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

Part c Katie started with $40. How much money did she have left after purchasing the supplies? Enter your answer in the box provided.​

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Answer:

gotta give me more details here Katie

The diameter of a pizza is 45 inches. What is the area of where we would be able to put all ingredients
on top of the pizza?

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Answer:

the area of the pizza is 1590.43 in. :)

Step-by-step explanation:

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Answer is 160 units squared

Which of the following fractions is closest to 0? 1 point 05/12 0 2/3 O 5/6 O 3/4​

Answers

Answer:

I think 2/3

Step-by-step explanation:

sorry if I'm wrong

Answer:

5/12

Step-by-step explanation:

All the others are more than 1/2. This is the only one that is less than half.

*giving brainiest to the first correct answer. Write the equation of the line graphed.

Answers

Answer:

The equation of the line is x = 2

Answer:

x = 2

Step-by-step explanation:

When you are given a straight line whether it's horizontal or vertical on a graph and is told to write it as an equation,

it can be a horizontal line, y = the number the line is on from the y-axis

or a vertical line, x = the number the line is on from the x-axis.

In this case you have a vertical line so the equation would be

x = the number the line is on from the x-axis, which is 2 so your final answer would be

x = 2

for the student store, sienna bought six packs of apple juice at $3.20 per pack. she sells each juice box at $.75 each. if she sells all the juice boxes in one day, how much profit will she get from selling these apple juice?

Answers

Answer:

Her profit would be $1.30

$1.32 because she paid .53 each ($3.20) and sold them for .75 each . Making .22 per box

4-(6x1000)+99-490=
i need u guys help and thank you

Answers

Answer:

-6387

Step-by-step explanation:

I have a feeling you're just giving away points :)

help please help please

Answers

Step-by-step explanation:

first choice

ggiteesxdgcJ gray y atcha

In ΔQRS, s = 980 cm, r = 300 cm and ∠R=34°. Find all possible values of ∠S, to the nearest 10th of a degree.

Answers

Answer:

S=sin −1 (1.8266968)=ERROR

No possible triangles

Step-by-step explanation:

WILL MARK WILL MARK BRAINLEST
A large traffic cone stands 28 inches in height and has a volume of 732.7 cubic inches. What is the diameter of the base of the cone? Use 3.14 for π. Show your work.

Answers

Answer:

d=10.0002

Step-by-step explanation:

Given That:

Height=h=28 inches

Volume=V=732.7 cubic inches

Required:

Diameter of the base of the cone=d=?

Solution:

the formula for the volume of a cone is

re-arranging the terms to get the radius (r)

putting values, we get

to find the diameter we know that diameter is double of the radius so

d=2r

d-2(2.0051)

d=10.0002

the winner of a raffle will receive a 21-foot outboard boat. if 2000 raffle tickets were sold and you purchased 50 tickets, what are the odds against your winning boat?

Answers

i honestly have no idea

A skateboarder rides by my office every 12 minutes, and a cyclist rides by every 8 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?
96 minutes
72 minutes
48 minutes
24 minutes​

Answers

Answer:

48 Minutes

Step-by-step explanation:

find a common factor 48:

4*12

6*8

so the answer is 48.

Answer:

24 minutes

Step-by-step explanation:

The Lowest Common Multiple of 12 and 8 is 24:

1. List all prime factors of 12 and 8

2. Cross out any recurring numbers

3. multiple all remaining numbers with the crossed out ones used once

5.6(x - 3) = -0.4x + 19.2

Answers

Answer:

Step-by-step explanation:

Answer:

this is the answer hope it helps

Use the information provided to write the standard form equation of a
circle.
Center :(3,-2)
Point on Circle: (-3,-16)

Answers

Use this link to find your answer

https://lalinks.org/linksweb

i neeed help please i did not understand it

Answers

Answer:

[tex]15.71cm[/tex]

Step-by-step explanation:

[tex]10 \: \: years = 3.142 \\ 50 \: years = x \\ \\ 10 = 3.142 \\ 50 = x \\ cross \: \: multiply \\ 10x = 50 \times 3.142 \\ 10x = 157.1 \\ x = 15.71cm[/tex]

hope this helps you

can I have the brainliest please?

Average mido Find the mean, median, and range of the following data items: 74, 75, 78, 84,94 18 20 84 78 81 82.5 Mean Median Range​

Answers

Answer:

18: mean = 70.5

median = 76.5

range = 76

20:

mean = 70.83

median = 76.5

range = 76

84:

mean = 81.5

median = 79.5

range = 20

78:

mean = 80.5

median = 81

range = 20

81:

mean = 81

median = 80.25

range = 20

82.5:

mean = 81.5

median = 80.25

range = 20

Step-by-step explanation:

mean = average = sum of numbers / amount of numbers present

median = middle number (arranged least to greatest)

range = largest number - smallest number

Can anyone help me with my homework

Answers

The first coordinate is located when you move left 1 and up 4. This is because the first coordinate moves according to x-axis and the second coordinate to the y-axis. Think as if (-1,4) is (x, y) the -1 is the x and 4 the y. We're to always start the center or origin which is zero. Repeat the same steps for the rest of the coordinates.

