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4 years ago

What are the coordinates of point B on Line AC such that AB is 3 times as long as BC? (Screenshots supplied to clarify)

Mathematics

2 answers:

algol [13]4 years ago

6 0

Answer:

B(3.5, 0.5)

Step-by-step explanation:

Given:

A(5,5), Xa=5, Ya=5

C(3,-1), Xc=3, Yc=-1

To find point B, we can use the partition rule, where AB = 3BC, so AB occupies k=3/4 of the distance AC.

B(x,y) = ((1-k)Xa+kXc, (1-k)Ya+kYc)

=(Xa/4+3Xc/4, Ya/4+3Yc/4), substitute values

=(5/4+3*3/4, 5/4+3*(-1)/4)

=(14/4,2/4)

=(3.5, 0.5)

ki77a [65]4 years ago

4 0

Answer:

(3.5, 0.5) or A

Step-by-step explanation:

Got it right

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PLEASE SHOW FULL SOLUTIONS !!!!! WILL MARK BRAINLIEST FOR THE BEST ANSWER. THANK YOU AND GOD BLESS

yanalaym [24]

Answer:

System is given below

Step-by-step explanation:

Let (applicable to all three lines below)
Hard candy = x kg with price $1.60/kg
Gummy worms = y kg with price $2.20/kg
Total weight = 50 kg with mixed price $1.75/kg

Required equations:

x + y = 50 total weight
1.60x + 2.20y = 50*1.75 total price

=========================================

Note. It says don't solve but the solution below for those who is interested to know the answer.

Simplify the second equation and solve by substitution x = 50 - y:

1.6(50 - y) + 2.2y = 87.5
80 - 1.6y +2.2y = 87.5
0.6y = 7.5
y = 7.5/0.6
y = 12.5

Find the value of x:

x = 50 - 12.5 = 37.5

Hard candy = 37.5 kg and gummy worms = 12.5 kg

7 0

3 years ago

Look at the quadratic equation below. x2 - 10x + 16 = -5 What is this quadratic equation written in standard form? A.5x2 + 10x -

ollegr [7]

Ax^2+bx+c=0 is the standard form, so we add 5 to both sides to get

1*x^2+(-10)x+21=0

7 0

3 years ago

answer as a mixed number if possible. A bowl of cereal had 3 3/6 grams of sugar in it. If Victor ate 2 bowl8a week, how many gra

GrogVix [38]

7 grams of sugar

<h2>Explanation:</h2>

________________________________________

I'll assume your answer is as follows:

A bowl of cereal had 3 3/6 grams of sugar in it. If Victor ate 2 bowl a week, how many grams of sugar would he have eaten?

________________________________________

If so, then we know that:

A bowl of cereal had 3 3/6 grams of sugar in it.

Victor ate 2 bowl a week

In other words, the total of sugar he ate can be calculated as:

$3\frac{3}{6}\times2 \\ \\ Converting \ mixed \ fraction \ into \ improper \ fraction: \\ \\ =(3+\frac{3}{6})\times2 \\ \\ =(\frac{3(6)+3}{6})\times 2 \\ \\ =(\frac{21}{6})\times 2 \\ \\ =(\frac{7}{2})\times 2 \\ \\ =7$

So he'd have eaten 7 grams of sugar

<h2>Learn more:</h2>

Mixed numbers: brainly.com/question/383603

#LearnWithBrainly

7 0

4 years ago

Solve 732,178 + 167 - 542,137

ikadub [295]

Ok I got 190,208
I hope this helps

6 0

3 years ago

Read 2 more answers

A university is applying classification methods in order to identify alumni who may be interested in donating money. The univers

HACTEHA [7]

The accuracy in the research done by university is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.

Given sample size of 58205 and proportion of people donated 576. Cutoff is 0.5.

Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.

TP=total people donated in sample, TN=total number of people,FP=donation,FN=No donation

Accuracy is calculated as under:

=(TP+TN)/(TP+TN+FP+FN)

=(268+23439)/(238+23439+5375+20)

=23707/29102

=0.81

Accuracy=0.81

Sensitivity is calculated as under:

=TP/(TP+FN)

=268/(268+20)

=268/288

=0.93

Precision is calculated as under:

=TP/(TP+FP)

=268/(268+5375)

=268/5643

=0.047

Their values are the probabilities in itself.

Hence accuracy is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.

Learn more about probability at brainly.com/question/24756209

#SPJ4

7 0

2 years ago