Answers
Given:
Endpoints of a line segment EF are E(-3,8) and F(7,-7).
Point P divides the segment EF such that EP:PF = 2:3.
To find:
The coordinates of the point P.
Solution:
Section formula: If a point divides a line segment in m:n, then the coordinates of the points are:
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
It is given that EP:PF = 2:3. It means the point P divides the segment EF in 2:3.
Using section formula, we get
[tex]P=\left(\dfrac{2(7)+3(-3)}{2+3},\dfrac{2(-7)+3(8)}{2+3}\right)[/tex]
[tex]P=\left(\dfrac{14-9}{5},\dfrac{-14+24}{5}\right)[/tex]
[tex]P=\left(\dfrac{5}{5},\dfrac{10}{5}\right)[/tex]
[tex]P=\left(1,2\right)[/tex]
Therefore, the coordinates of the point P are (1,2).
Related Questions
Darius deposits $300 into a new savings account. The account earns simple interest at a rate of 2.18% annually. How much money does Darius have in his account at the end of the first year?
Answers
Find the value of a, b, and c.
x2 – 5x – 14 = 0
Helpppp
Answers
Answer:
a = 1
b = -5
c = -14
Step-by-step explanation:
x² - 5x - 14 = 0
where,
a = 1
b = -5
c = -14
-TheUnknownScientist
Answer:
1
-5
-14
Step-by-step explanation:
hope it's helpful
Please help me I have 10 minutes no scams I’m in 7th grade
Answers
Answer:
The answer is 37
Step-by-step explanation:
180- 143= 37
The volume of a sphere is . To the nearest , what is the radius of the sphere? Use 3.14 for π.
Answers
Kate walks 5 miles in 2 hours at a steady pace. How far can she walk in 1 hour and 15 minutes? Explain your reasoning.
Answers
Answer:
3.125
Step-by-step explanation:
Kate walks 5 miles in 2 hours (120 minutes)
The distance she can works in 1 hour 15 minutes can be calculated as follows
This can be calculated using proportion
d/75= 5/120
Cross multiply
d×120= 75×5
120d= 375
d= 375/120
= 3.125
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
its C
Step-by-step explanation:
Options are:
CPCTC
Congruent
vertical angles are congruent
If alternate interior angles are congruent then lines are parallel
Answers
Answer:
1) because they are vertical angles
2) because SAS
3) CPCTC
4) Converse of the Alternate Interior Angles
Find the area of the figure
Answers
Answer:
174.14 im not sure tho
Step-by-step explanation:
i ned help with this asap. im not well with percentages
Answers
Answer:
160
Step-by-step explanation:
Add up all the numbers
48 + 67 + 16 + 29 = 160
Answer: D. 160
Step-by-step explanation:
Find the rate of change from the table ...
Answers
Answer:
(34-30)/(4-2)=4/2=2
(38-34)/(6-4)=4/2=2
Step-by-step explanation: basically, we are just trying to calculate the slope, so (y2-y1)/(x2-x1), then you will get your answer
The dot plot shows two students’ scores on 12 history quizzes.
Which of the following statements correctly compares the median and the range of their scores?
A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores
B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores
D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores
Answers
Answer:
The correct answer is B
Step-by-step explanation:
Both of their medians are equal and Ami's range is larger than Lolo's range :)
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Option B is the correct answer.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Lolo's quiz:
Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19
Median.
= (14 + 15)/2
= 14.5
Range,
= 19 - 12
= 7
Ami's score:
Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18
Median.
= (14 + 15)/2
= 14.5
Range.
= 18 - 10
= 8
We can say that,
The median is the same for both and Ami's range is greater than Lolo's.
Thus,
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Learn more about median here:
https://brainly.com/question/28060453
#SPJ2
How do you do √1/3/5
Answers
Answer:
Write
1
as a fraction with a common denominator.
−
√
5
5
−
3
5
Combine the numerators over the common denominator.
−
√
5
−
3
5
Subtract
3
from
5
.
−
√
2
5
Rewrite
√
2
5
as
√
2
√
5
.
−
√
2
√
5
Multiply
√
2
√
5
by
√
5
√
5
.
−
(
√
2
√
5
⋅
√
5
√
5
)
Combine and simplify the denominator.
Tap for more steps...
−
√
2
√
5
5
Simplify the numerator.
Tap for more steps...
