on a coordinate plane, the endpoints of line segment JL are
J(-6,-4) and L(6,8). Point K lies on line segment JL and divides it into two
line segments such that the ratio of JK to KL is 5:1. What are the
coordinates of point K?*

Answers

Answer 1

Answer: (4,6)

Step-by-step explanation:

We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.

The change in x is 12, and the change in y is 12.

This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.

This means that to find K, we can subtract one of these displacements from point L.

This means that K has coordinates (6-2, 8-2)=(4,6)


Related Questions

Solve the following equation for x to find the total number of people who downloaded songs from a music site for a certain month:

x = 0.6x + 384

How many people downloaded songs from the site that month?

Answers

Answer:

960 people.

Step-by-step explanation:

x = 0.6x + 384

x - 0.6x = 384

0.4x = 384

x = 384 / 0.4 = 960.

Sam wants to create a linear function and an exponential function, both of which have a y-intercept
of (0,8) and pass through the point (9,512). Help Sam create his functions.

Answers

Step-by-step explanation:

Exponential function is

[tex]y = a \times {b}^{x} [/tex]

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

[tex]y = 8 \times {b}^{x} [/tex]

Now, plug in 9 for x. 512 for y to find b.

[tex]512 = 8 \times {b}^{9} [/tex]

[tex]64 = {b}^{9} [/tex]

[tex] \sqrt[9]{64} = b[/tex]

[tex]64 {}^{ \frac{1}{9} } = b[/tex]

[tex]4 {}^{ \frac{1}{3} } = b[/tex]

[tex] \sqrt[3]{4} = b[/tex]

So the equation is

[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]

Mrs. Barnett has 5 cups of sugar. A batch of cookies uses 1/3 cup of sugar.

How many batches of cookies can she make?

Answers

Answer:

15 batches of cookies

Step-by-step explanation:

We need to find out how many third cups do into 5 cups. We can do this by 5 ÷ 1/3

When dividing fractions, use KFC:

Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×

Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies

Hope this helps!

(PLEASE HELP ASAP!! 50 POINTS! question in the image)

Answers

ANSWER: 8x^4 +64x^3 + 98x^2 +30x


Work in image.

A video game map had a total area of 16 square meters. What are two numbers that could represent the length and the width of the map?

Answers

Answer:

4 and 4

Step-by-step explanation:

4 times 4 is 16 which would equal the area.

The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price.

Which expression represents the amount of tax that is paid on the bicycle?

Answers

ANSWER

I believe that the amount of the instant rebate is $30.  X represents the price of the bike, and 0.09 is the sales tax.

So if the bike cost $100:

0.09(100) + (100-30) = 9 + 70 = $79

Although I think I would want them to tax the bike after the instant rebate and not on the original price.

If I'm wrong about the instant rebate then it would be 1.09x-30.  Hope this helps.

Each glass mug below has a radius of 2 inches and a height of 3.75 inches. If the mugs are
sold in sets of 4, find the total surface area of the mugs, not including
the handles.

Answers

Total surface area includes the area of the 2 bases and the area of the curve surface area this was found to be 289.064 square inches for all four mugs

Mensuration of Solids

Given Data

Radius r = 2 inchesHeight h = 3.75 inchesNumber of mugs = 4

Total surface area of cylinder = 2πr(r + h)

TSA of 1 mug = 2*3.142*2(2+3.75)

TSA of 1 mug = 12.568(5.75)

TSA of 1 mug = 72.266 square inches

if the total surface area of one mug is 72.266 square inches

hence the total surface area of 4 mugs will be

= 72.266*4

= 289.064 square inches

Learn more about cylinders here:

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SUB - Mathematics
Grade - 9th

Q.1) Visualise 3.765 on the number line , using Succescive Magnification.


Note:-
• Kindly Don't spam
• Need Genuine Answer
• Don't need plagiarised answer .
• Spam/wrong/short answers will be reported....

• Don't be greedy for points.

Answers

Step-by-step explanation:

Introduction:-

Successive magnification:

In this process, we use to represent real numbers and visualize them on the number line such as by the magnifying glass, due to this we refer it as successive magnification.

Solution:-Since, we're given to visualize 3.765 on the number line, we take the number line from between 3 and 4Then, in between 3 and 4, we then visualize the portion of 3.7 and 3.8Again, in between 3.7 and 3.8, we visualize the portion of 3.76 and 3.77.At last, we point out the required number for visualizing that is 3.765, in between 3.76 and 3.77.

Which set of numbers could represent the lengths of the sides of a right triangle?

