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 segment PQ, that divide segment PQ into a ratio of 1:3?

Answers

Answer 1

Answer:

(2,1)

Step-by-step explanation:

The coordinate point between two points divided between ratio a and b is expressed as;

(X, Y) = [(ax1+bx2/a+b,ay1+by2/a+b]

Given the coordinate points (-7,-5) and (5,3) divided within the ratio 1:3

X = ax1+bx2/a+b

X = 1(-7)+3(5)/1+3

X = -7+15/4

X = 8/4

X = 3

Similarly

Y = ay1+by2/a+b

Y = 1(-5)+3(3)/1+3

Y = -5+9/4

Y = 4/4

Y = 1

Hence the required coordinate point is (2,1)


Related Questions

5 gallons 2 quarts − 1 gallon 3 quarts = ?

Answers

Answer:

3.75 Us gallon

Step-by-step explanation:

(5 US gallons 2 US quarts) - (1 US gallon 3 US quarts) =

If Damon goes from his office on the 10th floor to a meeting
on the 5th floor, how many floors does he travel and in
which direction?

Answers

Answer:

5 and down

Step-by-step explanation:

3. i will give brainliest if u get it right

Answers

Answer:

choice C) 44

Step-by-step explanation:

it's fuzzy but if I read it correctly,

5Z-16 = 3Z+8

2Z = 24

Z = 12

FG = 3(12) + 8

FG = 44

Please help me (Easy) (Will give brainliest)

Answers

Answer:

D

Step-by-step explanation:

To solve this problem, we need to find the greatest common factor of 8, 12, and 16. Let's list out the factors of each number.

8: 1, 2, 4, 8

12: 1, 2, 3, 4, 6, 12

16: 1, 2, 4, 8, 16

We can see that the greatest factor that all three numbers share is 4, so 4 is the GCF.

A cereal box is 12m tall. the area of the base is 7cm2. what is the volume of the box​

Answers

Answer:

84cm

Step-by-step explanation:

Determine which of the lines, if any, are parallel. Explain.
Line a passes through (-1, - 2) and (1,0).
Line b passes through (4, 2) and (2, – 2).
Line c passes through (0, 2) and (-1,1).
The slopes are

Answers

Answer:

Line A and Line C are parallel

Step-by-step explanation:

Slope Equation: [tex]m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Step 1:  Find the slope of the first line

Line a passes through (-1, -2) and (1, 0).

[tex]m = \frac{(0- (-2))}{(1 - (-1))}[/tex]

[tex]m=\frac{2}{2}[/tex]

[tex]m=1[/tex]

Step 2:  Find the slope of the second line

Line b passes through (4, 2) and (2, -2).

[tex]m = \frac{(-2- 2)}{(2 - 4)}[/tex]

[tex]m = \frac{-4}{-2}[/tex]

[tex]m=2[/tex]

Step 3:  Find the slope of the third line.

Line c passes through (0, 2) and (-1, 1).

[tex]m=\frac{(1-2)}{(-1 - 0)}[/tex]

[tex]m=\frac{-1}{-1}[/tex]

[tex]m=1[/tex]

Answer:  Line A and Line C are parallel

If a translation maps point (3, 2) to (4, 5); or T: (3, 2) → (4, 5), then what is the image of the point (0, 0)?
A. (1,3)
B. (-1,-3)
C. (4,5)​

Answers

Answer:it is a

Step-by-step explanation: i had this in a recent test i took in k-12

Cole has 12.4 meters of string. How
many feet of string is this?

Answers

Answer:

so practically, the only thing that we would do would be doing is converting the meters to feet 12.4 meters convert to feet would be 40.6 ft :)

Answer: To be exact, about 40.68241 feet, you can round to the nearest hundredths place to get 40.67

Martin was given 10 math problems, and he has answered 7 of them. What percent of the problems does Martin have
left to do?
A)
3%
B)
79
30%
D
70

Answers

He has to do 30% more

Quadratic form of f(x)=(x+7)^2

Answers

Answer:

x^2 + 14x + 49

Step-by-step explanation:

Use the distributive property:

(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49



A local florist has roses $35 per dozen.
You only want to buy 1.
How much will it cost you?

