Given CH with C(2, 1) and H(-2,-15), find
the coordinates of E if E divides CH three
fourths of the way from C to H.

Given CH With C(2, 1) And H(-2,-15), Findthe Coordinates Of E If E Divides CH Threefourths Of The Way

Answers

Answer 1

The coordinate of E will be (1, -3) if the coordinates of E if E divides CH three -fourths of the way from C to H

Midpoint of a line is a point that divides a line into two equal parts.

If the line is divided in the ratio a:b, then the midpoint formula will be expressed as:

[tex]M(X,Y) =(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})\\[/tex]

Given the coordinate points, C(2, 1) and H(-2, 15) divided in the ratio of 3:4

[tex]X = \frac{3(2)+1(-2)}{3+1}\\X= \frac{6-2}{4}\\X=\frac{4}{4}\\X = 1[/tex]

Get the coordinates Y:

[tex]Y = \frac{3(1)+1(-15)}{3+1}\\Y= \frac{3-15}{7}\\Y=\frac{-12}{4}\\Y= -3[/tex]

This shows that the coordinate of E will be (1, -3)

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Related Questions


Berny bought a soft drink for 2 dollars
and 6 candy bars. He spent a total of
20 dollars. How much did each candy bar cost
bar cost?

Answers

Answer:

3

Step-by-step explanation:

Given:

Berny spent 20 dollars total

He spent 2 dollars on a soft drink

He bought 6 candy bars

Solution:

Amount spent on candy bars = total amount spent - amount spent on soft drink.

Amount spent on candy bars = 20 - 2 = 18

Cost of each candy bar = total amount spent on candy bars / # of candy bars bought

Cost of each candy bar = 18/6 = 3

Answer: Each candy bar costs $3

Step-by-step explanation:

Set variables

Soft drink = $2

Candy bars = $6x

Let x be the cost for each candy bar.

Total cost = $20

Set equation

2 + 6x = 20

Subtract 2 on both sides

2 + 6x - 2 = 20 - 2

6x = 18

Divide 6 on both sides

6x / 6 = 18 / 6

x = 3

Hope this helps!! :)

Please let me know if you have any questions

y = 3 • 5x

what is the domain and the range

Answers

I really donttttt knoooo but domain is 4 and range is 1

giải phương trình nghiệm nguyên x^2 - 3y^2 +2xy -2x - 10y +4 =0

Answers

đặt thử nhân tử chung xem sao nhé hoặc rút x theo y hoặc y theo x

Andres is on the tennis team. Last year he bought 7 tubes of tennis balls. The year before he bought k tubes. Each tube holds three balls.

a. Write an expression using parentheses to describe how many tennis balls Andres bought in the last two years.

b. Given that k=6, evaluate your expression using the distributive property.​

Answers

Answer:

A. 7(3) + 3k = total amount of tennis balls bought in 2 years

B. 39 tennis balls

Step-by-step explanation:

B. 7(3) + 3(6)

21 + 18 = 39 tennis balls

Please help!
Please do not just give the answer, also explain please because I need to know how to do this.

Find the value of X ​

Answers

Answer:

x = 6.5

Step-by-step explanation:

In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).  

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent.  So, our equation would look like this:

tan (57)° = 10/x

Multiply both sides by x

x (tan (57)°) = 10

Divide both sides by tan (57)°

10 / tan (57)° = 6.49408 = 6.5

Step-by-step explanation:

We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can

Remeber that triangles interior angles add up to 180.

Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so

[tex]90 + 57 + x = 180[/tex]

[tex]x = 33[/tex]

So the angle opposite of the side we are trying to find is 33.

Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines

[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]

where the numerator are the side measures, and the denominator are the angle measures.

Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.

[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]

Multiply both sides by sin 33 to isolate x.

We get

[tex]x = 6.494[/tex]

Round if needed

In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.

Integral sin(3x+3)dx

Answers

Step-by-step explanation:

steps are in picture above.

Note:if you have any question please let me know.

identity the value for a, b, and c.
2x^2=-7x-9​

Answers

Is there more information to this? Or do you just want x solved

. If 26039 apples aré shared equally among 13 boys. How many does each boy receive? ​

Answers

Answer:

2003 apples for each boy

Answer:

26o39÷3 =2,003

therefore; each boy gets 2,003 apples

can someone please help me answer this function please?