Step-by-step explanation:

every coordinate you are going to make a point for example the first which is (-1,4) the first number goes through the x-axis left to right if the number is negative it goes to the left so the -1 on the horizontal line, then the 4 is y-axis vertical line up and down, so take that point on -1 then go up 4

What is the height (h) of the prism?
3ft
6ft

Answers

6ft is the answer!! hope this helps :-)

Answer:

6ft

Step-by-step explanation:

The height is 6ft, because the 3 foot measurements are the width of the prism.

PLS HELP WILL CHOOSE BRAINLY NO SENDING LINKS! Which conditions will result in the construction of a unique triangle? Select TWO answer choices.

Answers

Answer:

not sure about second, but one is the 30, 60, 90 angle triangle. That one i'm 100 percent sure of (30, 60, 90).

Step-by-step explanation:

Aaron has a pencil that is
foot long.
foot long. He has a pen that
is 0.7 foot long. Measured in
feet, how much longer is Aaron's
pencil than pen?

Answers

Answer: 0.1 ft longer

4/5 = 0.8

0.8 - 0.7 = 0.1

In a sale the normal price of a book is reduced by 30% what singles number must be i multiple by to reduce something by 30%


I need help

Answers

Step-by-step explanation:

This means the price of the book will decrease by 100%-30%=70%

70% decrease in x = 100% of x - 70% of x = 1x - 0.7x = (1 - 0.7)x = 0.3x So 0.3x represents a 70% decrease in x.

Notice that this multiplier .3 is the same as (30% of x).

the answer is 0.3.

Help plsssss What is x

Answers

Answer:

X = 8

Step-by-step explanation:

Kindly check the image below for the relationship between two segments in a circle that intersect

A * B = C * D

This relationship is important to understand when trying to solve for x in this type of problem

Now imagine that A = 15 B = x C = 10 and D = 12

Now we want to create an equation

( Using the relationship )

15 * x = 12 * 10

Now we solve for x using basic algebra

12 * 10 = 120

15x = 120

* divide each side by 15 *

15x/15 = x

120 / 15 = 8

we're left with x = 8

Suppose y varies directly as x. If y = 12 when x = 4:
Write the general variation equation
Find the constant of variation, k.
Write a variation equation relating x and y using the value of k found in b).
Find y when x = -5.
у

Answers

Answer:

y = -15

Step-by-step explanation:

Given that,

y varies directly as x i.e.

[tex]y\propto x\\\\y=kx[/tex]

Where

k is the constant of variation.

Put y = 12 and x = 4 to find k.

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{12}{4}\\\\k=3[/tex]

Now put k = 3 and x = -5 and finding the value of y.

[tex]y=3\times -5\\\\y=-15[/tex]

So, the value of y is equal to -15.

According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or younger have a food allergy. A day care program has capacity for 8 children in that age range. Assume that the children attending the day care program are independent. Let the random variable X be the number of children in this day care who have a food allergy. What is the probability that one of the eight children has a food allergy

Answers

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that [tex]p = 0.07[/tex]

A day care program has capacity for 8 children in that age range.

This means that [tex]n = 8[/tex]

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337[/tex]

0.337 = 33.7% probability that one of the eight children has a food allergy.

What is the proper order of organization from simplest to most complex.

A. rib bone, epithelial cell, heart, adipose tissue
B. cardiac muscle tissue, muscle cell, heart, muscular system
C. lung cell, alveoli, lung, respiratory system
D. neuron, nervous tissue, nervous system, brain

HELP ME ASAP

Answers

Answer:

A. 2,4,1,3

B. 2,1,3,4

C. 2,1,3,4

D. 1,2,4,3

Step-by-step explanation:

its always cell the simplest among the choices then tissue which is comprised of cells then organs which comprised of tissues and lastly the systems in our body that is comprised of organs

-4r + 1 = -2r - 17

a. 9
b. 11
c. -18
d. -16

Answers

The answer would be 9

2. Use the distributive property to write an expression that is equivalent to 12 + 4x.

Answers

Answer:

4(x+3)

Step-by-step explanation:

So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.

So lets think about it, what goes into both 12 and 4?

2 does, but is that the greatest common factor? No.

What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.

So, what do we get when we take 4 from 4x? We get 1x, or just x.

How about 12? Well, when we take 4 from 12, we get 3.

Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.

Remember that the greatest common factor, the one you took from the other numbers, is what goes first:

4()

Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.

Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:

4(x+3)

This is your expression.

Hope this helps! ;)

9514 1404 393

Answer:

  4(3 +x)

Step-by-step explanation:

The greatest common factor is 4, so any divisor of that can be factored out:

  12 +4x = 2(6 +2x) = 4(3 +x)

Don’t understand could I get some help pls :)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Parallel lines.

We must first understand that, Parallel Lines always have a same Slope, hence the 'm' value in y=mx+c equation will same, here it is '1/2' in the above equation,

so the points here are (-6,-17)

==>

(y-(-17)) = m(x-(-6))

==>

here m = 1/2 ,hence

y+17 = 1/2(x+6)

==> y+17 = 1/2(x) + 3

==> y = 1/2(x) + 3 - 17

==> y = 1/2(x) - 14

hence the Option 4.) is the correct answer!!

I need help with this!!

Answers

Answer:

c

Step-by-step explanation:

e+ 1.2= 2 please help!

Answers

Answer:

[tex]e=0.8[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}1.2\mathrm{\:from\:both\:sides}[/tex]

[tex]e+1.2-1.2=2-1.2[/tex]

[tex]e=0.8[/tex]

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