All categories

1 year ago

Find the point that is 3/4 of the distance P (-6,-5) to the point Q (2,7)

Mathematics

1 answer:

Zarrin [17]1 year ago

8 0

Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:

M - P = 3/4(Q - P)

For the x-coordinate, we have that:

x + 6 = 3/4(2 + 6)

x + 6 = 6

x = 0.

For the y-coordinate, we have that:

y + 5 = 3/4(7 + 5)

y + 5 = 9.

y = 4.

The coordinates are (0,4).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

You might be interested in

Your school is planning a field trip to the zoo. There are two different bus companies that the school can use.

8090 [49]

Answer:

4 students can go to the first one then 2 students can go the second bus

Step-by-step explanation:

$39×4= 156

$79×2=158

5 0

4 years ago

Can someone tell me how do I solve this. how is the result 2.40

liubo4ka [24]

Step-by-step explanation:

<u>Properties used</u>

logₐ a = 1
log aᵇ = b log a
log ab = log a + log b

See the steps below

- log (4*10⁻³) =
- (log 4 + log 10⁻³) = (log 4 ≈ 0.6 rounded)
- (0.6 - 3*log 10) =
- (0.6 - 3*1) =
- (0.6 - 3) =
- (- 2.4) =
2.4

6 0

2 years ago

The first term of an arithmetic sequence is 8. The 7th term is 38. What is the common difference?

Sever21 [200]

Answer:

Step-by-stepidf explanation:

7 0

3 years ago

Suppose a basketball player has made 223223 out of 406406 free throws. If the player makes the next 22 free throws, I will pay y

makkiz [27]

Answer:

Expected value E = $0.45

Step-by-step explanation:

Expected value E = P×w - P'×l

Where;

P = probability of making the next 2 throw.

P = 223/406 × 223/406 = 0.3017

P' = probability of not making a throw.

P' = 1 - P = 1 - 0.3017

P' = 0.6983

w = expected win = $20

l = Expected loss = $8

Substituting the values;

E = 0.3017 × $20 - 0.6983 × $8

E = $0.4476

Expected value E = $0.45

5 0

3 years ago

Me. Ellis is a teacher who tutors after school. Of the students he tutors, 30% need help in computer science and 70% need assist

Anna11 [10]

Answer: There are 82.5% after school students who are enrolled in his classes.

Step-by-step explanation:

Let the total number of students be 100

Percentage of students who need help in computer science = 30%

So, number of students who need help in computer science = 30

Percentage of students who need help in maths = 70%

So, number of students who need assistance in maths = 70

Of the students who need help,

40% are enrolled in Mr. Ellis's class during the school day,

So, it means 60% are enrolled in his class after the school day.

Number of students who are enrolled in his class after the school day = 60

Number of students who need help in Maths is given by

$\frac{70}{100}\times 60=42$

Of the students that need help in maths, percent of students are enrolled in his class during the day = 25%

So, number of students who need help in maths and enrolled in his class after school hours

$\frac{75}{100}\times 42=31.5$

Number of students who need help in computer science and enrolled in his class after school hours

$\frac{30}{100}\times 60=18$

Therefore, there are $31.5+18=49.5$ students who joined his class after school hours,

Percentage of the after students who are enrolled in Mr. Ellis's classes is given by

$\frac{49.5}{60}\times 100=82.5\%$

Hence, there are 82.5% after school students who are enrolled in his classes.

6 0

4 years ago