−
√
10
5
The result can be shown in multiple forms.
Exact Form:
−
√
10
5
Decimal Form:
−
0.63245553
…
()|[]√≥°
789≤θ
456
Owen asked 10 classmates how many text messages they each send per day. The results are in the list below. 0,5, 39, 29, 0, 30, 14, 23, 25, 22 Click within the graph area to create a histogram for the number of text messages Owen's classmates each send per day. Owen's Survey 5 4 Frequency 1 0-9 10-19 20-29 30-39 Number of Text Messages
Answers
Step-by-step explanation:
0,0,5= 0-9 (3)
14= 10-19 (1)
29,23,25,22= 20-29 (4)
39,30= 30-39 (2)
Hope this helps :)
[Help Asap, Will Mark Brainliest If Correct!] Find the area of the figure. (Sides meet at right angles.)
Answers
Answer:
74cm^2
Step-by-step explanation:
Find the perimeter of quadrilateral ABCD with vertices A=(1,1) B=(4,4) C=(7,1) D=(4,-2). Explain your answer.
Answers
we have the coordinates of ABCD
there are 2 ways of doing this one is you find the distance of ab, bc, cd and da and then add the answers together. there is another way but i dont remember it properly so i am just gonna do it this way
distance between 2 point = [tex]\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]
AB
[tex]d = \sqrt {(4 - 1)^2 + (4 - 1)^2}[/tex]
[tex]d = \sqrt {(3)^2 + (3)^2}[/tex]
[tex]d = \sqrt {9 + 9}[/tex]
[tex]d = \sqrt 18[/tex]
AB = 4.24
now repeat the same with all
BC= 4.24
CD= 4.24
DA= 4.24
so its a square with all the same sides so perimeter is 4 x 4.24
perimeter is 16.96
hope this helps
mark me as brainliest please
Which choice is equivalent to the product below?
√3x√5x√6
O A. 3√10
O B. 9√10
O C. 3√5
O D. 10√3
Answers
Answer:
D....................
I need help with this?
Answers
================================================
Explanation:
To get the LCM (lowest common multiple) of 8 and 10, we can multiply the two values together to get 8*10 = 80, then we divide by the GCF (greatest common factor) which is 2 to get to the LCM of 80/2 = 40.
While 80 is a common multiple of 8 and 10, it is not the smallest such value. That would be 40. So that's why we divided by 2.
Another route we can take is to list out the multiples of 8 and 10 like so
multiples of 8 = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...}multiples of 10 = {10, 20, 30, 40, 50, 60, 70, 80, ...}as shown in bold above, the value 40 is in both lists and it is the smallest such common item.
So this tells us that the last two digits are 4 and 0 in that order.
--------------
The GCF of 30 and 75 is 15 since we can say
30 = 15*2
75 = 15*5
Note how the 2 and 5 have no other factors in common, other than 1. This helps us see how 15 is the largest shared factor. So the first two digits are 1 and 5 in that order.
Overall, the four digit code is 1540.
Sarah is filling 6 vases with water. Each vase will get of a liter of water. How many liters of water will be in the 6 vases? A. B. C. D.
Answers
Explanation:
The problem says “each vase get of a liter of water” that mean in each vase it contains only one liter of water, since there are 6 vase. You would multiple 6 by 1 to get 6 liters in 6 vases.
2/5 of the flowers in Veronica's garden are marigolds. If there are 55 flower plants in her garden, how many marigold plants does she have?
Answers
Answer:Veronica has 22 marigold plants
Step-by-step explanation:
Total Number of flower plants in her garden=55
fraction of flower plants which are marigolds=2/5
Number of flower plants which are marigolds=2/5 x Total Number of flower plants in her garden
=2/5 x 55
=22
A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.
Answers
A= 1/5
B= 2/15
i took the test
Answer:
A= 1/5
B= 2/15
Step-by-step explanation:
A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total receives were $2414
How many who paid were adults?
How many who paid were seniors?
Answers
Answer:
Step-by-step explanation:
Determine the types of tickets involved.
There are student tickets and adult tickets.
Create a table to organize the information.
Type
Number
Value ($)
Total Value ($)
Student
6
Adult
9
1
,
506
Step 2. Identify what you are looking for.
We are looking for the number of student and adult tickets.
Step 3. Name. Represent the number of each type of ticket using variables.
