A directed segment QR¯¯¯¯¯ with endpoints at Q (2, 1) and R (8, 13) is partitioned from Q to R into a 1:2 ratio at point Z. What are the coordinates of Z?


(2, 4)


(4, 5)


(6, 9)


(9, 10)

Answers

Answer 1

Answer:

The coordinate of the point Z is (4, 5)

Step-by-step explanation:

The given information are;

The coordinates of the endpoints of the directed segment QR are Q(2, 1) and R(8, 13)

The ratio of the partition of the directed line segment QR from Q to R = 1:2

The location of the point at the directed line segment is partitioned = Point Z

Therefore, we have;

The proportion of the partition segment QZ to QR is given as follows;

QZ = 1/(1 + 2) × QR  = 1/3·QR

ZR = 2/(1 + 2) × QR  = 2/3·QR

Which gives the coordinate of the point Z as follows;

The coordinate of the point Z = (2 + (8 - 2)×1/3, 1 + (13 - 1)×1/3)

The coordinate of the point Z = (2 + 2, 1 + 4) = (4, 5)

The coordinate of the point Z = (4, 5).


Related Questions

hhhheeeellllpppppp pls​

Answers

Answer:

3rd one 1000 times greater

Step-by-step explanation:

first you make 10^9 into 1000000000 then you make 10^6 into 1000000 then you divide them both and you get 1000

A 7-kg bag of apples for $10

Answers

Answer:

0.7 kg = $1

Step-by-step explanation:

7 kg - $10

? kg - $1

7 / 10 = 0.7

0.7 kg = $1

Let me know if I did something wrong :)

Answer:

7:10

Step-by-step explanation:

I do not know if this is a ratio problem but if this is than the answer is 7:10

Simplify: 45÷3+2×8-12+42


Show working

Answers

15+2*8-12+42
15+16-12+42
31-12+42
19+42
61

Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation?
Can someone please help me ASAP!!

Answers

Answer:

[tex]\huge\boxed{7\ \text{inches}}[/tex]

Step-by-step explanation:

As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.

However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.

Hope this helped!

The value of y varies directly with x. When y=2 4/7, x=3/7 .

What is the value of y when x is 2/7 ?


A. 1 5/7

B. 2 /37

C. 3 1/7

D. 3 4/7

Answers

Answer:

1 5/7

Step-by-step explanation:

I literally just took the test so yeah

Answer:

I think the answer is 2 3/7. because you are decreasing 1/7.

Step-by-step explanation:

Solve the equation (leave your answer as an improper fraction)

x-2/3=-2

Answers

x = -2 + 2/3
= -6/3 + 2/3
= -4/3

Answer:

x = -2 + 2/3

= -6/3 + 2/3

= -4/3

Lauren is making muffins. Her muffin recipe calls for 3 1 4 cups of flour. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.

Answers

Answer:

15.14 cups is the answer,  just do 5*3 then put the 14 into place it should be the answer

Write the equation of the line that passes through the point (4, 3) and has a slope of
5/4.
y = 5/4x + 17
y = 5/4x - 2
y = 5/4x - 8
y = 5/4x + 1/4

Answers

Yyhheejejehehehebdhehehene

Helppppppppp????????

Answers

Answer:

esxrdctfvgbyhunijmkhn;bygitvcrfydxtesjtfhctryrx6

Step-by-step explanation:

whats the answer to 5(x−2)+3x−4= 38

Answers

Answer:

x = 6.5

Step-by-step explanation:

5(x−2)+3x−4= 38

5 times x, 5 times -2 =

5x - 10 + 3x - 4 = 38

Combine like terms

5x + 3x = 8x

8x - 10 - 4 = 38

Add 10

8x -10 +10 -4 = 38 +10 =

8x -4 = 48

Add 4

8x -4 +4 = 48 +4

8x = 52

Divide by 8

8x/8 = 52/8 =

x = 6.5

(12x – 13) m
(7x + 2) m
(2x + 17) m
E

Answers

Answer:

x = 3

Step-by-step explanation:

Since the 3 angles in the triangle are equal, then the triangle is equilateral.

Thus the 3 sides are congruent.

Equate any 2 of the sides and solve for x, that is

12x - 13 = 7x + 2 ( subtract 7x from both sides )

5x - 13 = 2 ( add 13 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

the distance between the two points (-6, 1) and (-4, 5). Round to the nearest tenth.