Answers

Answer:

B) [tex]x\geq0[/tex]

Step-by-step explanation:

The domain of the square root function is all real non-negative numbers. In a numerical format that is as follows:

[tex]D(\sqrt{x})={[0,\infty )}[/tex]

This is more commonly denoted as:

[tex]x\geq0[/tex]

In the case of the given function:

[tex]g(x)=\sqrt{8x}[/tex]

The domain is still ([tex]x\geq0[/tex]) as multiplying a value by (8) does not alter this. A negative number times (8) is still negative and thus cannot be a part of the square root domain. Similarly, a positive number times (8) is still positive and remains a part of the square root domain. Moreover, (0) times (8) is still (0).

Solve the equation -2x = -3x + 14
Evaluate the expression x² - 3y + 12 for x and y = 5

Answers

#1

[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]

[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]

[tex]\\ \sf\Rrightarrow x=14[/tex]

#2

[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]

[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]

[tex]\\ \sf\Rrightarrow 25-15+12[/tex]

[tex]\\ \sf\Rrightarrow 10+12[/tex]

[tex]\\ \sf\Rrightarrow 22[/tex]

Let f(x) = -20x^2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state it’s domain.

Answers

the correct answer is 200

A design for a banner includes a striped background. The stripes are colored in the repeating order: yellow, blue, orange, green, and purple. What calor is the 37th stripe?

Answers

Answer:

purple.orang.blue.yellow and green

purple.orang.blue.yellow and green

uincy feeds his dog 2.75 cups of dog food each day. Each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?

Answers

The answer would be 1.25x + 2.75 I think I don’t really understand the question

You work at McDonalds making $12 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)

Answers

Answer:

7$

Step-by-step explanation:

Can someone help me please I don’t get this (due today)

Answers

Sure, I will help you.

25. Measure of MP=152 degrees.

26. Measure of QNL=208 degrees.

27. Measure of WT=155 degrees.

28. Measure of WTV=205 degrees.

I believe that these answers are correct, but if not, please let me know. If you have any questions, feel free to ask.

what is the value of x in the equation 11+7x=-17

Answers

[tex]\\ \rm\Rrightarrow 11+7x=-17[/tex]

[tex]\\ \rm\Rrightarrow 7x=-7-11[/tex]

[tex]\\ \rm\Rrightarrow 7x=-28[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-28}{7}[/tex]

[tex]\\ \rm\Rrightarrow x=-4[/tex]

Answer: x = -4

Step-by-step explanation:

Given equation

11 + 7x = -17

Subtract 11 on both sides

11 + 7x - 11 = -17 - 11

7x = -28

Divide 7 on both sides

7x / 7 = -28 / 7

[tex]\boxed{x=-4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The total of the ages of rachel’s siblings if she has one sibling that is 3 years younger and three siblings that are 2,4, and 5 years older. translate the word problem to a math equation

Answers

i also need the ans TT.............

The wood on the back deck of a house needs waterproofing. The shape of the deck
is a rectangle with the length of 40 feet and a width of 3 yards. A gallon can of
waterproof stain covers 50 square feet and costs $19.99 per can plus 8% sales tax.
You go to the hardware store to purchase the waterproof stain needed to complete
the job. You give the cashier $150. How much change do you receive, or how much
additional cash must you find in order to be able to pay for all of the stain you need?
You must show all calculations.
Area of Rectangle = length X width
You cannot split up a can of stain.
You must show all calculations.

Answers

Dimensions of a rectangular deck = [tex]40[/tex] feet by [tex]3[/tex] yards

Width of the deck is in yards, so convert it into feet.

Since, [tex]\frac{1}{3}[/tex] yards = 1 foot

Therefore, 1 yard = [tex]3[/tex] feet

And [tex]3[/tex] yards = [tex]3\times 3[/tex] feet

                    = [tex]9[/tex] feet

Therefore, dimensions of the rectangular deck = [tex]40[/tex] feet by [tex]9[/tex] feet

Area of the deck = Length × Width

                            = [tex]40\times 9[/tex]

                            = [tex]360[/tex] square feet

∵ [tex]50[/tex] square feet of deck is stained by number of cans = 1

∴ 1 square feet will be stained by number of cans = [tex]\frac{1}{50}[/tex]

∴ [tex]360[/tex] square feet will be stained by cans = [tex]\frac{360}{50}[/tex] = [tex]7.2[/tex]

We can not purchase can in fractions or parts.

Therefore, number of cans to be purchased = [tex]8[/tex]

Cost of waterproof stain per can = $[tex]19.99[/tex] plus [tex]8[/tex]% sales tax

Therefore, actual cost of 1 can to be paid for the waterproof stain

= [tex](19.99 + 19.99\times \frac{8}{100})[/tex]

= [tex]19.99+1.5992[/tex]

= $[tex]21.5892[/tex]

Cost of [tex]8[/tex] cans = [tex]21.5892\times 8[/tex]

                         = $[tex]172.71[/tex]

I have paid $[tex]150[/tex] to the cashier.

