Segment AB has endpoints with coordinates A: (-4, -7) and B: (8, -4). Determine the value of the x-coordinate of the interior point that separates Segment AB into lengths with a ratio of 8:5. Record answer to the nearest tenth.

Answers

Answer 1

Answer:

 ≈ 3.4

Step-by-step explanation:

Coordinates of the point that divide segment with endpoints A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] ) in a ratio a : b are

[tex]\frac{bx_{1} +ax_{2} }{a+b}[/tex] , [tex]\frac{by_{1} +ay_{2} }{a+b}[/tex] )

A(- 4, - 7)

B(8, - 4)

Ratio 8 : 5

x-coordinate is [tex]\frac{5(-4)+8(8)}{8+5}[/tex] = [tex]\frac{44}{13}[/tex] ≈ 3.4


Related Questions

a total of 234 tickets were sold for the school play. they were either adult tickets or student tickets. the number of students tickets sold was two times the number of adult tickets sold. how many adult tickets were sold.

Answers

Answer:

78 adult tickets were sold

2x + x = 234

3x = 234

x = 78

a cube of wood exerts a pressure of 2Pa when it is placed on a floor . What is the force exerted by the cube if its surface area is 5m square?​

Answers

Duh it’s 5m square that’s the angels

7th grade math
I will give brainliest to right answer
6 = -4/5 s
what is the value of s

Answers

Answer:

[tex]\frac{-4}{5} s = 6\\-4s = 6*5\\-4s = 30\\s = \frac{30}{-4}[/tex]

s = 30/-4   or      -7.5

lemon made 8 5/8 cups of lemonade. she drank 4 3/8 cups of the lemonade. how many cups of lemonade does she have left

Answers

Answer: 4 1/4

Step-by-step explanation:

8 5/8

-4 3/8

4 2/8 or 4 1/4

Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?

Answers

Answer: The answer is 27

Given:

Mr. Roberts will drive 56 milesHe has 29 more miles to go

We will:

Subtract the total distance he plants to travel by the amount he has left.

Equation: [tex]\mathrm {56 - 29 = 27}[/tex]

Our answer is 27. Best of Luck!

danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4
which statement best describes the function ?
((this is for a text so please don’t guess))

Answers

Answer:

The function is non linear.

Step-by-step explanation:

Answer:

The function is nonlinear

Step-by-step explanation:

I got it wrong when i guessed something else

x+2y-z = 9
-2x+y+z= 1
2x-y+2z= -5

Answers

Answer:

I don't understand the first one

What is the answer to The sum of 2 numbers is 19 and their difference is 3? And thank you brainly for helping. I need the answers correct because I play prodigy, a math game. Thank you!

Answers

Answer:

11 and 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

8 and 11

Step-by-step explanation:

A train covers 165 km in 1.5 hours. How far will the train travel in 2.2 hours if it maintains the same speed?

Answers

Answer:

242

Step-by-step explanation:

165 ÷ 15 = 110

110 × 2.2 = 242

The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

A train covers 165 km in 1.5 hours.

The ratio of distance covered to the number of hours is 165/1.5.

Let's say in 2.2-hour train travel x number of km.

The ratio of distance covered to the number of hours x/2.2

Both ratios must be the same,

x/2.2 = 165/1.5

x = 110 x 2.2 = 242 km

Hence "The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch? Group of answer choices 4/7 3/4 1 3/4 1 1/2

Answers

Answer:  1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP  1

Writing out the equation to represent if 7 cups of  apples make 4 batches   One batch is as a result of how many  cups of apples

LET x be number of cups of apples to make each batch

7 cups of  apples = 4 Batches

        x cups of apples = 1 Batch

STEP 2  Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches  X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x   = 7 / 4 =  1 3/4

number of cups of apples to make each batch=  1 3/4

What is the slope intercept form of a line perpendicular to the line y= -3/2x -7 which passes through (-3,-4)?

Answers

Answer:

y= -3/2^2-7x-23/2

Step-by-step explanation:

Answer:

y=-3/2x

Step-by-step explanation:

8.78 = 6.2 show your work

Answers

Answer:

don't cheat

Step-by-step explanation:

no answer for you

if 2 consecutive Integers have a Sum of 127, find the number​

Answers

127/2 = 63.5
--> 63 & 64

What is 8 times 5 times 6 times 21

Answers

5,040! would be the answer

Answer:

5040

Step-by-step explanation:

multiplying is just repeated addition so this would be the same as adding 8+8 5 times and 21+21 6 times

Please help will give brainliest if its correct

Answers

Answer:

radius squared

Step-by-step explanation:

(1+sinA-cosA)/1+sinA+cosA=(1+sinA+cosA)/1+sinA-cosA=2cosecA​

Answers

Answer:

Hi,

LHS = sinA-cosA+1/sinA+cosA-1

divide both numerator and denominator by cosA

LHS=(tanA−1+secA)/(tanA+1−secA)LHS=(tanA−1+secA)/(tanA+1−secA)

Now

sec2A=1+tan2Asec2A=1+tan2A

sec2A−tan2A=1sec2A−tan2A=1

Using above relation at denominator of LHS

LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)

LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))

LHS=1/(secA−tanA)LHS=1/(secA−tanA)

LHS=RHSLHS=RHS

Hence Proved.

