What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? 3 2- 1- X = { m m + n ] (x2 – xa) + x3 3 6 7 8 9 10 11 x -9-8-7-6-5-4-3-2-11- -2 J (6-2) -4 -2 2 -6 -7 -8 K(8-9) 29 -10 -11 -12 -13​

What Is The X-coordinate Of The Point That Divides The Directed Line Segment From J To K Into A Ratio

Answers

Answer 1

Answer:

Step-by-step explanation:

What Is The X-coordinate Of The Point That Divides The Directed Line Segment From J To K Into A Ratio
Answer 2

The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.

What is the section of the line?

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The two endpoints are (-6, -2) and (8, -9). And m: n = 2: 5. Then the value of the x-coordinate is calculated as,

x = (2 · 8 + 5 · -6) / (2 + 5)

x = (16 - 30) / (7)

x = - 14 / 7

x = - 2

The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.

More about the section of the line link is given below.

https://brainly.com/question/6582647

#SPJ7


Related Questions

Calculate the theoretical probability of each of the following events:

You spin a spinner with 3 equal sections labeled blue, red, and purple, and it lands on purple.

Answers

Answer:

There is a 1/3 chance it lands on each section

Step-by-step explanation:

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

mm i think it’s:
3 rows
6 columns

What is the equation for -8 = p - 13

Answers

Answer: 5 is your answer hope this helped

plz make brainly

Step-by-step explanation:

5 :) hope this helps !!

Evaluate 1/3m-1-1/2n when m=21 and n=12

Answers

Answer:

12

Step-by-step explanation:

Please help me!! How do I do this?

Answers

Answer:

Taking 45 degree as reference angle

Then using sine rule

sin 45=

p/h

replacing the value of sin 45 degree by 1/root 2.so

1/root 2=9/c

doing cross multiplication

9*root 2=1*c

9 root 2 =c

therefore the value of c is 9 root 2

Step-by-step explanation:

plss help me answer this ​

Answers

Answer:

c≈5.2

Step-by-step explanation:

c=a2+b2=1.412+52≈5.19501

Which graph shows the line y = 4x - 2?

Answers

Answer:

Hi, there the answer is Graph A because the y-intercept and I did rise over run

Step-by-step explanation:

Hope this helps :)

In how many years the interest of Rs 25000 at 5.5% per year will be Rs3300?
Plzz help!!!​

Answers

Answer:

37.82 year(s)

Step-by-step explanation:

double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task

2. Which equation describes a line that has
a slope of and a y-intercept of ?
A) 5y + 4x = 2
C) Sy - 4x = 2
B) 4x5y = 2
D) -5y - 4x = 2

Answers

Answer:

What?

Step-by-step explanation:

G8ve me more info and Ill answer again

what is the standard deviation of 6, 2, 3, 1

Answers

Answer:

1.870828693387

Step-by-step explanation:

Standard Deviation, σ: 1.870828693387

Count, N:4

Sum, Σx: 12

Mean, μ: 3

Variance, σ2:  3.5

Steps

σ2 = Σ(xi - μ)2

N  =   (6 - 3)2 + ... + (1 - 3)2

4 = 14

4  = 3.5

σ = √3.5

= 1.870828693387

Joe tried to prove that the sum of a triangle's interior angle measures is 180°

Answers

Answer: Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5

Step-by-step explanation: Khan Academy

Joe made the mistake by guessing Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5.

The correct option is (b).

What is Parallel line?

The fundamental characteristics listed below make it simple to recognise parallel lines.

Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.

Given:

WE have to  prove that the sum of a triangle's interior angle measures is 180°

According to the figure <1 and <4 are the alternate interior angle and <2 and <5 are  alternate interior angle.

So, Joe made the mistake by guessing Angles ∠4 and∠2  and ∠1 and ∠5 are alternate interior angles.

Learn more about parallel lines here:

https://brainly.com/question/16701300

#SPJ2

will give brainiest!
The Pythagorean Identity states that:
(sin x)2 + (cOS X)2 = 1
Given cos 0 = 6/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction.

Answers

Answer:

[tex] \frac{4}{5} [/tex]

Step-by-step explanation:

[tex] ( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5} [/tex]

The lengths of three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. 6,9,7

Answers

Answer : acute
Right triangle : a^2+b^2=c^2
Acute triangle : a^2+b^2 > c^2
Obtuse triangle:a^2+b^2 < c^2
6^2+7^2 > 9^2

Escribe en lenguaje simbólico las siguientes expresiones, teniendo en cuenta que llamamos x a la edad de María. La edad que tenía María hace 3 años. El doble de la edad que tendrá María dentro de 10 años. La tercera parte de la edad que tenía María hace 1 año.

