prove that the line x-y=0 bisect the line segment joining the point (1,6) and (4, -1)​

Answers

Answer 1

Step-by-step explanation:

x-y=0(l.6)-(4.-1)(6-4)-(1--1)2--2=0

Related Questions

Find BD , given that line AB is the angle bisector of < CAD​

Answers

Answer:

23

Step-by-step explanation:

The answer is 23 by the definition of angle bisector.

4|x+3|<8 i need help asap

Answers

Answer:

-5 <x<-1

Step-by-step explanation:

4|x+3|<8

Divide by 4

4|x+3| /4<8/4

|x+3|<2

There are two solutions one positive and one negative, remember to flip the inequality for the negative

x+3 <2    and x+3 >-2

Subtract 3 from each side

x+3-3 <2-3   and x+3-3 >-2-3

x<-1   and x>-5

-5 <x<-1

Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?

Answers

Answer:

(-5, 3)

Step-by-step explanation:

someone please help me

Answers

Step-by-step explanation:

D) (A³/2)³ = A⁹/8

A³ whole to the power 3 is A⁹

2³ is 8

-5(n²+9)=7.
Find n.

Answers

Answer:

Step-by-step explanation:

-5n^2-45=7--->-5n^2=52--->n^2=52÷(-5)= there is no answer for this question...I mean Paired power never has a negative answer.

Plz someone do this for me I’ll give a lot of points

Answers

Answer:

RW is congruent to WX

Step-by-step explanation:

We know that PW and WV and Angle W is vertical angle so We need to include that RW congruent to WX.

Complete the sentence. The amount of time it takes to drive from your house to the library is most likely to be a function of the _____.

Answers

Answer:

D. distance

Step-by-step explanation:

really ? given the choices you needed help with that ?

only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.

Karma was given some birthday money. She puts money in an account. Every month after that, she deposits the same amount of money. The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits. What does the y-intercept mean in this situation

Answers

Answer:

y represents the amount in the bank account after 7 months.

Step-by-step explanation:

Let karma gets x money on his birthday.

He has 60 in his account initially

He deposits teh same money for the seven months

So, the money he has after the seven months is 7 x + 60  

According to the question,

y =7 x + 60

It shows that the amount after seven months is y.  

please help with the fourth part ​

Answers

Answer:

ofc its p/q

Step-by-step explanation:

EASY BRAINLIEST ANSWER ASAP!!

Complete the ordered pairs, using the given equation:
4x + 3y = 12 (0, ) (-1, ) ( ,10 )

Answers

Answer:

(0, 4) (-1, 16/ 3) (-9/ 2, 10)

Step-by-step explanation:

In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.

1.

4x + 3y = 12 . . . . . .(0, _)

here were given the x variable

finding the other term

4× 0 + 3y = 12

3y = 12

y = 4

therefore the ordered pair is (0, 4)

2.

. . . . . . . (-1, _)

here were given the x variable

4 × -1 + 3y = 12

3y = 12 + 4

3y = 16

y = 16/ 3

ordered pair is (-1, 16/ 3)

3.

. . . . . . . . (_, 10)

here were given the y variable

finding the other term

4x + 3 × 10 = 12

4x + 30 = 12

4x = 12 - 30

4x = -18

dividing both sides by 2

2x = -9

x = -9/ 2

ordered pair is (-9/ 2, 10)

One year josh had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 2.89. ​Also,alice had the lowest ERA of any female pitcher at the school with an ERA of 3.31 . For the​ males, the mean ERA was 5.083 and the standard deviation was 0.672. For the​ females, the mean ERA was 4.032 and the standard deviation was 0.649. Find their respective​ z-scores. Which player had the better year relative to their​ peers, josh or alice ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Answers

Answer:

Josh's ERA had a z-score of -3.26.

Alice's ERA had a z-score of -1.11.

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Josh:

ERA of 2.89, mean of 5.083, standard deviation of 0.672. So

[tex]X = 2.89, \mu = 5.083, \sigma = 0.672[/tex], and the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.89 - 5.083}{0.672}[/tex]

[tex]Z =  -3.26[/tex]

Josh's ERA had a z-score of -3.26.

Alice:

ERA of 3.31, mean of 4.032, standard deviation of 0.649. So

[tex]X = 3.31, \mu = 4.032, \sigma = 0.649[/tex], and the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3.31 - 4.032}{0.649}[/tex]

[tex]Z =  -1.11[/tex]

Alice's ERA had a z-score of -1.11.

Which player had the better year relative to their​ peers, josh or alice ?

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

How many L of a 10% alcohol solution must be mixed with 9l of a 80% alcohol solution to make a 55% solution

Answers

Answer:

Step-by-step explanation:

The best thing to do for these solution/mixture problems is to make a table:

                          #L           *           %alcohol         =            L alcohol

    10% sol.