Therefore, additional money to be paid = [tex]172.71-150[/tex]

                                                                  = $[tex]22.71[/tex]

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https://brainly.com/question/17424783

4 1/6 = 3 1/3c

WAHT?!? HOW IN THE WORLD DO YOU EVEN DO THIS?!?

Answers

Answer:

1 1/4 =c

Step-by-step explanation:

4 1/6 = 3 1/3c

Change the mixed numbers to improper numbers

4 1/6 = ( 6*4+1)/6 =25/6

3 1/3 = ( 3*3+1)/3 = 10/3

25/6 = 10/3c

Multiply each side by 3/10

25/6 * 3/10 = 10/3c * 3/10

3/6 * 25/10 = c

1/2 * 5/2 =c

5/4 =c

Change back to a mixed number

1 1/4 =c

Please help me find the value of “ find the value m

Answers

Answer:

Add those angles together. PQT is the sum of the angles PQS and SQT

3x+13+6x-2

add like terms

9x-11

angle PQT is equal to 9x-11.

Step-by-step explanation:

[tex]\sqrt{9x^2[/tex]

Answers

Answer:

3x

Step-by-step explanation:

[tex] \sqrt{9 {x}^{2} } [/tex]

[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } x[/tex]

[tex] = 3x[/tex]

1. When adding two integers, what will the sign of the sum be if: c. one integer is positive and one integer is negative?

Answers

Answer:

Step-by-step explanation:

The largest absolute value gets the sign.

To use an example

4 - 8

Think money for a moment. You have 4 dollars in your pocket. You owe your mother 8 dollars. Where are you?

You should think you are 4 dollars in debt. That being the case, the sign of the answer is minus.

4 - 8 = -4  Eight is the largest number if its absolute value is taken. Absolute value means you turn it positive and subtract.

Suppose the question is

-9 + 5   Again money. You have 5 dollars in your pocket, but this time you owe mom 9 dollars

She wants her -4 dollars right now.

A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x +8. Which expression represents the lenght of the garden?

Answers

Answer:

creo que es la respuesta 8× +8=72

The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.

Answers

Answer:

x = 70

Step-by-step explanation:

The sum of the angle measures of a quadrilateral is 360°

76 + 92 + 122 + x = 360

168 + 122  + x = 360

290  + x = 360

x = 360 - 290

x = 70

You can ever CROSS-CHECK

76 + 92 + 122 + 70

290  + 70

= 360

thus cross-checked

Greg can complete a landscaping job in six days and Jeff can complete the same job in four days. Working together, and how many days could they complete the job?

Answers

Answer:

2.4 days

Step-by-step explanation:

they could complete the job in :

(6×4)/(6+4) = 24/10 = 2.4 days

Greg can complete work=6days=aJeff can complete the job=4days=bBoth can complete in

[tex]\\ \rm\longmapsto \dfrac{ab}{a+b}[/tex]

[tex]\\ \rm\longmapsto \dfrac{6(4)}{6+4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{24}{10}[/tex]

[tex]\\ \rm\longmapsto 2.4days[/tex]

Which numbers can be divided by 6 with no remainder? Select all that apply. 114 8 18 204 106 221​

Answers

Answer:

They are: 114, 18, 204.

In order to go in the field trip you must accuse 75 positive behavior points you found out that you have 45% of the points necessary to go how many points do you have

Answers

Answer:

33.75

Step-by-step explanation:

1. figure out equation - 45% of 75.

2. 45% = 45/100 = 45 ÷ 100

3. 45/100 /75

Question 1
A factory has to transport raw materials to a project site. The total weight of the raw material will not be less than 1,500 tons. The factory manager plans
to use two different trucking firms, Big Red has heavy duty trucks that can transport 200 tons at a cost of $50 per truckload. Common Joe is a more
economical firm, costing only $20 per load, but its trucks can transport only 90 tons. The factory manager does not wish to spend more than $450 on
transportation. The availability of trucks is the same for both firms.
Part A
What inequality will show the number of trucks used to transport the required raw material? Replace the inequality sign with the equal sign. Go to
your math tools and open the Graph tool to graph the resulting equation and paste it into the box below. Describe which part of the graph should
be shaded and whether the line should be dashed or not.

Answers

Answer:

simple answer

Step-by-step explanation:

If you buy a stock originally valued at 2500 then sell that stock later at $2550 what is the percent of increase in the stock

Answers

Answer:

2550-2500 = 50

25% percent increase.

can image 2 be the reflected figure

Answers

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Answer:

we need the image

Step-by-step explanation:

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