125663.71}{267339}\times 100[/tex]

= 47%

In this question, information regarding population of Texas will not be used.

Answer:

Step-by-step explanation:

cd(x) would equal c(x) multiplied by d(x) so we get [tex]\frac{5(x+3)}{x-2}\\[/tex] = [tex]\frac{5x+15}{x-2}\\[/tex].

The domain of [tex]\frac{5x+15}{x-2}[/tex] is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).

Answer:

-5 -√8  or ≈ -7.83

Step-by-step explanation:

Solving the quadratic equation, to find its roots:

The smallest root is:

Answer:

A line segment is a segment of a line with two endpoints

Step-by-step explanation:

A line segment  is the distance between two endpoints. Lines by definition are infinite so a portion of a line is a line segment.

Answer:

A'(4, -2)

B'(3, 0)

C'(1, -2)

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

A(-4, 2), B(-3, 0) and C(-1, 2)

ΔABC is transformed by the rotation of 180° about the origin.

Rule for the rotation will be,

(x, y) → (-x, -y)

Coordinates of the image triangle A'B'C' will be,

A(-4, 2) → A'(4, -2)

B(-3, 0) → B'(3, 0)

C(-1, 2) → C'(1, -2)

Answer:

x = 21

Step-by-step explanation:

5x = (90 + 15)

5x = 105

x = 21

Answer:

Yes, 10 millimeters is the same as 1 centimeter.

Step-by-step explanation:

Kathy can compare the two measurement because 10 millimeters equals 1 centimeter

This means

10 millimeters of her finger = 1 centimeter of the same finger

100 millimeters of her finger = 10 centimeters of her finger

1000 millimeters of her finger = 100 centimeters of her finger

Therefore, Kathy can compare both measurement ( millimeters and centimeters).

Answer:

Yes, 10 millimeters is the same as 1 centimeter.

Step-by-step explanation:

Hey, there!!

Given that:

y = 3x.........(i)

[tex]y = {x}^{2} + 3x - 16.......(ii)[/tex]

Putting the value of y in equation (ii)

[tex] {3x}^{} = {x}^{2} + 3x - 16[/tex]

[tex] {x }^{2} - 16[/tex]=0

[tex]( {x)}^{2} - {4}^{2} = 0[/tex]

[tex](x + 4)(x - 4) = 0[/tex]

Therefore,

Either Or

(x+4)=0 (x-4)=0

x= -4 x= 4

so, x= (+ -)4

And if you wanna get value of y, just keep value of x in equation (i).

y= 3x

y= (3×4) or (3×-4)

y= 12 or -12

{As it is the quadratic equation it has two values. }

Hope it helps....

Answer:

a) 55-42=13

b) 29-10=19

c) 65÷5=13

d) 72÷8=9

Answer:

Hey there!

Given Expression: 3m-4n

Substitute: 3(-2)-4(-3)

Solve: -6+12

Simplify: 6

6 should be your final answer.

Let me know if this helps :)

Answer:

Option B is the correct option.

Step-by-step explanation:

Given, m = -2 and n = -3

Given expression : 3m - 4n

If the value of variables of algebraic expressions are given, the value of the term it expression can easily obtained by replacing the variables with numbers.

Let's solve:

[tex] \sf{3m - 4n}[/tex]

Plug the values of m and n

[tex] \sf{ = 3 \times ( - 2) - 4 \times ( - 3)}[/tex]

Multiply

[tex] \sf{ = - 6 - ( - 12)}[/tex]

When there is a ( - ) in front of a parentheses, change the sign

[tex] \sf{ = - 6 + 12}[/tex]

Calculate

[tex] \sf{ = 6}[/tex]

Hope I helped!

Best regards!!