Answers

Answer:

d = 4.5

Step-by-step explanation:

d = [tex]\sqrt{\s(x2-x1)^{2} +(y2-y1)^{2}}[/tex]

d = [tex]\sqrt{(-4+6)^2+(1-5)^2}[/tex]

d = 4.5


Which equation represents a linear function that has a slope of 4/5 and a y-intercept of -6?

a. y=-6x+ 4/5
b. y=4/5x-6
c. y=4/5x+6
d. y=6x+ 4/5

Answers

B; The formula is y=Mx+b
The slope is M and the y intercept is b so the answer would be B

If LMN=XYZ, which congruences are true by CPCTC?

Answers

Answer: this is how you do it

Step-by-step explanation:

For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.

PLEASE HELP Identify and solve the inequality that
represents how many $20 bills, n , you can withdraw from the account without
going below the minimum balance. Current amount $320.00 minimum $100.00

Answers

you can withdraw 11 times before it reaches the minimum of $100

Write the inverse of the function.
f(x) = x2 + 7

Answers

[tex]f(x) = {x}^{2} + 7 [/tex]

[tex]y = {x}^{2} + 7 [/tex]

Subtract the sides of the equation minus 7

[tex]y - 7 = {x}^{2} [/tex]

Take the square root of both sides of the equation

[tex]x = \sqrt{y - 7} [/tex]

So ;

[tex] {f}^{ - 1}(x) = \sqrt{x - 7} [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

what is 1 +1 i hav a home work to doo ples helps mee

Answers

Answer:

2

Step-by-step explanation:

add

42 divided by -6+5 show step by step

Answers

Answer:

17

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

42/-6+5

-7+5 = -2

Solve for m.
m
15.02 = + 19.16
-4
m
Submit

Answers

Answer:

The answer is No.

Step-by-step explanation:

Due to 19.16 - 4 equaling 15.16, it isn't correct. 15.16 doesn't equal 15.02.

If I missed part of the question let me know, the question seems incomplete.

suppose you take the small prism and stack it on top of the larger prism. what will be the volume of the composite figure?

Answers

The answer is D: 1,512 cubic inches. You can get this by multiplying the number on the first cube together, multiplying the numbers on the second cube together, and then adding those two numbers together.

Below, you are given the 2012 value of a product and the rate at which the value is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the year. (Let t = 12 represent 2012.) 2012 Value Rate $48,000 $2200 decrease per year

Answers

Answer:

[tex]y = 48000 - 2200x[/tex] --- equation

[tex]y = 37000[/tex] --- value at 5th year

Step-by-step explanation:

Given

[tex]Value = \$48000[/tex]

[tex]Rate = \$2200[/tex] decrease

Required

Determine the linear equation

Determine the value at the 5th year

Represent years with x.

If the rate in 1 year is 2200,

in x years, it'll be 2200x (decrement)

So, the value (y) at x years is.

[tex]y = 48000 - 2200x[/tex]

The value at the 5th year is when x = 5.

So, we have:

[tex]y = 48000 - 2200 * 5[/tex]

[tex]y = 48000 - 11000[/tex]

[tex]y = 37000[/tex]

A television set can be purchased with a $200 down payment plus a $39.99 monthly payment. Alternatively, the television can be purchased with no money down and monthly payments of $59.99. Solve for the number of months until the payments are of equal value.

Answers

Answer:

10 months

Step-by-step explanation:

Let x denotes number of months.

Down payment of first TV = $200

Per month payment of first TV = $39.99

Total payment of first TV [tex]=200+39.99x[/tex]

Down payment of second TV = $0

Per month payment of second TV = $59.99

Total payment of second TV [tex]=0+59.99x=59.99x[/tex]

To find number of months until the payments are of equal value,

solve [tex]200+39.99x=59.99x[/tex]

[tex]200+39.99x=59.99x\\200=59.99x-39.99x\\200=20x\\x=\frac{200}{20}\\ x=10[/tex]

So, payments become of equal value after 10 months.

what is the answer for x+7=2(x-15)

Answers

Answer:

x=37 Hope this helped <3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+7=2(x−15)

x+7=(2)(x)+(2)(−15)(Distribute)

x+7=2x+−30

x+7=2x−30

Step 2: Subtract 2x from both sides.

x+7−2x=2x−30−2x

−x+7=−30

Step 3: Subtract 7 from both sides.

