What are the cooridinates of the point that partitions segment HE in the ratio of 2:3?​

Answers

Answer 1

Using proportions, the coordinates of the point C that partitions segment HE in the ratio of 2:3 are found according to the following equation:

C - H = 2/5(E - H).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have point C that partitions segment HE in the ratio of 2:3, hence it is 2/5 of the way from H to E, and the rule is given by:

C - H = 2/5(E - H).

Then:

Replacing the x-coordinates of H and E, we find the x-coordinate of C.Replacing the y-coordinates of H and E, we find the y-coordinate of C.

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Related Questions


In a game of cards, 43 cards are used, including one joker. Four players are each, dealt 10 cards and the rest are put in a pile. If Greg doesn't have the joker, what is the probability that either his partner or the pile have the joker?

Answers

Probability that either his partner or the pile have the joker from the deck of 43 cards including one joker ,four players each have 10 cards and 3 cards in a pile is 13/33.

As given,

Total number of cards=43

Number of cards with each players =10

Number of cards in a pile =3

Greg doesn't have joker

Total cards left = 43-10

                       = 33

Probability either his or the pile have the joker = (10 +3)/33

                                                                         = 13/33

Therefore, probability that either his partner or the pile have the joker is 13/33.

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A 12-pack of juice boxes costs $5.40. How much would an 18-pack of juice boxes cost if it is proportionate in price?

Answers

Answer: 8 dollars and 10 cents

Step-by-step explanation:

5.40 divided by 12 = .45

This means that each juice costs 45 cents

.45x18=8.10

Answer:

$8.10

Step-by-step explanation:

$5.40/12=$0.45 $0.45*18=$8.10

Please tell me the angles of x and y on letter B

Answers

Answer:

x = 100, y = 80

Step-by-step explanation:

100° and x° are alternate interior angles and are congruent , so

x = 100

x° and y° are a linear pair and sum to 180° , that is

100 + y = 180 ( subtract 100 from both sides )

y = 80

Find the midpoint of the line segment joining points A and B
A(8,- 7); B(2,3)

Answers

(5 , -2)

Step-by-step explanation:

mid point = ( (X1 + X2)/2 , (Y1 + Y2)/2 )

= ( (8 + 2)/2 , (-7 + 3)/2 )

= (5 , -2)

||3x+4|+5 |<1 , | | = absolute value

Answers

Answer:

Solution on screen

Step-by-step explanation:

I hope it's clear

Round 4.77527806851 to the nearest millionth

Answers

Answer:

4.775278.

Step-by-step explanation:

4.77527806851, when rounded to nearest millionth results in 4.775278.

Answer: 4.775278

Step-by-step explanation:

The place values go tenth, hundredth, thousandth, ten thousandth, hundred thousandth, and millionth. The place value after that is zero, so it stays as eight.

Simplify it.
Show steps please
√16x^2

Answers

Answer:

4[tex]x^{2}[/tex]

Step-by-step explanation:

1st seperate the equation

[tex]\sqrt{16}[/tex] and [tex]x^{2}[/tex]

square root of 16 is 4, and x squared stays the same, so the equation becomes

4[tex]x^{2}[/tex]


Find the real square roots of each number. 1/96

Answers

The square root of (1/96) is the same as the square root of 1 divided by the square root of 96. You can divide the fraction inside the radical before or after you calculate the square root. The result will be the same.

Here we first calculate the square root of the numerator and the square root of the denominator separately, and then we divide the two:

   

[tex]\frac{\sqrt{1}}{\sqrt{96} }[/tex] ≈ [tex]\frac{1}{9.798}[/tex]  ≈  0.1021

Alternatively, we first divide 1 by 96 and then do the square root of the quotient:

[tex]\sqrt{1/96}[/tex] ≈ [tex]\sqrt{0.0104}[/tex] ≈ 0.1021

To calculate the square root of 1 divided by 96, you first take the square root of 1 and then divide that result by 96:

[tex]\frac{\sqrt{1}}{96} = \frac{1}{96}[/tex] ≈  0.0104

Answer ASAP (show work)

Answers

Answer:

y=17.50n+80.00 202.50

Step-by-step explanation:

y=17.50n+80.00

N is hours

Make N=7

17.50*7=122.50

80+122.50=202.50

Find the GCF of 45, 27, 72

Answers

The GCF of 45, 27, and 72 is 9.