13, 21, 34

8, 14, 21

15, 18, 26

12, 16, 20

Answers

Answer:

9*9+40*40=41*41

Step-by-step explanation:

The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent the sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent the sides of a right triangle.

Help me pls

-3^3(-8n^3-3n^2)

Answers

-3^3(8n^3 - 3n^2)
-3^3 x 8n^3 - (-3^3 x 3n^2)
-27 x 8n^3 - (-27 x 3n^2)
-216n^3 - (-81n^2)
-216n^3 + 81n^2

(Use distributive property)
6 (5x + 3)

Answers

Answer:

30x + 18

Step-by-step explanation:

Using distributive property, you can find the answer like so.

Multiply 6 and 5x first

6(5x + 3)

30x + 3

Now multiply 6 by 3

6(5x + 3)

30x + 18

Hope I explained this well to you. :)

Shane went bowling with his friends. The bowling alley charges $20 for an hour of group bowling plus a fee to rent each pair of shoes. Shane's group bowled for one hour, rented 4 pairs of shoes, and paid a total of $31. Which equation can you use to find the fee, x, to rent each pair of shoes?

Answers

Answer:

4x+20=31

Step-by-step explanation:

So one hour of bowling is 20 dollars and they bowled for one hour hence the 1x20 which is equal to 20. That is the base coast we add to the variable of x that is the cost of renting one pair of shoes. And since they rented 4 pairs of shoes you multiply x by 4 to get 4x. Add the 20 dollars they paid to bowl and it is 4x+20. They paid 31 dollars in total so equal the equation to 31. 4x+20=31. Solution is $2.75 per pair of shoes. (If you want an explanation as to how to get the answer, just ask

The ratio of the dimensions of a rectangular patio are 4:7. if the shorter
dimension is 10 feet, What are the area and perimeter of the patio?

Answers

If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:

[tex]\frac{4}{7} =\frac{10}{x}[/tex]

You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.

[tex]\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}[/tex]

This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.

AREA

The formula for the area of a rectangle is: [tex]w*l[/tex]

So we can plug our dimensions into the formula: [tex]10*17.5=175[/tex]

So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.

PERIMETER

The formula for the perimeter of a rectangle is: [tex]2(w+l)[/tex]

We can plug our dimensions into the formula: [tex]2(10+17.5)=55[/tex]

So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.

yo can i get a hand here just so i dont get it wrong

Answers

ALGEBRAIC EXPRESSIONS

[tex]__________________________[/tex]

B. 72 IS THE QUOTIENT OF THE EXPRESSION72 is an addend in the expression and not the quotient.

Please help me with my work

Answers

Answer:

JM = 5 mm

Step-by-step explanation:

Δ JMK is the right angled triangle ⇒ JM² = JK² + KM²

JM² = 3² + 4²

JM = 5 mm

A rugby match lasts for 80 mins. 20 mins of a match have been played. a) what Fraction of he match has been played? b) what percentage of the match is there left to play?

Answers

25% has been played and 1/4

Answer:

a, 1/4

b, 75%

Step-by-step explanation:

a, total mins meant to be played = 80mins

mins being played = 20mins

fraction of the match being played = 20 /80 = 1/4

b, percentage of the match left to be played

= 80 - 20 = 60

then we find the fraction of the match meant to be played

60 / 80 = 3 /4

then we multiply by 100 to get the percentage

3/4 × 100 = 75 %

if this helped pls give brainliest

Eli was swimming upstream in a river and lost a plastic bottle at bridge A. He noticed the loss after swimming 10 minutes , so immediately started to swim downstream to catch it. He caught it at bridge B, which was 1 mile away from bridge A. What was the rate of water flow in miles per hour?

Answers

Using proportions, it is found that the rate of water flow was of 6 miles per hour.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The rule of three is given by:

1 mile - 10 minutes

x miles - 60 minutes

Applying cross multiplication:

10x = 60

x = 60/10

x = 6.

Hence, the rate of water flow was of 6 miles per hour.

More can be learned about proportions at https://brainly.com/question/24372153

constitutional amendment that has significantly changed the structure of congress as written in the original constitution

Answers

this isn’t the correct way because

A teacher claims that his coffee cools to a temperature of 100 degrees Fahrenheit in 5 minutes after he brews it at home in his single-cup coffee brewer. To further investigate this claim, the teacher measures how long it takes for his coffee to cool to 100 degrees for each of the next 30 days. He would like to carry out a t-test for one mean to determine if there is convincing evidence that the true mean amount of time it takes for his coffee to cool to 100 degrees is less than 5 minutes. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

The answer is: No, the random condition is not met.

