Consider the triangle A(4,0), B(-2,4), C(0,6)
What will be the equation of the altitude BM?

Answers

Answer 1

Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

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

y = (2/3) x + 16/3   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

Consider The Triangle A(4,0), B(-2,4), C(0,6)What Will Be The Equation Of The Altitude BM?

Related Questions

102÷6 what is the Anser

Answers

Answer:

17 good luck

Step-by-step explanation:

the answer is 17

102/6= 17

Answer:

17

Step-by-step explanation:

it just is

hope this helps, I am writing because I need words

Adam types 65 words per minute, how many words per second can Adam type?

Answers

Answer:1.08 words per second

Step-by-step explanation:

see picture :)

the temperature changed from 5 degrees Celsius 6pm to -2 degrees Celsius at midnight. How much did the temperature decrease?

Answers

7 degrees Celsius because to go from 5 to -2 you would subtract 7 so it’s 7.

need help with #8 please

Answers

Answer: the common ratio is 1:2 because each time you are multiplyin by 1/2 each time .

Step-by-step explanation:

Answer:

5184 is the answer for 3 x 6 x 12 x 24

Step-by-step explanation:

At the begining of last year, there were 368 students at the elementary school.By the beginning of this year,72 of those students had moved.About how many students started the school this year?

Answers

Answer:

296

Step-by-step explanation:

368-72

You subtract in order to find out how many students started the school this year

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

Answers

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex]     [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]    [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information:

[tex]\displaystyle cos56=\frac{a}{13}[/tex]

Isolate a by multiplying both sides by 13:

[tex]13\displaystyle cos56=a[/tex]

Solve using a calculator:

[tex]a=7.3[/tex]

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]

In this case, we will use the inverse sine ratio:

[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]

Solve using a calculator:

[tex]\displaystyle \theta=39[/tex]

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

Lara is creating potpourri bowls using 4 bags of shredded bark and 10 bags of flower petals.
If she wants to make all the potpourri bowls identical, containing the same number of bags of
shredded bark and the same number of bags of flower petals, what is the greatest number of
potpourri bowls Lara can create?

Answers

Answer:

2

Step-by-step explanation:

16: 16, 8,4,2,1

10: 10,5,2,1

The GCF is 2 because 16 bags of shredded bark can be split with 8 bags of shredded bark, and 10 bags of flower petals could be split to 2 bowls with 5 bags each.

What is the value of x in the equation ? (In the picture I included)

Answers

Answer:

X = 8⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

Step-by-step explanation:

[tex]13x-\dfrac{1}{2}(4x + 50) = 8x - 1\\\\13x -\dfrac{1}{2}*4x - \dfrac{1}{2}*50 = 8x - 1[/tex]

13x  - 2x  - 25 = 8x - 1

11x - 25 = 8x - 1

11x = 8x - 1 + 25

11x = 8x + 24

11x- 8x = 24

3x = 24

x = 24/3

x = 8

i have glass in my hand 4 months after a car accident what should i do just continue to wait for it to come out?

Answers

Answer:

hello! im taking medical school rn to be a paramedic and what i would do is either get a pair of tweezers and get it out or go to your local hospital to get it quickly removed!

Step-by-step explanation:

No you should make sure it’s not infected and put some rubbing alcohol or some infection stuff on it then you should call the doctor.

maths is not my thing ​

Answers

Answer:

If you are looking for the number of faces/sides….

Step-by-step explanation:

1:6

2: 5

3: 8

4:5

5:5

6:5

Hope this helps

Dont forget to smash that heart at the bottom <3

Have a great day,you’re amazing !

Plz Mark Brainliest

Lmk if its right I’m not sure whether number 2 is 4 or 5

I haven’t done shapes in a while .-.

What usually happens to main characters by the end of the story?
A. They fall in love.
B. They are defeated by the antagonist.
C. They grow, change, or learn an important lesson.
D. They find treasure beyond their wildest dreams.

Answers

Here's your answer:

C. They grow, change, or learn an important lesson

You get this answer because the MC (Main Character) goes on a journey or adventure to seek something and they will learn new things on their way and grow up from who they used to be.

I hope this helps you out! ^-^

Yyyyyyyyyyyyyyabcdhds

.563 rounded to nearest hundredth

Answers

Answer:

.56

Step-by-step explanation:

.56
Because 3 is less than 5

6g = -86; g= -16
Need help

Answers

Answer:

6g = -86

Divide each term in 6 g = − 86 by 6 and simplify.

Exact Form: g = -43/3

Decimal Form: g = −14.¯3

Mixed Number Form:

g = −14 1/3

—————————————————————

g= -16

Vertical line at x = −16

Multiply
8.12.30.3

Please help me

Answers

Answer:

8640

Step-by-step explanation:

he owner of a coffee shop collected receipts from all orders placed during a one-hour period. For each receipt, the owner recorded the payment method used and if the receipt was $25 or less or more than $25. The following table shows the requencies of the results.
Payment
Cash Credit/Debit Phone App Total Receipt of $25 or less 15 25 17
Receipt of more than $25 23 37 28
Total 145
What is the probability that a receipt that is to be selected at random from those collected during the one-hour period was
paid using a phone app, given that the receipt totaled more than $25?
Enter your answer as a value between 0 and 1 rounded to two decimal places. Points A,

Answers

Answer:

56

Step-by-step explanation:

The probability of selecting a receipt of more than $25 is 0.33.

What is a probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

For the given situation,

The amount on receipts in $, S= { 15,25,17,23,37,28 }

⇒ [tex]n(s) = 6[/tex]

The amounts are grouped as more than $25 and less than $25.

