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2 years ago

13

Line segment AB has endpoints A(1,4) and B(6,2). Find the coordinates of the point that divides the line segment directed from A

to B in the ratio of 2:3

2 answers:

Sladkaya [172]2 years ago

7 0

Answer:

$(3,3\frac{1}{5})$

Step-by-step explanation:

We use the formula;

$(\frac{mx_2+nx_1}{2},\frac{my_2+ny_1}{2})$

where m:n=2:3 and $x_1=1,x_2=6,y_1=4,y_2=2$

We substitute these values to get;

$(\frac{2(6)+3(1)}{2+3},\frac{2(2)+3(4)}{2+3})$

We simplify to get:

$(\frac{15}{5},\frac{16}{5})$

$(3,3\frac{1}{5})$

sergeinik [125]2 years ago

6 0

Answer:

(3,16/5)

Step-by-step explanation:

(2)(6)+(3)(1)/(2+3),(2)(2)+(3)(4)/(2+3)=3,16/5

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Find the value of a and of b for which<br>(a) the solution of x2 + ax < b is<br>-2<x < 4

KengaRu [80]

Answer: $a = -2$

$b = 8$

Step-by-step explanation:

Given :

$x^{2} +ax$

re - writing the equation , we have

$x^{2} +ax-b$

we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.

The formula for finding the quadratic equation when the roots are known is :

$x^{2}$ - sum of roots(x) + product of root = 0

sum of roots = -2 + 4 = 2

product of roots = -2 x 4 = -8

substituting into the formula , we have:

$x^{2} -2x-8=0$ , which could be written in inequality form as

$x^{2} -2x-8$

comparing with $x^{2} +ax-b$ , it means that :

$a = -2$

$b = 8$

3 0

2 years ago

Write a paragraph comparing the two classes' semester grades. Be sure to compare the extremes, the quartiles, the medians, and t

NISA [10]

Answer:

Class second have higher score and have greater spread.

Step-by-step explanation:

For first box plot

$\text{Minimum value }= 53$

$Q_1=62$

$Median=80$

$Q_3=86$

$\text{Maximum value }= 89$

$Range=Maximum-Minimum=89-53=36$

$IQR=Q_3-Q-1=86-62=24$

For second box plot

$\text{Minimum value }= 56$

$Q_1=62$

$Median=74$

$Q_3=89$

$\text{Maximum value }= 96$

$Range=Maximum-Minimum=96-56=40$

$IQR=Q_3-Q-1=89-62=27$

First class has greater minimum value, it means first class has lower grades.

First quartile of both classes are same, it means equal number students in both classes have less than 62 marks.

First class has greater median.

second class has greater third quartile.

Second class has greater Maximum value. It means second class have higher score than first class.

Second class has greater range. It means the data of second class has greater spread.

Second class has greater inter quartile range. It means the data of second class has greater spread.

Therefore, the class second have higher score and have greater spread.

5 0

3 years ago

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!

aalyn [17]

Answer: C) Next year, 7 out of every 60 students will be taking music.

Step-by-step explanation:

A is wrong because it is an opinion which a table cannot prove.

B is wrong because it says "A representative sample of 60 students) while the answer incorrectly says 30.

C is correct because on the table it says 7 people are taking music and correctly identifies that it's out of 60 students.

D is incorrect for the same reason B is incorrect except this time it says 120.

8 0

3 years ago

12x0.08 help me plss!!!

mel-nik [20]

Answer:

0.96

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

If you have fifty-four pieces of candy that need to be split up evenly

Sergeeva-Olga [200]

"You" and your "5 friends" means that there are 6 people total.

All we need to do is divide.

54 / 6 = 9

Therefore, each person gets 9 pieces of candy.

Best of Luck!

5 0

3 years ago