What are the coordinates of the point on the directed line segment from ( − 10 , 2 ) (−10,2) to ( − 10 , − 5 ) (−10,−5) that partitions the segment into a ratio of 6 to 1?

Answers

Answer 1

Answer: [tex](-10,-4)[/tex]

Step-by-step explanation:

Given

The points joining line segment are (-10,2) and (-10,-5)

Using section formula, a point joining segment  [tex](x_1,y_1)\ \text{and}\ (x_2,y_2)[/tex] divides it in k:1  has coordinates

[tex]x=\dfrac{kx_2+1\cdot x_1}{k+1}[/tex], [tex]y=\dfrac{ky_2+y_1}{k+1}[/tex]

Ratio is 6:1

Coordinates are

[tex]\Rightarrow x=\dfrac{6(-10)+(-10)}{6+1}\\\\\Rightarrow x=-10[/tex]

[tex]\Rightarrow y=\dfrac{-5(6)+1(2)}{6+1}\\\\\Rightarrow y=\dfrac{-28}{7}\\\\\Rightarrow y=-4[/tex]

Thus, the coordinates are [tex](-10,-4)[/tex]


Related Questions

Find the distance between two points (0, 3) and (-1,3).

Answers

Answer:

5

Step-by-step explanation: i used a calculator and it said 5.099 but just round it up to 5

Answer:

1

Step-by-step explanation:

even if it is going back-wards, it is still one, think of it as absolute value

also again, if brainly tries to delete this answer, this community really is going down the dump

Hi can anyone help me with this Q ? It’s for my final. I would appreciate it a lot !!
-
The angle of elevation from a boat to the top of a 125ft hotel is 22°
How far is the boat from the base of the hotel ? ( round to the nearest TENTH )

Answers

Answer: B

Step-by-step explanation:

Bc said so

if 2x + 3y = 12 and xy = 6, find the value of 8x^3 + 27y^3​

Answers

Answer:

The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.

Step-by-step explanation:

Let be the following system of equations:

[tex]2\cdot x + 3\cdot y = 12[/tex] (1)

[tex]x\cdot y = 6[/tex] (2)

Then, we solve both for [tex]x[/tex] and [tex]y[/tex]:

From (1):

[tex]2\cdot x + 3\cdot y = 12[/tex]

[tex]2\cdot x = 12- 3\cdot y[/tex]

[tex]x = 6 - \frac{3}{2}\cdot y[/tex]

(1) in (2):

[tex]\left(6-\frac{3}{2}\cdot y \right)\cdot y = 6[/tex]

[tex]6\cdot y-\frac{3}{2}\cdot y^{2} = 6[/tex]

[tex]\frac{3}{2}\cdot y^{2}-6\cdot y + 6 = 0[/tex]

The roots of the polynomial are determined by the Quadratic Formula:

[tex]y_{1} = y_{2} = 2[/tex]

By (1):

[tex]x = 6 - \frac{3}{2}\cdot (2)[/tex]

[tex]x = 3[/tex]

If we know that [tex]x = 3[/tex] and [tex]y = 2[/tex], then the final value is:

[tex]z = 8\cdot x^{3}+27\cdot y^{3}[/tex]

[tex]z = 8\cdot 3^{3}+27\cdot 2^{3}[/tex]

[tex]z = 432[/tex]

The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.

Find the volume of the solid. Round your answer to the nearest hundredth.

Answers

Answer: 27.6

Step-by-step explanation:

tan 36 = 1/x

x =1/ tan 36 x = 1.38 which is your apothem

area of pentagon = 5x2x1.38/2 = 6.9

now do 6.9 x 4 = 27.6

The volume of the solid is 27.52 cubic yards

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a pentagonal prism

The base length of prism is 2yd

The height of prism is 4 yd

Volume of pentagonal prism V = 1/4 √(5(5+2√5))a²h

a is the base length and h is height

V = 1/4 √(5(5+2√5))4×4

V=27.52

Hence, the volume of the solid is 27.52 cubic yards

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

Please help I wanna pass

Answers

Answer:

Everything is correct except for the second one and the ones you checkmarked.

