*two question problem *show your work and explain please !

The endpoints of directed line segment PQ have coordinates of P(-7, -5) and Q(5,3). What are the coordinates of point A, on PQ,t

Kamila [148]

Answer:

Therefore the co-ordinate of the point A is (-4,-3)

Step-by-step explanation:

If A(x₁,y₁) and B(x₂,y₂) is divided by a point in ration m:n internally.

Then the co-ordinate of the point is $(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_2}{m+n})$ .

Given two points are P(-7,-5) and Q(5,3).

A point A on PQ, that divides PQ into a ratio of 1:3.

Since the point A lies on the PQ.

Therefore it divides the line segment PQ internally.

Here x₁= -7,y₁= -5 , x₂= 5,y₂ =3, m=1,n=3

Therefore the co-ordinate of the point A is

$(\frac{5.1+(-7).3}{1+3},\frac{3.1+(-5).3}{1+3})$

$=(\frac{-16}{4},\frac{-12}{4})$

=(-4,-3)

6 0

3 years ago

45% of the beads in a box are blue. if there are 36 blue beads in the box, how many beads are there altogether ?

Pie

36÷0.45=80
There are 80 beads altogether

5 0

3 years ago

Read 2 more answers

A salesperson's commission rate is 5 %. What is the commission from the sale of 32,000 worth of furnaces? Use pencil and pape

Len [333]

Answer: Answer:

Its sad that you have to uses this app to get the right answers.

Have you ever stopped to ponder if someone is trying to scam/Catfish you?

Also I bet that you haven't even tried reading this question.

I know that you can do it yourself!

If not then, Sorry to hear.

Also

The answer is:

Do it yourself, Because if you try..You'll have a better answer then I ever could. Or anyone TBH

6 0

3 years ago

We form a committee of 8 people, to be chosen from 15 women and 12 men. (a) How many possible committee can be formed

eimsori [14]

Using the combination formula, it is found that 2,220,075 committees can be formed.

The order in which the people are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:

$C_{27,8} = \frac{27!}{8!19!} = 2220075$

2,220,075 committees can be formed.

To learn more about the combination formula, you can take a look at brainly.com/question/25821700

3 0

2 years ago

Determine the value of x for the following isosceles triangle.

andrew11 [14]

Given :

▪︎This triangle is an isosceles triangle.

▪︎Measure of one of its legs = 6 inches

▪︎Measure of its equivalent leg $= \tt \frac{x}{9}$ inches

▪︎Measure of its base $= \tt \frac{5}{2}$ inches

Which means :

$=\tt 6 = \frac{x}{9}$

$=\tt \frac{6}{1} = \frac{x}{9}$

$=\tt 6 \times 9 = x \times 1$

$\hookrightarrow\color{plum}\tt 54 = x$

Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :

$=\tt 6 = \frac{54}{9}$

$= \tt6 = 6$

Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.

▪︎Therefore, the value of <u>x = 54</u>

8 0

2 years ago