Answers
Given:
A line segment AB.
A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.
To find:
The coordinates of that point.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).
Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,
[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]
Let AP and AB are 3x and 10x, then
[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]
It means, point P divided the line segment in 3:7.
Using section formula, we get
[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]
[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]
[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]
[tex]P=\left(0.8,-2.3\right)[/tex]
Therefore, the coordinates of the required point are (0.8, -2.3).
Related Questions
Rowan and Brody are both solving the equation 4x=12. Rowan is not sure what to do because he does not know a power of 4 that equals 12. Brody uses his calculator to graph y=4xand y=12 and find the point of intersection. Will Brody’s method work?
Answers
Answer:
Yes, the graph intersects around (1.7925,12), so 1.7925 is a good estimate of the solution to 4x=12.
(1st one in TTM)
Answer:
a
Step-by-step explanation:
it was right
What is 65% of 568 ?
Answers
Answer:
8
Step-by-step explanation:
568÷65=8
Answer:
369.2
Step-by-step explanation:
65% of 568
= 65/100 x 568
=36920/100
=1846/5
=369.2
the park is 3 miles long and 2 miles wide. manuel walked around the park two times. how many miles did he walk in all?
(im pretty sure im wrong but is the answer 12?)
Answers
Answer:
20 miles.
Step-by-step explanation:
You're on the right track with your answer of 12. You added the sides you knew & multiplied by 2.
I'm picturing the park like a rectangle. So there are two sides that are 3 miles long, and 2 sides that are 2 miles long. For perimeter, we add all the sides.
3 + 3 + 2 + 2 = 10. And he walked the park twice, so 2 x 10 = 20
HELP
Sairam has two jobs. He earns $8 per hour babysitting
his neighbor's children and he earns $11 per hour
working at the coffee shop.
Write an inequality to represent the number of hours,
x, babysitting and the number of hours, y, working at
the coffee shop that Sairam will need to work to earn
a minimum of $200.
Answers
Answer:
sairam will have to work around 18.18 hours at coffee shop to get 200$
Step-by-step explanation:
Sagar sold a watch at Rs.400 that he had purchased at Rs.500.what is his
percentage loss?
a. 15%
b. 20%
c.25%
d. 30%
Answers
Explanation:
Original price (OP): $500
Selling price (SP): $400
Percentage loss:
= (OP - SP)/OP x 100%
= (500-400) / 400 x 100%
= 100/400 x 100%
= 1/4 x 100%
= 25%
The loss percentage is 20%.
We have the following information available from the question is:
Saggar sold a watch at Rs.400 that he had purchased at Rs.500.
We have to find the Percentage loss.
Now, According to the question:
Cost price of watch is (CP): $500
Selling price of watch is (SP): $400
Loss percentage= Loss/CP x 100.
Loss = C.P. - S.P.
Loss = 500 - 400
Loss = $100
Plug all the values in the formula of loss percentage.
Loss percentage = 100/500 x 100
Loss Percentage is 20%
Learn more about Loss Percentage at:
https://brainly.com/question/30938251
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Prices of plants: $10, $8, $20, $25, $14, $98, $11, $9, $8, $6
Which measure of center best represent the data?
A.
mean
B.
median
C.
mode
D.
range
Answers
wouldnt it be nice to have a anwers
(A)
Answer:
A
Step-by-step explanation:
Mean gives you the average, so it would give you the average of the price . Sorry if this is wrong .
Please help marking brainliest serious answers only
Answers
Answer:
d
Step-by-step explanation:
please mark me as brainlist and be happy
add me on sñap my ID is: arshad2623f
please i just wanted to make friends cuz I'm alone BTW I'm 15yo
Answer:
Consecutive Interior
Step-by-step explanation:
When two lines are crossed by another line (called the Transversal) The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
I have 21 students and each picture takes 3 minutes and each class picture takes 10 minutes
Answers
Answer:
It would take 73 minutes in total.
Step-by-step explanation:
21 students x 3 minutes = 63 minutes
63 + 10 = 73
I hope this is what you were asking :)
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 13)(0,13) and (3, 832)(3,832).