Step-by-step explanation:

Please help I’ll give brainliest

Answers

Answer:

2 is the base

Step-by-step explanation:

2^3

2 is the base and 3 is the exponent

The answer is the base is 2 (first option)

Multiply the polynomials.
(8x2 + 6x + 8)(6x-5)
A. 48x3 - 4x2 + 18x + 40
B. 48x3 - 76x2 + 18% - 40
C. 48x3 - 4x2 + 78x - 40
D. 48x3 - 4x2 + 18x- 40

Answers

I’m pretty sure that the answer is D

Pls help. It’s quite late <3

Answers

Answer:

a) 120

Step-by-step explanation:

B is twice the size of A

1011+1111=in binary answer, anyone that answer me first I will follow u​

Answers

Answer:

Step-by-step explanation:

answer is   [tex](11010)_{2}[/tex]

Neil is buying steak for a cookout on Saturday. Steak is on sale for $9.62 per pound. If he buys 7.5 pounds of steak, how much money does he spend?

Answers

Answer:

$72.15

Step-by-step explanation:

x= pounds of steak

$[tex]9.62x[/tex] = money spent on steaks

If Neil buys 7.5 pounds of steak then x =7.5

$9.62(7.5) = $72.15

Answer:

$72.15

Step-by-step explanation:

1 pound = $9.62

7.5 pounds = $9.62 × 7.5

= $72.15

The Jenkins family's monthly budget is
shown in the circle graph. The family has a
monthly income of $4,800. How much
money do they spend on transportation
each month?
Emergency fund
5%
Transportation
5%
Housing
30%
Medical
22%
Food
15%
Clothing
6%
Entertainment
7%
Savings
10%​

Answers

Answer:

$240

Step-by-step explanation:

They spend 5% of their monthly income on transportation, so you want to work out 5% of 4800.

An easy trick with 5% is to divide by 10 (drop the ending 0) and then divide by 2. This would be 4800/10/2, or 480/2, which gives 240.

**This content involves using percentages which you may wish to revise.

i have no idea what to do can someone pls help me quick

Answers

The correct answer is D. I found this by plugging in zero for X into each equation until I got 1/4 for a Y
The correct answer is d

Which verbal expression shows 4 ÷ n?

Your answer:

n divided by 4


the quotient of 4 and n


the product of 4 and n


4 decreased by n

Answers

Answer:

'the quotient of 4 and n ' is the correct answer

The area of a rectangle is expressed as (15x + 20) square feet. If the width of the rectangle is 5 feet, what is an expression to represent the length of the rectangle.
(No picture)

Answers

Answer: Length = (15x + 20) / 5

Step-by-step explanation:

The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:

Area = length × width

(15x + 20) = length × 5

Length = (15x + 20) / 5

Therefore, the expression is Length = (15x + 20) / 5.

Solving further, the length will be:

= (15x + 20) / 5

= 3x + 4

joey is going shopping for a new pair of sneakers. He finds a pair that have an original price of $155. They are on sale today for 30% off. How much does Joey pay for the sneakers including 8% sales tax?

Answers

Answer:, Joey will pay $117.18 for sneakers.

Step-by-step explanation:

Given: original price = $155

Discount rate = 30%

Tax rate = 8%

Price after discount = Original price - (Discount) x (original price)

[tex]= 155-0.30\times 155\\\\=155-46.5\\\\=\$\ 108.5[/tex]

Tax = Tax rate x (Price after discount)

[tex]= 0.08 \times 108.5[/tex]

= $ 8.68

Final price for sneakers = Price after discount + Tax

= $ (108.5+8.68)

= $ 117.18

Hence

in an isosceles triangle KLM, ∠K is congruent to ∠M and m ∠M=55°. find the m ∠L

Answers

Answer:

70°

Step-by-step explanation:

m ∠L = 180-(55+55)

= 180-110

=70°

the question is on the image​

Answers

Answer:

70

Step-by-step explanation:

the fraction 7/10 turns into 70% which means 70 out of 100 tickets were sold.

Answer:

70 tickets sold

Step-by-step explanation:

Multiply the number of tickets by the fraction of tickets sold

100 *7/10

Rewriting

100/10 * 7

10*7

70

find the volume of this cone. round to the nearest tenth. l=10 r-6

Answers

Answer:

376.8

Step-by-step explanation:

Formula Volume Cone = πr² * h/3

Volume = 3.14 * 36 * 3 1/3

Volume ≈ 376.8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 301.6

-------------------

answer above isn't right this is, trust me.