−x+7−7=−30−7

−x=−37

Step 4: Divide both sides by -1

Answer:

[tex]\boxed {x = 37}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x + 7 = 2(x - 15)[/tex]

-Use Distributive Property:

[tex]x + 7 = 2(x - 15)[/tex]

[tex]x + 7 = 2x - 30[/tex]

-Take [tex]2x[/tex] and subtract it from [tex]x[/tex]:

[tex]x + 7 - 2x = 2x - 2x - 30[/tex]

[tex]-x + 7 = -30[/tex]

-Subtract [tex]7[/tex] to both sides:

[tex]-x + 7 - 7 = -30 - 7[/tex]

[tex]-x = -37[/tex]

-Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-37}{-1}[/tex]

[tex]\boxed {x = 37}[/tex]

So, the value of [tex]x[/tex] is [tex]37[/tex].

Simplify the following expression:

2x − 2y + 5z − 2x − y + 3z NEED HELP PLZ :(

A x − 3y + 8z
B 2x − 2y + 8z
C 3y + 8z
D−3y + 8z

Answers

Answer:

D) -3y + 8z

Step-by-step explanation:

2x - 2y + 5z - 2x - y + 3z

first, group the same variables together.

2x - 2x - 2y - y + 5z + 3z

then, this step which I don't have a name for.

2x - 2x = 0x.

-2y - y = -3y

5z + 3z = 8z

0x - 3y + 8z

or, -3y + 8z

The answer would be d !

BRAINLIEST ANSWER! I NEED HELP ASAP!!

Answers

Answer:

The answer is in the picture. I believe it is correct :)

Answer:

yep i checked it too its right

In the data set #1 {75,95,80,65,85}, what is the range

Answers

30 because the range is the difference between largest and smallest number in the set. So 95-65

Answer:

The range is 30

Step-by-step explanation:

The range is the biggest number which is 95 subtracted from the smallest one 65 which is 30

How many 1/3 cup servings are in 5/6 cup?

Answers

2

1/3 x 2 = 2/6
2/6 + 2/6 = 4/6

Answer:

2/3 Cups

Step-by-step explanation:

2/3 cups would fit but there would still be 1/6 cup left over.

A test has a mean of 80 with a standard deviation of 4. Which of the following scores is within one standard deviation of the mean?
A
75
B
77
С
BO
D
90
E
09

Answers

Answer:

B

Step-by-step explanation:

Mathematically, we shall be using the z-score here

Z-score = (x-mean)/SD

From the question, mean = 80 and SD = 4

So we want to get the option in the question that has a z-score of 1 or below

Let’s look at 75

80-75 = 5 ( this is clearly above 1 standard deviation of 4)

For 77;

80 -77 = 3

This is less than the standard deviation of 4, meaning it is within 1 standard deviation of the mean

Option B) is correct.

Step-by-step explanation:

Given :

Mean [tex](\mu)[/tex]  = 80

Standard Deviation [tex](\sigma)[/tex]  = 4

Calculation :

We have to find the score that would be 1 deviation from the mean. Which means, the interval [tex](\mu-\sigma, \mu+\sigma)[/tex]

[tex]\mu-\sigma = 80-4=76[/tex]

[tex]\mu+\sigma =80+4=84[/tex]

The interval is (76,84)

Therefore, option B) is correct.

For more information, refer the link given below

https://brainly.com/question/23907081?referrer=searchResults

HELP!!! RIGHT NOW!! Please solve the problem as soon as possible!

Answers

Answer:

The domain is continuous and the weight y of x identical hardcover books

Step-by-step explanation:

Discrete means non continuous data. This is continuous and equal so the domain is continuous.

Also, precipitation each week can vary so that won't work. Eating carrots each day can also vary so that doesn't work. The cost of an item can vary almost every day! So that is not true.

Therefore it is the last one, because it is identical and all of the coordinates make (1,3).

Hope this helps! :)

3) Car A and B travel in opposite directions. Both cars leave the same location at the same time. Car A is traveling west at a speed of 10 mph more than Car B, which is headed east. Find the speed of Car A if the two cars are 300 miles apart after traveling 3 hours. Chart is optional. Include units in your answer. *

Answers

Let, speed of car B is -x.

So, speed of car A is x + 10.

Relative speed of A w.r.t B is ,

[tex]v_{ab}=(x+10)-(-x)\\\\v_{ab}=2x+10\ mph[/tex]

So, time taken by A to travel 300 miles relative to B given by 3 hours .

[tex]v_{ab}=2x+10\\\\\dfrac{300}{3}=2x+10\\\\x = 45 \ mph[/tex]

Therefore, speed of car A is 45 + 10 = 55 mph.

Hence, this is the required solution.

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