Answers

Answer:

i don't know that language sorry

Step-by-step explanation:

Can someone help, please

easy math equation!


4. Write an equation of the line with slope 2/3 that goes through the point (-2,5).

Answers

y

5
=

2
(
x

2
)
and
y
=

2
x
+9

1. Una proposición que necesita ser demostrada y que cuya demostración consta de un conjunto de razonamientos se llama:

A. Axioma. B. Hipótesis. C. Colorario. D. Teorema.



2. Una proposición tan sencilla y evidente por sí misma que se admite sin demostración:

A. Axioma. B. Hipótesis. C. Escolio. D. Teorema.

Answers

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

En matemáticas, un conjunto de proposiciones que deben estar respaldadas por una prueba adecuada basada en el razonamiento se denomina teorema. Se puede demostrar plenamente que todos los teoremas matemáticos son verdaderos mediante el razonamiento.

Sin embargo, un axión es evidente por sí mismo y no necesita ser probado. Es un hecho ya establecido.

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

Espero que esto ayude

Find the area of a circle with a diameter of 31.

Answers

Answer:

hope this helps

Step-by-step explanation:

31 divided by 2 = 15.5 then do 15.5 x 15.5= 240.25 then you do 240.25 x 3.14 = 754.385

Work backward to solve.
What is the starting position (x, y)?

Answers

14,4 because if you are working backwards, you’re going to do the opposite each time and 6,8 was the point after only TWO of the transformations

A polar bear weighs 3 times more than a baby elephant. Both of them together weigh 700 kilograms. How much does the polar bear weigh?

Answers

Answer:

The polar bear weighs 525kg

Step-by-step explanation:

C = Polar Bear

D = Baby Elephant

____________________________

(1)  C + D = 700 kg

(2)  C = 3D

________________________________

C = 700 - D

700 - D = 3D

700 = 4D

________________________________

525 + 175 = 700

Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.

Hope this helps you :)

Question 4
1 pts
3. Aracelli has a class of kindergardeners. Each student gets a six oz cup of milk at
snack time. How many gallons of milk will she need to buy for a class of 23 students?
O 1.08 gallons
1.1 gallons
O 2 gallons
1 gallon
1 pts
Question 5

Answers

0 2 gallons is the answer

Answer:

There is a little over 1 gallon

Step-by-step explanation:

A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got off at New Jersey?

Answers

Answer:

6 passengers got off at New Jersey

Step-by-step explanation:

let the number of passengers who got off be x and let the number of passengers who boarded the bus be y

y=2x

44 - x + y=50

y=50-44+x

y=6+x

subst y=2x

2x=6+x

2x-x=6

x=6

hiii can someone help me please it’s really greatly appreciated!!THANK YOUUU

Answers

Answer:

Step-by-step explanation:

so we know that a triangle degrees have to add up to 180 in the inside right? So we know c is 90 and so you need to find A and B. The left over degrees you have is 90 so the sum of B and A would have to be 90, thats all i can help you with sorry.

Giving brainlist to whoever answers

Answers

Answer:

C.

Step-by-step explanation:

The kids are racing around a circle on the playground with a radius of 12 feet. If they ran around it 5 times, how far did they run round to the nearest foot?

Answers

Answer:

377 feet

Step-by-step explanation:

Find the circumference on the circle, using the formula C = 2[tex]\pi[/tex]r

Plug in 12 as r, the radius, then solve:

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](12)

C = 24[tex]\pi[/tex]

Multiply this by 5, since the kids ran around it 5 times:

24[tex]\pi[/tex](5)

= 120[tex]\pi[/tex]

To the nearest foot, this is 377.

So, the kids ran round 377 feet

Square ABCD is translated 9 units to the right, followed by a translation 6 units down
Square ABCD is reflected across the y-axis, followed by a translation 6 units down
Square ABCD is translated 6 units down, followed by a translation 9 units to the right

Answers

Answer:

71

Step-by-step explanation:

ndndnrbrjen3n3nn3b2n2b2b

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

∠ G ≈ 8.3°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then

∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )

The length of a rectangular piece of
construction paper is 8 inches and the width
is 17 inches. Vincent folded the piece of
paper along its diagonal. Which
measurement is closest to the length of the
diagonal in inches?
A. 5 in.
B. 18.79 in
C. 15 in
D. 25 in.