(4p _ 2k)(3)
in distributive property

Answers

Assuming that _ is meant to be a minus sign,
12p - 6k
3(4p) - 3(2k)

Answer:

12 p - 6k

Step-by-step explanation:

Let us assume that _ is meant to be minus sign.

( 4 p - 2k ) ( 3)

use the distributive property

3 × 4p - 3 × 2k

12 p - 6 k

(a+b)(a-b)=? Đây là hằng đẳng thức nào?

Answers

Answer:

không

Step-by-step explanation:

Answer:

(a + b)(a - b) = a² - b²

Step-by-step explanation:

(a + b)(a - b) = a (a - b ) + b (a - b )

                 = a²  - ab + ba  - b²             [ ab = ba ]

                 = a² - ab + ab - b²               [ ab - ab = 0 ]

                 = a² - b²

Put the following equation of a line into slope-intercept form, simplifying al
fractions.
2y - 3x = 18

Answers

Answer:

Step-by-step explanation:

Simplifying

2y + -3x = 18

Reorder the terms:

-3x + 2y = 18

Solving

-3x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-3x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

-3x + 0 = 18 + -2y

-3x = 18 + -2y

Divide each side by '-3'.

x = -6 + 0.6666666667y

Simplifying

x = -6 + 0.6666666667y

In this addition problem, each letter stands for a different digit.
A
A
+ B B
-------------------
C C C

Find the value of A + B + C?

Answers

The answer is a+b+c equals abc

Please help don’t understand at all.

Answers

Answer:

tringlae mixed witha football goal take the fool goal out and go from there

Step-by-step explanation:

Pls help will mark brainliest and 30 points

Answers

1. Answer is option 3

2. Answer is option 3

Answer:

for #1 it's the 3rd one and for #2 it's the 4th one (2.8 meters)

Can somebody help plz help me with this?

Answers

Answer:

N-8

Step-by-step explanation:

Which fraction converts to a repeating decimal number?
CA.
1
12
B.
718
C.
127
27
D.
E.
6
10
Reset

Answers

Answer: A.

Step-by-step explanation:

Data: Fraction that turning into a repeating decimal number=x

Only step: Divide all the fractions, 1/12, 7/8, 14/25, 17/20, 6/10

Explanation: The only way to find which fraction turns into a repeating decimal is by dividing all the fractions, this can be done in any order but for this problem, lets start with 1/12 which, when divided, turns into 0.083... which is a repeating decimal

With that being said, the answer would be A.(1/12)

I hope this helps(Mark brainliest if you'd like to)

give your answer in detail plzz ​

Answers

Answer:

60% did not germinate.

Step-by-step explanation:

100% = 5

how many percent are 2 of of these 5 ?

2 = 2/5 × 5 = 2/5 × 100% = 40%

all the other seeds are then the rest of 100%.

100% - 40% = 60%

=>

60% of the seeds did not germinate.

but 40% did.

Which is the Value if this expression when m = 3 and n = -5 ​

Answers

what’s the expression?

What is the range of the given function?

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

A {x | x = –5, –4, –2, 0, 2}
B {y | y = –9, –3, 0, 5, 7}
C {x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
D {y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Answers

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

What is the range of the given function?(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)

[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]

A {x | x = –5, –4, –2, 0, 2}

B {y | y = –9, –3, 0, 5, 7}

C {x | x = –9,–5,–4,–3,–2,0,2,5,7}

D {y | y = –9,–5,–4,–3,–2,0,2,5,7}

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex] \quad \quad \underline{ \boxed{\sf{ \red{ B.)\: {y | y = –9, –3, 0, 5, 7} }} }}[/tex]

What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

The definition means:

The range is the resulting y-values we get after substituting all the possible x-values.

How to find the range?

The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)Make sure you look for minimum and maximum values of y.

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)

Answers

Answer:

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]

Set up equation

Step 1: Simplify

[tex] \frac{6i}{5 - i} [/tex]

Step 2:Multiply by conjugate

[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]

Step 3:Simplify

[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]

We can reduce this and we must make the imaginary number and real number serpate equations.

[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]

Reduce each by 2

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

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