Answers

Answer:

$2.92

Step-by-step explanation:

35/12 = 2.91666666667

1 rose = 2.91666666667 = $2.92

Which point shown in the diagram matches the ordered pair (-3, 4)?

a)a

b)b

c)c

d)d

Answers

Answer:

C

Step-by-step explanation:

- means you go to the left on a graph (if the number is in the x position)  or down on a graph (if it's a negative in the y's place) in this case it's a negative 3 in the x's place so we go left 3 times. Then we go up 4 where we will meet the C coordinate.

The answer is c because it’s the only one that has a positive and a negative

find the quotient of 6y²-5y-56 and 2y-7.

help.​

Answers

Answer:

i have made it in above picture

TRIANGLE SIMILARITY! pic included ***

Answers

A.

Each triangle has angles 42,48,90.

HELP ASAP!!! Make t the subject of 5(t − g) = 2t + 7

Answers

Answer:

t=(7+5g)/3

Step-by-step explanation:

5(t-g)=2t+7

5t-5g=2t+7

5t-2t=7+5g

3t=7+5g

divide both side by 3

t=(7+5g)/3

As per linear equation, the variable 't' is subject of 5(t -g) = 2t + 7 as  [tex]t = \frac{5g + 7}{3}[/tex].

What is a linear equation?

"A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

There are linear equations in one variable and linear equations in more than one variable. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

The given linear equation is:

5(t - g) = 2t + 7

We can calculate the value of the variable 't' by keeping it in the left hand side of the equation and then rest of the elements on the right hand side of the equation. Now we get:

⇒ 5t - 5g = 2t + 7

⇒ 5t - 2t = 5g + 7

⇒ 3t = 5g + 7

⇒ [tex]t = \frac{5g + 7}{3}[/tex]

Therefore, the value of the variable 't' in terms of the variable 'g' is  [tex]t = \frac{5g + 7}{3}[/tex].

To learn more about a linear equation here: https://brainly.com/question/11897796

#SPJ2

Write an equation of the line with the given​ slope, m, and​ y-intercept (0,b).
The equation is ______ m=0, b =-5
3.
​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

Answer:?

Step-by-step explanation:

Answer:

ur bad

Step-by-step explanation:

Abbi and her 9 friends want to split up 30 math questions evenly how many Math question each person will solve?

Answers

About 3 math questions each

HELP I NEED HELP ASAP

Answers

I think the answer is 2.5

PLEASE HELPPP
Estimate the solution to the system of equations

Answers

Answer:

It's A

Step-by-step explanation:

just substitute the values

calculates the length of the x-segment in the following figure who can help me pls

Answers

Step-by-step explanation:

[tex] \frac{9}{3} = 3 \\ \frac{15}{3} = 5 \\ x = 5[/tex]

A membership at Gisele’s Gym costs $145 to join and $3 for each visit. A membership at Freddie’s Fitness costs $75 to join and $5 for each visit. Which location has a lower total cost for different numbers of visits? Write each number of possible visits from the box into the correct column in the table to show whether one location has a lower total cost, or the same total cost as the other location.

Answers

Step-by-step explanation:

You can do the equation 145+3v for Gisele’s Gym

For Freddie’s Fitness do the equation 75+5v and put in the number of visits for v

For example, for 33 visits Freddie’s fitness has a lower cost than Gisele’s gym. You could do 3x33 + 145 = ? for Gisele’s gym, and do 5x33 + 75 for Freddie’s Fitness, and then compare which one has a lower cost. But technically I just gave you one answer and shown you what you could do.