Answers

Answer:

B 18.79

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given two points P(sinθ+2, tanθ-2) and Q(4sin²θ+4sinθcosθ+2acosθ, 3sinθ-2cosθ+a). Find constant "a" and the corresponding value of θ when these two points coincide. (0 ≤ θ < 2π)
Show your work, thanks!​

Answers

Answer:

[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]

[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1, \frac{\sqrt{3}}{2} - 1[/tex]

Step-by-step explanation:

we are given two coincident points

[tex] \displaystyle P( \sin(θ)+2, \tan(θ)-2) \: \text{and } \\ \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]

since they are coincident points

[tex] \rm \displaystyle P( \sin(θ)+2, \tan(θ)-2) = \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ )\cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]

By order pair we obtain:

[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ) = \sin( \theta) + 2 \\ \\ \displaystyle 3 \sin( \theta) - 2 \cos( \theta) + a = \tan( \theta) - 2\end{cases}[/tex]

now we end up with a simultaneous equation as we have two variables

to figure out the simultaneous equation we can consider using substitution method

to do so, make a the subject of the equation.therefore from the second equation we acquire:

[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sinθ \cos(θ)+2a \cos(θ )= \sin( \theta) + 2 \\ \\ \boxed{\displaystyle a = \tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) } \end{cases}[/tex]

now substitute:

[tex] \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2 \cos(θ) \{\tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) \}= \sin( \theta) + 2 [/tex]

distribute:

[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ)+4 \sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) - 6 \sin( \theta) \cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]

collect like terms:

[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]

rearrange:

[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) + 4 \cos ^{2} ( \theta) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + = \sin( \theta) + 2 [/tex]

by Pythagorean theorem we obtain:

[tex]\rm\displaystyle \displaystyle 4 - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) + 2 [/tex]

cancel 4 from both sides:

[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) - 2[/tex]

move right hand side expression to left hand side and change its sign:

[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+\sin(θ ) - 4\cos( \theta) + 2 = 0[/tex]

factor out sin:

[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) - 4\cos( \theta) + 2 = 0[/tex]

factor out 2:

[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) + 2(- 2\cos( \theta) + 1 ) = 0[/tex]

group:

[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(- 2 \cos(θ)+1) = 0[/tex]

factor out -1:

[tex]\rm\displaystyle \displaystyle - ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]

divide both sides by -1:

[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]

by Zero product property we acquire:

[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) + 2 = 0 \\ \displaystyle2 \cos(θ) - 1= 0 \end{cases}[/tex]

cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta

[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) \neq - 2 \\ \displaystyle2 \cos(θ) = 1\end{cases}[/tex]

divide both sides by 2:

[tex] \rm\displaystyle \displaystyle \displaystyle \cos(θ) = \frac{1}{2}[/tex]

by unit circle we get:

[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]

so when θ is 60° a is:

[tex] \rm \displaystyle a = \tan( {60}^{ \circ} ) - 2 - 3 \sin( {60}^{ \circ} ) + 2 \cos( {60}^{ \circ} ) [/tex]

recall unit circle:

[tex] \rm \displaystyle a = \sqrt{3} - 2 - \frac{ 3\sqrt{3} }{2} + 2 \cdot \frac{1}{2} [/tex]

simplify which yields:

[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1[/tex]

when θ is 300°

[tex] \rm \displaystyle a = \tan( {300}^{ \circ} ) - 2 - 3 \sin( {300}^{ \circ} ) + 2 \cos( {300}^{ \circ} ) [/tex]

remember unit circle:

[tex] \rm \displaystyle a = - \sqrt{3} - 2 + \frac{3\sqrt{ 3} }{2} + 2 \cdot \frac{1}{2} [/tex]

simplify which yields:

[tex] \rm \displaystyle a = \frac{ \sqrt{3} }{2} - 1[/tex]

and we are done!

disclaimer: also refer the attachment I did it first before answering the question

Help me ASAP I have a 67% I math the girlie needs help

Answers

Answer:

x=28

Step-by-step explanation:

4(x-5)=92

4x-20=92

add 20 to both sides

4x=112

divide 4 on both sides

x=28

Answer:

The value of x is 28

Step-by-step explanation:

4(x - 5) = 92

4x - 20 = 92

4x = 92 + 20

4x = 112

x = 112 ÷ 4

x = 28

Thus, The value of x is 28

-TheUnknownScientist

What is the area of the rectangle

Answers

Answer:

E. 54cm ^2

Step-by-step explanation:

when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm

Answer:

E

Step-by-step explanation:

length times width

6 x 9 = 54

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