GCF is an acronym for “Greatest Common Factor.” To determine the greatest common factor of two or more numbers, we can list the factors of each number:

45: 1, 3, 5, 9, 15, 45

27: 1, 3, 9, 27

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Between these factors, the greatest number that all of them have in common is 9. For that reason, the GCF is 9.

The GCF of 45, 27, and 72 is 9.

how do I write the domain and range as an inequality here.

Answers

Check the picture below.

notice, the function namely f(x) or "y", has a hole at (-3 , 2), that means that the values for the range are anything less than 2, but never 2, so 1.1 is ok, 1.99 is also good, 1.999999999999999 is also ok, but never 2, thus y < 2.

Let's also notice, the arrowhead means the graph keeps on going to the left as well as to the bottom.

Help me fast i'll mark you brainliest please.

Answers

The number of hours that the kayak rented for the total costs to be the same will be 2 hours.

How to illustrate the information?

At 1 hour, the cost will be:

y = 7x + 9

= 7(1) + 9 = 16

At 2 hours, cost will be:

y = 7x + 9

y = 7(2) + 9

= 23

It should be noted that in the table, at 2 hours the cost is $23 also. Therefore, the number of hours that the kayak rented for the total costs to be the same will be 2 hours.

Also, shop B charges less per hour.

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The average temperature decrease of -6.5 degrees/km celsius is known as ________. group of answer choices dry adiabatic rate normal lapse rate stability environmental lapse rate maximum mixing depth

Answers

The average temperature decrease of -6.5 degrees/km Celsius is known as Normal lapse rate.

Normal lapse rate is defined as the decrease in the temperature while moving upwards in the atmosphere. Normally, the rate of decrease is 1 degree Celsius for every 165 meter rise in altitude or we can say that it is 6.5 degree Celsius for every 1 km rise in altitude.

This lapse rate is known as normal lapse rate or environmental lapse rate.

This is why when we move higher in the atmosphere, we experience low temperatures. On average this decrease is equal to the amount of temperature as discussed in the normal lapse rate.

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Simplify the quantity 7 minus one fourth times the square root of 16 end quantity squared plus the quantity 2 minus 5 end quantity squared. 27 45 324 900

Answers

The value of the expression (7 - 1/4 × ✓16)² + (2 - 5)² is 45.

How to calculate the expression?

Based on the information given, the expression will be:

(7 - 1/4 × ✓16)² + (2 - 5)²

= (7 - 1)² + (-3)²

= 6² + 3²

= 36 + 9

= 45

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What expression
can be used to add 1/2 + 5/6

Answers

Answer:

(4/3)

Step-by-step explanation:

  1                5

---------  +  --------

  2              6

  1 (3)          5

---------  +  --------

  2(3)          6

  3            5            8

-------  +  -------  =  -------

  6           6             6

  8  ÷  2            4

-------        =     -------

  6  ÷  2             3

I hope this helps!

The temperature at 1:00 pm was -7°C. By 5:00 pm the temperature increased by 11°C. What was the temperature at 5:00 pm?​

Answers

5 degrees

Explanation: -7 degrees + 11 degrees

A foreign exchange student from Denmark would like to buy gifts for her family. She finds a special deal, 7 t-shirts for $07.93, that she would like to purchase for her family. However, her family only consists of 5 people. If she wants to purchase 5 -
shirts for her family members at that special rate, what would be the cost of these t-shirts in her currency of Krona? (Currency conversion rate is 1 U.S. Dollar 8.6064 Krona)
O 121.663 Krona
O 13.99 Krona
O 608.313 Krona
O69.95 Krona

Answers

The total cost of the shirts that the foreign student buy will be 48.71 Krona.

How to illustrate the information?

From the information, the person finds a special deal, 7 t-shirts for $07.93, that she would like to purchase for her family.

Therefore, the total cost will be:

= $7.93 / 7 × 5

= $5.66

Therefore, the amount when converted to Krona will be:

= $5.66 × 8.6064

= $48.7

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Answer:

The answer is C "608.313 Krona"

Step-by-step explanation:

Got it right on my quiz.