The event is the amount on receipt more than $25, [tex]e = (28,37)[/tex]

⇒ [tex]n(e)=2[/tex]

The formula to find the probability of an event,

[tex]P(e)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(e)= \frac{2}{6}[/tex]

⇒ [tex]P(e)=\frac{1}{3}[/tex]

⇒ [tex]P(e)=0.33[/tex]

Hence we can conclude that the probability of selecting the receipt of more than $25 is 0.33.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ2

3 friends split the cost of renting a boat. Each person rented a life preserver. The cost of the boat was $120. The total cost for the boat and life preservers was $135 write and solve an equation to find the cost of the life preservers

Answers

Answer:

$5

Step-by-step explanation:

$135-$120=15

15 divided by the amount of people, which is 3, equals $5. It costs $5 for a life preserver.

Select all of the following statements that are true.

- + 0 = -
- - = -
- = +
- + = -
- + = +
- + = 0

Answers

Answer:

-+=- is true

Step-by-step explanation:

because - and+ are equal to -

but - and- are eqial to +

Which expression is equivalent to 0.7 x 0.23?
OA (7x is) (23 x 1.)
ов.
(7x 10 ) x (23 ×
100
O C.
c. (71) * (23 x *)
O D.
D. (7* *) * (23 x )
What is it

Answers

(7 × 10⁻¹) × (23 × 10⁻²)

Step-by-step explanation:

0.7 × 0.23

= (7 × 10⁻¹) × (23 × 10⁻²)

PLEASE HELP ITS MATH THANK YOUUUU

Answers

The answer is 5.6 miles!

Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounces of milk does Monica use?
(A) 0.5 fluid oz.
(B) 1 fluid oz.
(C) 1.5 fluid oz.
(D) 3 fluid oz.
(Also no fractions included and please help meh know please)

Answers

Answer:

b b b b b b b b b b b b b b b b b b b b b b

When you divide a whole number by a decimal less than 1,
the quotient is greater than the whole number. Why? tar

Answers

9514 1404 393

Explanation:

We assume all the numbers considered here are positive.

Dividing by a number is the same as multiplying by its reciprocal. A fraction less than 1 can be represented as the ratio m/n, where m < n. The reciprocal of this fraction is n/m, where n > m. That is, the reciprocal of a fraction less than 1 is a number greater than 1.

When you divide by a number less than 1, you effectively multiply by a number greater than 1. That is why the quotient is greater than the original dividend.


The box-and-whisker plot represents the number of tickets
sold for each show of a musical in the first month.
Ticket Sales for Musical
100 120 140 160 180 200 220 240
what is the range?

Answers

Answer:

345

Step-by-step explanation:

................................................................................................
................................................

Answers

?????????????????????

Answer:

UMMMMMMMM>....<

Step-by-step explanation:

Evaluate the expression.
2
-3(–15 – 2 (-9))
-
What is the value of the expression?
Enter your answer in the box.

Answers

Answer:

9

Step-by-step explanation:

-3(-15-2(-9))^2

=-3(-15+15)^2

=-3^2

=9

sorry, it just seems easy for me.

but tell me if you need more profound explanations. <:D

the pic is for a other question:

-3(-15-2(-9))²= -3(-15+18)²= -3(3)²= -3×9= -27

please mark this answer as brainlist

What is the value of the expression 4(80+ b) – 12, where b = 20?
-
328
3.352
c388
D. 412


Answers

4(80+b)-12 b=20= 4(80+20)-12= 4(100)-12= 400-12= 388option c is the right answer

please mark this answer as brainlist

3 In which of these pairs of numbers would both numbers round to 6.23 ? F 6.232 and 6.236 G 6.231 and 6.233 H 6.229 and 6.239 J 6.222 and 6.238 GO ​

Answers

9514 1404 393

Answer:

  G 6.231 and 6.233

Step-by-step explanation:

F 6.232 and 6.236 rounds to 6.23, 6.24

G 6.231 and 6.233 rounds to 6.23, 6.23

H 6.229 and 6.239 rounds to 6.23, 6.24

J 6.222 and 6.238 rounds to 6.22, 6.24

_____

One way to determine the rounded value is to add 0.005 to the number, then drop all digits to the right of the hundredths place.

Examples:

  6.222 +0.005 = 6.227 ⇒ 6.22

  6.238 +0.005 = 6.243 ⇒ 6.24

Find the slope of the line
Need help, don’t understand

Answers

Answer: 3/2

Step-by-step explanation:

1. Slope is rise over run (difference in Y over the difference in X)

2 Look for a point where the line intersect both x and y  

        (0,0) and (2,3)

3.Starting at (0,0) count up until you reach 3. That is the rise. Now

        count over until you reach the 2. That is the run.

4. From 0 to 3 is 3 Rise

   From 0 to 2 is 2 Run

5. Slope is Rise over Run: 3/2

Which expressions are equivalent to?

Answers

Answer:

-6(b+2) +8

= -6b -12 +8

= -6b -4

Step-by-step explanation:

HELP LAST ATTEMPT !?!!!!!

Answers

Answer:

x=31

Step-by-step explanation:

2x+1=63 [Vertically opposite angles]

2x=63-1

x=62/2

x=31

how to solve y=-10x+3?

Answers

9514 1404 393

Answer:

  top down: 13, 3, -7, -47

Step-by-step explanation:

You evaluate any equation by putting the numbers in place of the corresponding variables and following the rules of arithmetic.

For x = -1, put -1 where x is and do the math.

  y = -10(-1) +3 = 10 +3 = 13

For x = 0, put 0 where x is and do the math.

  y = -10(0) +3 = 0 +3 = 3

For x = 1, put 1 where x is and do the math.

  y = -10(1) +3 = -10 +3 = -7

For x = 5, put 5 where x is and do the math.

  y = -10(5) +3 = -50 +3 = -47

The table values are 13, 3, -7, -47.

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