I think above proof will clear your doubt,

All the best.

Kedar earns a monthly salary of $2,200 plus a 3.75% commision on the amount of his sales at men's clothing store. What would he earn this month if he sold $4,500 in clothing?

Answers

Answer:

$2368.75

Step-by-step explanation:

Kedar earns a monthly salary of $2200 and a commission of 3.75%

He sold $4500 this month

The first step is to calculate his commission for this month

His commission can be calculated as follows

= 4500 × 3.75/100

= 4500 × 0.0375

= 168.75

Therefore yr amount earned this month can be calculated as follows

= 2200 + 168.75

= $2368.75

0.6 divided by what equals 2.5

Answers

Answer: 0.6 divided by 0.24 equals 2.5

Answer:

1.5

Step-by-step explanation:

Do the reverse/opposite/check division with multiplication.

2.5 · 0.6 = 1.5  

What is the area of this trapezoid?

Answers

Answer:

153

Step-by-step explanation:

7 3 2 = 2 insert symbols

Answers

Answer:

7 - 3 - 2 = 2

Step-by-step explanation:

7-3-2=2

Hope it is useful!!

A certain map shows two roads. Road A is 1 1 2 miles long but is 1 7 8 inches long on the map. What is the unit rate for inches per mile on this map​? If road B is 8 miles ​long, how long is road B on the map​?

Answers

Answer:

a) What is the unit rate for inches per mile on this map?

= 5/4 inches per mile

b) If road B is 8 miles long, how long is road B on the map?

10 inches on the map

Step-by-step explanation:

a) A certain map shows two roads. Road A is 1 1/2 miles long but is 1 7/8 inches long on the map. What is the unit rate for inches per mile on this map​?

Unit rate for inches per mile is calculated as:

1 7/8 inches/ 1 1/2 miles

= 15/8 / 3/2

= 15/8 × 2/3

= 5/4 inches per miles

b) If road B is 8 miles ​long, how long is road B on the map​?

The unit rate is given as:

5/4 inches per miles

Hence,

Road B = 8 miles long

The length of Road B on the map =

5/4 inches per miles × 8 miles

= 10 inches

Round 59..166 to the nearest tenth

Answers

Answer:

59.2

Step-by-step explanation:

so each number placement after the decimal is different.

it goes tenths place, hundredths place, thousandths place, ten thousandths place and so forth

Answer:

59.2

Step-by-step explanation:

the tenth place is the 1st place on the right side of the dwecimal. so this rounded to the nearest tenth woul be 59.2, since 6 is enough to make 1 round up one more

A stick is 20cm long.A student makes a 5% error in measuring the stick. find two possible values for the student's measurement​

Answers

The two possible measurements given by the student are :

19 cm or 21 cm

Given the Parameters :

Length of stick = 20 centimeters Percentage Error in measurement = 5%

The length of the error in measurement can be calculated thus :

Percentage error in measurement × length of stick 20 cm × 5% = 1 cm

Therefore the student's measurement can be expressed as :

Actual measurement ± actual length 20 - 1 or 20 + 1 19 or 20

Therefore, the possible measurements of the student are 19 or 21 cm

Learn more : https://brainly.com/question/18796573

Hey my old account is ilikebug it got into minus points somehow so this is my new account

Answers

Answer: Hi hope your new account doesn't malfunction.

(25)2×100÷23+[24÷(13−5)]

Answers

Answer:

100*100/23+(24/8)

100*100/23+3

100*4.37+3

43.7+3

46.7

Step-by-step explanation:

Two lines, R and M, are represented by the following equations:

Line R: 2x + 2y = 18
Line M: x + y = 9

Which statement is true about the solution to the set of equations? (4 points)

a
It is (18, 9).

b
It is (9, 18).

c
There are infinitely many solutions.

d
There is no solution.

Answers

C because when the equations are Simplified you will get y=-x+9 for both which will give them the same line meaning the will have many Solutions

please everyone mark me as brainlest

Answers

Answer:

for brainliest you have to give answers not to ask questions

Step-by-step explanation:

then the people choose you brainliest if you give good answers

BRAINLIEST! Please help me with the following riddle (its part of an assignment):

If an electric train is traveling south, which way is the smoke going?

Answers

Answer:

The electric train produces no smoke.

Step-by-step explanation:

Hope this helped! :>

Answer:

There is no smoke.  This is because the train is electric so it does not even matter the direction.

.
Round 1.567 to the nearest tenths place.
1.5
1.6
1.57
1.56

Answers

1.567 rounded to the nearest tenths place is 1.6

Answer:

1.567 rounded to the nearest tenth place

5 is in the tenth place and 6 is after it. 6 is above 5, so 5 rounds up.

1.6 is your answer

The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals

Answers

Answer:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Step-by-step explanation:

Given that polynomial:

[tex]p(x)=x^3-7x-6[/tex]

Known factor: [tex](x+1)[/tex]

To find:

Equation of the polynomial as the product of linear factors.

Solution:

The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic.  That quadratic will have 2 solutions.

We can solve the quadratic in two linear factors and as a result we will have the answer.

First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.

[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]

Solving the quadratic:

[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]

So, the answer is:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Answer:

(x+1)(x+2)(x-3)

Step-by-step explanation:

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