What is the sum of each finite series?

a. Σ⁴° n=1 (3n - 8)

Answers

The sum of the given finite series is 2140

Sum notation is used to express long summation into a single formula.

Properties of sum operator:

If a is a constant, then Σₙa.b(n) = a Σₙ.b(n) Σ (a +b) =  Σa + Σb

[tex]\sum\limits^{40}_{n=1} {(3n-8)}=\sum\limits^{40}_{n=1} {3n}-\sum\limits^{40}_{n=1} {8}[/tex]

[tex]=3\sum\limits^{40}_{n=1} {n}-\sum\limits^{40}_{n=1} {8}[/tex]

[tex]=3\sum\limits^{40}_{n=1} {n}-8\times40[/tex]

[tex]=3(1+2+...+40)-8\times40[/tex]

[tex]=3.\frac{40}{2}. (1+40)-320[/tex]

= 2140

Hence, the sum of the given finite series is 2140

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may someone help meee?

Answers

The expression given by (1/2)⁻¹ is equivalent to 2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

(1/2)⁻¹

Taking the negative one exponent gives:

= 2 / 1

Simplifying the equation gives:

= 2

The expression given by (1/2)⁻¹ is equivalent to 2

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Write an equation in slope-intercept form for each line.
(4,-1) and (-2,-1)

Answers

With each line, a slope-intercept relationship (4,-1) and (-2,-1).

Y = 0 ,X = 5.

What is slope-intercept form?

The slope-intercept form is just a means of stating a line's equation so that both the slope (steepness) as well as y-intercept (where another line crosses this same vertical y-axis) are obvious. This expression is frequently referred to as y = mx + b.

According to the given information:

To begin, are using the slope formula to figure out the average slope between two points here.

Let:

x1 = 4

y1 = -1

x2 = -2

y2 = -1

m = (y2-y1)/(x2-x1)

= (-1 - (-1))/ (4-(-1))

= 0/5

= 0

So the slope is 0.

We must now calculate the y-intercept. This will be accomplished by converting a single of the points and also the slope together into a point-slope linear equation. y2-y1 = m(x2-x1).

Let’s plug in the point (5,0).

So we get y-(-0) = (0/5)(x-(-5)) ⇒  y+0

= (0/5)x +  0 ⇒  y

So,

Y = 0

X = 5

with each line, a slope-intercept relationship (4,-1) and (-2,-1).

Y = 0 ,X = 5

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R-C=P solve the equation answer what the variable c equals

Answers

Answer:

C=r-p

Step-by-step explanation:

r-c=p

We need to solve the equation for Variable C

To get c alone we need to remove r from the left hand side

Subtract R from both sides

r-c=p

r-r-c=-r+P

-c=-r+P

Now divide both sides by -1 to get c alone

c=r-p

C is alone, it is solved for C

If the rope is 45.0 m in length and 7.0 mm in diameter, what is young's modulus for this material?

Answers

According to the given data young's modulus for this material = 5.73 *(10^8 ) pa

What exactly is Young's modulus?

Young's modulus (E) of material seems to be the ratio of compressive loading () to tensile strain (). Where stress is defined as the amount of normal force per unit area ( = F/A) and strain is defined as extension per unit length ( = dl/l).

According to the given data:

Youngs modulus Y of a material is given Y = FL/ADL

where

A = area

DL = change of length

L = original length

F = force

so here we apply

Y = 65*9.8* 45/(3.14* 3.5*3.5* 10^-6 * 1.3)

Y = 5.73 *(10^8 ) pa

According to the given data young's modulus for this material = 5.73 *(10^8 ) pa

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I understand that the question you are looking for is:

A nylon rope used by mountaineers elongates 1.30 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulus for this material?

Need help don’t know what the answer is..

Answers

The correct statements for the function are given as follows:

A. The domain for the function is all real values.

B. The range for the function is the set {-5}.

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input. In a graph, it is the set that contains all values of x of function.The range of a function is the set that contains all the values of the output. In a graph, it is the set that contains all values of y of function.

For this problem, the function assumes the value y = -5 for all real values of x, hence statements A and B are correct, while D is not.