A rectangle has an area of 227.9m^2.
One of the sides is 5.3m in length.
Work out the perimeter of the rectangle.

Answers

Divide the area by the side length to find the length of the other side:


227.9/5.3 = 43 m


now calculate the perimeter:

43 + 43 + 5.3 + 5.3 = 96.6m

Answer: 96.6m

Answer:

96.6 m

Step-by-step explanation:

Let the length of the other side b x m .

Then the area = 5.3 * x

227.9 = 5.3x

x = 227.9 / 5.3

= 43 m

So the perimeter = 2 * (width + length)

= 2(5.3 + 43)

= 2 * 48.3

= 96.6 m

2. What is the measure of angley?
(2 pts.)
52°
to

Answers

Answer: the answer is 55 degrees

Step-by-step explanation:

WHOEVER RESPONDS FIRST WILL GET MARKED BEST.
A circle has a diameter of 14.5 inches. Using 3.14 for 1, what is the circumference of the circles, rounded to the nearest hundredth of an inch?
22.77 inches
45.53 inches
91.06 inches 165.05 inches

Answers

[tex]c = 2 \pi \: r[/tex]

[tex]c = 2 \times 3.14 \times 14.5[/tex]

[tex]c = 91.06[/tex]

Answer:

2nd option - 45.53 inches

Step-by-step explanation:

Circumference of a circle when given the diameter is given by the formula :

[tex]\pi d[/tex]

Since we are given a certain value for pi we use that and multiply it by the diameter to given the cirumference:

3.14 × 14.5 in  =

45.53 inches

Therefore our answer is 43.53 inches (the 2nd option)

Please help me, I have no Idea how to solve this.

Answers

Answer:

19 ducks are NOT WINNERS
There is a 76% CHANCE that you will not choose a winning duck, so it is VERY LIKELY that you will choose a duck that is not a winner.

Step-by-step explanation:

Answer: 1.) 19 rubber ducks are not winners

2.) There is a 76% chance of not choosing a winning duck

1.) Step-by-step explanation: 25 times 0.24 equals 6, 25-6=19

2.) 0.24 is equal to 24% and 100-24= 76 so 76% chance of not choosing a rubber duck

Find area of shaded region.

Answers

area of shaded region = 1/4 of the circle area - triangle area

circle area = pi x r² = 3,14 x 2² = 12,56 m²

so 1/4 circle area = 12,56 : 4 = 3,14 cm²

and

triangle area = 1/2 x 2 x 2 = 2 m²

=> area of shaded region = 1,14 cm²

please help
what is the equation for the following graph

A=1

Answers

Answer:

[tex]f(x)=\sqrt{x+5}-3[/tex]

Step-by-step explanation:

Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]

Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]

[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin

Therefore, this graph has been translated 5 units to the left and 3 units down.

Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]

[tex]\implies f(x)=\sqrt{x+5}-3[/tex]

the ratio of 20 paise to Rupees 1 is option 1:5, 2:1 , 20:1, 2:3​

Answers

Answer:

1:5

Step-by-step explanation:

divide by 20 on both sides, 5 : 1.

Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest? a. $5. 33 b. $32. 00 c. $173. 33 d. $205. 33 Please select the best answer from the choices provided. A B C D.

Answers

The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we're given that:

Amonut Susan took out = $200Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).Amount paid off within 1 month

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = [tex]\dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)[/tex]

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

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Cover the entire area except for today's date and year April, 1st, Monday

Answers

Answer:

It's friday for me so here u go

Step-by-step explanation:

please help? , no decimals please,please explain to see picture. ​

Answers

Answer:

[tex]8x\sqrt{3xy[/tex]

Step-by-step explanation:

K(-3, 0), I(0, 2), and T(3, 0) are three vertices of a kite. Which point could be the fourth vertex?

Answers

The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2).

How to determine the fourth vertex of a kite

A rhomboid is a quadrilateral with two pairs of sides of equal length and two pairs of equal angles. A kite is a rhomboid whose vertices observe the following properties: [tex]P_{1} (x, y) = (-x, 0)[/tex]. [tex]P_{2} (x,y) = (0, y)[/tex], [tex]P_{3}(x,y) = (x, 0)[/tex], [tex]P_{4}(x,y) = (0, -y)[/tex].

In this question we must determine the coordinates of the fourth vertices according to the kite characteristics. After a quick comparison in the known points, the coordinates of the fourth vertex are E(x,y) = (0, -2).

The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2). [tex]\blacksquare[/tex]

To learn more on rhomboids, we kindly invite to check this verified question: https://brainly.com/question/9335456

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