+   80% sol.                                                                                            

    55% sol.  

In this way, we can keep track of our information AND figure out the equation we need to use to solve it. Notice first, the equation along the top of the table:

#L * %alcohol = L alcohol  This tells us that we are multiplying the #L column times the %alcohol column to get the L alcohol column. Notice second, that there is a + sign to the far left, indicating that we are ADDING rows 1 and 2 together to get the mix. Let's start filling this in. The easy part is the % alcohol column. 10% alcohol has .10 alcohol as a decimal, likewise for the 80% and 55%:

                          #L             *            %alcohol          =         L alcohol

   10% sol.                                             .10

+  80% sol.                                            .80               =                          

   55% sol.                                            .55

Now to fill in the first column. We know that our unknown, from the problem, is the number of Liters, #L in the 10% solution, so that is x, and we also know that we have 9 L of the 80% alcohol. Filling that in:

                             #L            *             %alcohol           =         L alcohol

  10% sol.                x            *                .10

+ 80% sol.               9           *                 .80                                                

  55%                                                      .55

Now look back at the + sign. We are told that we are mixing the 10% with the 80%, so we are adding them together. So let's do that. We will also follow the rule for the table and multiply the first column times the second column to fill in the last column to complete the table:

                          #L           *             %alcohol            =              L alcohol

   10% sol.           x            *                 .10                  =                 .10x

+  80% sol.          9           *                 .80                  =                  7.2          

  55% sol.      (9 + x)         *                 .55                  =         .55x + 4.95

If we add the 2 solutions together to get the new solution in the first column, we will also add the L alcohol in the last column to get our equation:

.10x + 7.2 = .55x + 4.95 and

- .45x = - 2.25 so

x = 5L

We need 5 Liters of the 10% solution if we want to mix that with 9L of 80% solution to get 14 L of 55% solution.

What’s 4 divided by $5.32

Answers

Answer:

0.752

Step-by-step explanation:

Help me ASAP please people

Answers

Answer: 36

Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!

Please help me❤️ I keep getting it wrong

Answers

Answer:

[tex] = { \tt{ \frac{30}{120} + \frac{40}{120} }} \\ = \frac{7}{12} [/tex]

Angle ADB and CD are straight lines.

angle ADC = 5 x angle CDB

Work out the size of angle ADC.

Answers

Answer:

150 degrees

Step-by-step explanation:

5 + 1 = 6

180 : 6 = 30

30 x 5 = 150

22. If y = 1/3(x - 2), express x in terms of y A. X = 3y - 2 B. x = 3y + 2 C. x=y D. x=-Y​

Answers

Answer:

B. x= 3y+2

Step-by-step explanation:

y=⅓x-⅔

⅔+y=⅓x

(⅔÷⅓)+(y÷⅓)=⅓x÷⅓

2+3y=x

Anyone? Ive tried and its not clicking

Answers

Answer:

Hello Bro How Are You....?

here you go. is this correct?

In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?

Answers

Answer:

1:10:3

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

Answer:

3.5

Step-by-step explanation:

From the graph,

x1 = 0

x2 = 4

y1 = 0

y2 = 14

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 14 - 0 ) / ( 4 - 0 )

= 14 / 4

= 7 / 2

= 3.5

Answer:

7/2

Step-by-step explanation:

the slope of a line is the ratio of y/x.

it describes how many units y changes, when x changes a defined number of units.

an increase is indicated by "+", and a decrease by "-".

the point with full integer/natural numbers as coordinates is (4, 14).

that means that when coming from point 0 (0, 0) x increases by 4 units, and y increases by 14 units.

so, the slope of line is 14/4 = 7/2

The number 55 is attached to a two-digit number on its left, and the formed 4-digit number is divisible by 24. What could be the two-digit number? List all options.

Answers

Answer:

the answer will be 44 I think I hoped I helped if not sorry.

Step-by-step explanation:

SOMEONE HELP ME PLEASE

Answers

Answer:

y = 5/2

Step-by-step explanation:

An inverse variation is of the form

xy = k where k is a constant

From the first pair of point

2*5 = k

10 = k

xy = 10

Using the second pair of points

4y = 10

Divide by 5

4y/4 = 10/4

y = 5/2

Answer:

4,3

Step-by-step explanation:

it went up two so i guess the other has to go down two?