The graph also represents a function, as each value of x is associated with only one value of y.

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pls answer these two questions ASAP​

Answers

Answer:

Step-by-step explanation:

[tex]\displaystyle\\\frac{10px^2}{3c^2d} \div\frac{5px}{6c^2d^2} =\\\\\frac{10px^2}{3c^2d}*\frac{6c^2d^2}{5px} =\\\\\frac{60c^2d^2px^2}{15c^2dpx^2} =\\\\4d\\\\\\\frac{3}{x+7} \div\frac{8x^2-8x}{x^2+6x-7} =\\\\\frac{3}{x+7} \div\frac{8x(x-1)}{x^2-x+7x-7} =\\\\\frac{3}{x+7} \div\frac{8x(x-1)}{x(x-1)+7(x-1)} =\\\\\frac{3}{x+7} \div\frac{8x(x-1)}{(x-1)(x+7)} =\\\\\frac{3}{x+7} \div\frac{8x}{x+7} =\\\\\frac{3}{x+7} *\frac{x+7}{8x} \\\\\frac{3(x+7)}{8x(x+7)}=\\\\\frac{3}{8x}[/tex]

please helpp ! tysm :3

Answers

Answer:

7.8

-1/5

-16.2

5 5/8

Step-by-step explanation:

The picture shows the Alamillo Bridge in Seville, Spain. In the picture, $m\angle1=58^{\circ}$ and $m\angle2=24^{\circ}$ .

Answers

Answer:

Step-by-step explanation:


Find the geometric mean between each pair of numbers.
7 and 12

Answers

A group of products are averaged to determine central tendency using the geometric mean. The geometric mean of 7 and 12 is 2√21.

What is meant by geometric mean?

The geometric mean in mathematics is a mean or average that, by using the product of the values of the numbers, shows the center tendency or usual value of a set of numbers.

The geometric mean, sometimes known as the compounded annual growth rate, is a tool used in finance to determine average growth rates.

The Geometric Mean (GM) is the average value or mean that reveals the central tendency of a group of numbers by adding up the values of those numbers.

Formula to calculate Geometric Mean is

x = √(a × b)

Where, a = 7 and b = 12

x = √(7 × 12)

x = √(7 × 4 × 3)

x = 2√21

The value of x = 2√21.

Therefore, the geometric mean between the pair of numbers 7 and 12 is 2√21.

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What is the reciprocal of 1 7/11

Answers

the reciprocal would be 1 11:7
11/18
I looked it up

PLEASE ANSWER FAST ILL GIVE BRAINLIEST IF CORRECT

(02.04 MC)

Write an equation of a line that is perpendicular to y = 3x + 3 and passes through (−6, 3).

Answers

To make a line perpendicular, flip the denominator and numerator of the slope and make it positive if it was negative or negative if it was positive.

In this case, our slope is 3, so to make a perpendicular line, it would become: [tex]-\frac{1}{3}[/tex]

Now to make it pass through -6, 3 we need to plug in those numbers, and we'll be removing the 3 added at the end.

x = -6

y = 3

y = x

3 = [tex]-\frac{1}{3}[/tex](-6)

3 = 2

In order to make this true, we need to add 1 to the right side.

3 = 2 + 1

3 = 3

So, the equation would be  [tex]y=-\frac{1}{3}x+1[/tex]

The left and right page numbers of an open book are two consecutive integers whose sum is 253. Find these page numbers.

Answers

The consecutive page no. are 126 and 127.

WHAT ARE CONSECUTIVE INTEGERS ?

An example of a run of consecutive integers is 1, 2, 3, 4. Another illustration is 7, 8, and 9. An integer sequence is a set of numbers where each term is one more than the term before it.

Continually following one another, from smallest to greatest, are consecutive numerals. For instance, the sequence of the numerals 1, 2, 3, 4, 5, and so forth.

The next two numbers are (n + 1) and (n + 2) if n is an integer. Take 1 for n as an example. Its subsequent numbers can be read as (2 and 3), or as (1 + 1) and (1 + 2).

CALCULATION

let the consecutive page numbers be x and x+1

according to question ,

          x + x + 1 = 253

          2x = 252

            x = 126

so the consecutive page numbers are 126 and 127.

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