We know the number of adult tickets sold was
5
less than three times the number of student tickets sold.
Let
s
be the number of student tickets.
Then
3
s
−
5
is the number of adult tickets.
Multiply the number times the value to get the total value of each type of ticket.
Type
Number
Value ($)
Total Value ($)
Student
s
6
6
s
Adult
3
s
−
5
9
9
(
3
s
−
5
)
1
,
506
Step 4. Translate: Write the equation by adding the total values of each type of ticket.
6
s
+
9
(
3
s
−
5
)
=
1506
Step 5. Solve the equation.
6
s
+
27
s
−
45
=
1506
33
s
−
45
=
1506
33
s
=
1551
s
=
47
students
Substitute to find the number of adults.
3
s
−
5
=
number of adults
3
(
47
)
−
5
=
136
adults
Step 6. Check. There were
47
student tickets at
$6
each and
136
adult tickets at
$9
each. Is the total value
$1506
?
We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.
47
⋅
6
=
282
136
⋅
9
=
1224
_____
1506
✓
Step 7. Answer the question. They sold
47
student tickets and
136
adult tickets.
What is the sum of the series below?
216,345
216,690
218,085
254,045
Answers
Answer:
C. 218,085
Step-by-step explanation:
edge quiz
What is the range in math?
1 3 2 7 1 0 9
Answers
Answer:
9
Step-by-step explanation:
to find the range you must find the biggest number and the smallest number then subtract-
and in your case, the smallest number is 0 and the largest is 9
9-0
=9
**next time try using alcula.com, it'll save you the points**
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet. A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3.14 for Pi. 172.70 ft2 178.98 ft2 200.96 ft2 379.94 ft2
Answers
Answer:
178.98 ft2
Step-by-step explanation:
The approximate area of the path is 179 ft².
Area of the smaller circleThe area of the smaller circle is calculated as follows;
A₁ = πr₁²
Where;
r₁ is the radius of the smaller circle = 8 ftA₁ = π x 8²
A₁ = 201.088 ft²
Area of the bigger circleA = πr₂²
Where;
r₂ is the radius of the bigger circle = 8 + 3 = 11 ftA₂ = π x (11)²
A₂ = 380.18 ft²
Area of the pathA = A₂ - A₁
A = 380.182 ft² - 201.088 ft²
A = 179.094 ft²
Thus, the approximate area of the path is 179 ft².
Learn more about area of circle here: https://brainly.com/question/12269818
Bobby and Marie are running a lemonade stand.They spend $12 on all their materials and charge $1.50 for each cup of lemonade. If they sell 20 cups of lemonade, how much money would they make(or lose)?
Answers
Answer:
$18
Step-by-step explanation:
First you would multiply $1.50 by how many cups of lemonade they sell (20). Your answer for this would be $30. After that you want to subtract the $12 from the $30, because they spent $12 on materials. Then you get $18, which is your answer. Hope this helps :)
Ms. Benson can pay $293.22 for her gym membership upfront, or she can pay the amount over a period of six months. How much would Ms. Benson pay each month for the sixth month period?
Answers
Answer:
She would have to pay $48.87 a month for six months.
Step-by-step explanation:
293.22 ÷ 6 = 48.87
Answer:
$48.87
Step-by-step explanation:
For example, if it was a backruptcy we would need to get the principal amount using the simple interest formula.
Interest = Principal * interest rate * term
180 = P * 2% * 1
180 / 2% = P
9,000 = Principal
Benson pays an additional interest of 9,000 each year. Monthly payment of 750.
9,000 / 12 months = 750 per month.
But since we are just dividing the answer will be 293.22 ÷ 6 = 48.87
What is the scale factor of the dilation?
Parallelogram FGHJ was dilated and translated to form
similar parallelogram FG'H'J'.
1. 1/8
2. 1/4
3. 4
4. 8
Answers
Answer:
3
Step-by-step explanation:
List all the transformations for the following equation.
Answers
Answer:
flipped over the x-axis
horizontal shift left 7 units
vertical shift down 6 units
Step-by-step explanation:
I need help please quick!!!!
Answers
Answer:
C
Step-by-step explanation:
The cargo of the truck weighs less than 2,800 pounds. Use w to represent the weight (in pounds) of the cargo.
Answers
Answer:
w < 2,800lb
Step-by-step explanation:
w weighs less than 2,800 pounds.