Grade improvement and study motivation

Answers

Answer:

yes because we are leraning new things

0.5 + 1/9 show step by step and ill make you brainliest

Answers

Answer: 11/18          

1. Convert 0.5 to a fraction

5/10

5/10 simplifies to 1/2

2. Add 1/2 and 1/9 by finding a common denominator

Common deniminator is 18 (2*9=18, 9*2=18)

1/2=9/18

1/9=2/18

3. Add

9/18+2/18=11/18

4. The answer is 11/18

[tex]\displaystyle\ \Large \boldsymbol 0,5+\frac{1}{9} =\frac{1^{/9}}{2} +\frac{1^{/2}}{9}=\frac{9+2}{18} =\boxed{\frac{11}{18} }[/tex]

10)
Ka
The longer base of a trapezoid has endpoints of (-2,- 4) and (4,0). The shorter base contains the point (3, 1).
(40)
(2)
We an equation of the line that contains the shorter base of the trapezoid. Provide valid mathematical reasoning and calculations to
you derived your equaiton.
of a trapezoid are parallel
Suation and explanation in the space provided.
Math symbols
Relations
Geometry

Answers

Answer:

y = 2·x/3 - 1

Step-by-step explanation:

The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)

The point contained on the shorter base = (3, 1)

The slope of the line representing the longer base, m, is given as follows;

m = (0 - (-4))/(4 - (-2)) = 2/3

The slope of the shorter base = The slope of the longer base = m = 2/3

The equation of the line representing the shorter base in point and slope form is therefore;

y - 1 = (2/3)·(x - 3)

∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1

The equation of the shorter side of the trapezoid is y = 2·x/3 - 1

Solve for 2. Round to the nearest tenth of a degree, if necessary.
U
9.4

T
PLSSSS HELP

Answers

Step-by-step explanation:

sin x0= 7/9.4

sin x0= 0.745

x0 = sin^-1 0.745

x0= 48.2

Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48 x 9

Answers

Answer:

16 y squared minus x squared

Step-by-step explanation:

The other all expressions except 16y²-x² doesn't complete the square and its difference. Then we can check 16y²-x²,

Now take the expression 16y²-x² and we can try to solve it.

We can simplify the terms separately to associate them as perfect squares,

→ 16y² = (4y)² --- (1)

→ x² = (1x)² --- (2)

Now we can take the difference of eq. (1) and eq. (2),

→ 16y²-x²

→ (4y)²-(1x)² --- (3)

Now eq. (3) shows a difference of squares.

Another representation is,

→ (4y - x) (4y + x)

→ 16y²- x²

→ (4y)²- (1x)²

Therefore, the expression 16y²-x² shows a correct difference of squares.

Answer:

its b trust

Step-by-step explanation:

two football tickets and one basketball ticket cost $126.77. one football ticket and 2 basketball tickets cost $128.86 find the cost of each ticket

Answers

Answer:

Cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Step-by-step explanation:

Let

Cost of each football ticket=x

Cost of each basket ball ticket=y

According to question

[tex]2x+y=126.77[/tex]...(1)

[tex]x+2y=128.86[/tex] ....(2)

We have to find  the cost of each ticket.

Equation (1) multiply by 2 then we get

[tex]4x+2y=253.54[/tex]  .....(3)

Now, subtract equation (2) from (3)

[tex]3x=124.68[/tex]

[tex]x=124.68/3[/tex]

[tex]x=41.56[/tex]

Now, using the value of x in equation (2)

[tex]41.56+2y=128.86[/tex]

[tex]2y=128.86-41.56[/tex]

[tex]2y=87.3[/tex]

[tex]y=87.3/2=43.65[/tex]

Hence, cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Which number belongs to the solution set of the equation?
x + 3 = 45
A. 15
B. 48
C. 43
D. 42

Answers

Answer:

D

Step-by-step explana

[tex] \sf \: The \: value \: of \: x \: is \: the \: number \: that \: belongs \: to \: the \: solution \: \\ \sf \: set \: of \: the \: equation. \: So \: we \: need \: to \: find \: x.[/tex]

[tex] \sf \: x + 3 = 45 \\ \sf \: x = 45 - 3 \\ \sf \: x = \underline{42}[/tex]

Answer ⟶ [tex]\boxed{\bf{D.42}}[/tex]

A box contains 6 red, 3 white, 2 green, and 1 black (in total 12) identical balls. What is the least number of balls necessary to take out randomly (without looking) to be sure of getting at least two white balls?

Answers

Answer:

Pick at least 4 balls to be sure that you are getting balls with the same color.

Step-by-step explanation:

Here, you want to know the least number of balls to be taken out of the box to be sure that you have all the three colors represented.

You know there are 12 identical balls, with the least numbers of balls being 1 and 2. Hence, to be able to know you have all the colors of balls represented, you will need to have taken all the less represented ones i.e the 1 and 2 , and this means that the next number of ball which would be taken will confidently confirm that you have taken all the colors since you would have exhausted picking other balls at this point.

So you shall be needing at least 4 balls picked to ensure that you have all the colors represented

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