I’m not particularly sure if I’m correct but that’s how I would do it, sorry for the long wait, if you have any questions you can ask me :)

WILL GIVE BRAINLIEST TO ANYONE WHO CAN HELP ME!!! PLEASE
Determine the domain and range of the function represented by the graph below.
Select one:
A. D: −4 −4

B. D: −2

C. D: −2≤x≤2; R: −2≤y≤2


D. D: −4

Answers

Answer:

the answer to this question is C. D: −2≤x≤2; R: −2≤y≤2

I have absolutely no idea what this even is and it is a huge grade

Answers

Answer:

50.27 (to 2dp)

Step-by-step explanation:

radius = 4

area of circle = pi * r * r

16 pi is area = 50.2655 units^2 (to 4dp)

Answer:

50.24

Step-by-step explanation:

Area of the circle is [tex]\pi r^{2}[/tex]. If the diameter is 8, then we know that the radius is 4, because the radius is half of the diameter. Then solve. 4 squared is 16, then multiply by 3.14 in place of pi and you will get 50.24. So yes, you are correct, it is 50.24.

Carlos bought 80 feet of rope for $17.60. He needs 20 more feet. If the unit price is the same how much will he pay for the extra 20 feet of rope? Show each step of your solution and explain your reasoning. im in advanced math tho so

Answers

Answer:

Another 20 feet would be +4.40$

so the total would be $22

Step-by-step explanation:

17.60/4 because 80/20 is 4.

CAN ANYONE PLS HELPPP ME!!!!!!!!!! ITS DUE!!

Answers

Answer:

I agree with Mary

Step-by-step explanation:

Cone:

r = 8/2 = 4 ft

h = 16 - 12 = 4 ft

Volume = [tex]\frac{1}{3}\pi r^{2}h\\[/tex]

             [tex]= \frac{1}{3}*3.14*4*4*4\\\\=\frac{200.96}{3}\\\\= 66.98\\\\= 67 cubic feet\\[/tex]

Cylinder:

r = 4 ft

h= 12 ft

Volume = πr²h

              = 3.14*4*4*12

            = 602.88

           = 603 cubic feet

Step-by-step explanation:

the formular for finding the volume( how much it can contain in this instance) of the cone(spout) is

[tex] \frac{1}{3} \times \pi \times {r}^{2} \times l[/tex]

r is the radius of the cone l is the height of the cone π = 22/7

1/3 × 22/7 × 4 × 4 × 4

diameter divide by 2 gives the radius 8/2 = 4

the height of the whole shape - the height of the upper part(cylinder) gives the height of the cone

16 - 12 = 4

volume of spout(cone)=22/21 × 64 =67 cubic feet(f^3)

2 of 5
There are 6 times as many males as females on the maths course at university. What fraction
of the course are male?
Give your answer in its simplest form.

Answers

Answer:

Fraction of females enrolled in the course = 6 / 7

Step-by-step explanation:

Suppose that

Total Number of males = x  

Total Number of females = 6x  

Total Number of Students = 6x + x = 7x  

Now, we have to find the what fraction of the course females candidates constitute.  

Female Fraction = Total Females : Total Students  

Female Fraction = 6x : 7x  

Female Fraction = 6 : 7  

Female Fraction =  6 / 7

So Total number of females enrolled in the course constitute the fraction = 6 / 7

Please helppp i will ly 4ever (with both)

Answers

Answer:

your answers are correct :)

Step-by-step explanation:

Answer:

those are both correct the awnser thar you have put.

the first question asks what is write the sum as a unit fraction. the unit fraction is 1/10 because it is how you show any unti fraction like 1/20 or 1/100. and 1/10+1/10+1/10=3/10 and is using unit fractions.

the second question is correct because the picture shows you that they start out with 3/5 because they are highlighted green. and they cross out 2 1/5 or 2/5. that is why 3/5-2/5=1/5

Hope this helps!

Can anyone help me with this question?

Answers

Answer:

y=-3x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-3(x+1)

y-2=-3x-3

+2    +2

y=-3x-1

Solve the equation for C.
-23=—8c

Answers

Answer:

2.9 = c

Step-by-step explanation:

-23 = -8c

/-8      /-8   (-8 cancels)

2.9 = c

Can someone plz help me with this 1 question!!!

Answers

Answer:

no

Step-by-step explanation:

opposite of

[tex] - \frac{2}{5} [/tex]

is 2/5

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