Answers
Answer: Down Below
Step-by-step explanation: y=ab%5Ex
that goes through points (0, 10) and (2, 490)
y=ab%5Ex.......plug in (0, 10)
10=ab%5E0
10=a%2A1
a=10
so far
y=10b%5Ex......plug in (2, 490)
490=10b%5E2
b%5E2=490%2F10
b%5E2=49
b=sqrt%2849%29
b=7
your function is:+y=10%2A7%5Ex
A function assigns the values. The exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the exponential eqation is y=abˣ, substitute any one of the point in equation we will get,
13 = ab⁰
13 = a ₓ 1
a = 13
Therefore, the function can be written as y=13bˣ.
Substitute other point in the equation,
832 = 13 (b³)
b³ = 832/13
b³ = 64
b = 4
Hence, the exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.
Learn more about Function:
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Five cats each had 5 kittens. The cats and kittens each had 5 fleas. Each flea had 5 tiny spiders on it. How many legs are there all together?
Answers
Answer:
5 cats times 4 legs = 20
5 kittens times 4 legs =20
5 fleas times 5 cats = 25
5 fleas times 5 kittens = 25
5 tiny spiders times 5 fleas = 25
20+20+25+25+25= 115
115 legs altogether
Answer:
yup 115 legs
Step-by-step explanation:
The ratio of the volume of orange juice in Glass A to the volume of orange juice in
Glass B is 5: 3. Half of the orange juice in Glass A is poured into Glass B. What is the
new ratio of the volume of orange juice in Glass A to the volume of orange juice in
Glass B?
Answers
Answer: A:B = 3:13
Step-by-step explanation:
B 5, A 3 (double to get rid of halves)
B 10, A 6, —> B 13 A 3
The question needs you to find the new ratio of the glasses
The new ratio of glass A to glass B = 2.5 : 5.5
Glass A = 5
Glass B = 3
Half of the orange juice in Glass A is poured into Glass B
B = 3 + 1/2 of 5
= 3 + (1/2×5)
= 3 + 5/2
= 6 + 5 / 2
= 11/2
B = 11/2
= 5.5
A = 5 - 1/2 of 5
= 5 - (1/2×5)
= 5 - 5/2
= 10-5/2
= 5/2
= 2.5
The new ratio of glass A to glass B = 2.5 : 5.5
Read more:
https://brainly.com/question/19473677
Which choice is equivalent to the product below? Square root of 8 Times Square root 5?
Answers
Answer:
Step-by-step explanation:
Mary buys a pair of jeans for $24.99, a skirt for $32.99 and a pair of shoes for $49.99. She has a coupon for 15% off the most expensive item. If the tax is 7.5%, what is the total cost?
Answers
no lm not sure but lm sure$107.97
Step-by-step explanation:
okieee
The total cost is $108.01.
What is a percentage?
A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Mary buys a pair of jeans for $24.99, a skirt for $32.99 and a pair of shoes for $49.99.
She has a coupon for 15% off the most expensive item.
And the most expensive item costs $49.99.
That means, 15% of 49.99
15 x 49.99 = $7.4985
So, the total amount 24.99 + 32.99 + 49.99 - 7.4985
= 100.4715
The tax is 7.5%.
That means,
7.5% of 100.4715
7.5 x 100.4715 / 100 = 7.5353625
Now the total cost = 100.4715 + 7.5353625 = 108.0068625
Therefore, $108.01 is the total cost.
To learn more about the percentage;
https://brainly.com/question/24159063
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Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:
a.
1923.24
b.
1816.93
c.
1500
d.
1485
Answers
Answer:
c.
1500
Step-by-step explanation:
The computation of the total amount of interest in first month is shown below:
Interest for first month is
= Mortgage amount × interest rate ÷ total number of months in a year
= $300,000 × 6% ÷ 12
= $1,500
Hence, the interest in the first month is $1,500
Therefore the c option is correct
Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $10,740. How many more T-shirts, x, does Carlene need to sell to reach her goal?
Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.
Answers
1. $20.50X + $900= $10,740
2. Subtract $900 to both side
3. $20.50X= $9,840
4. Divided $20.50 to both side
5. X=480
Answer: Carlene need 480 more T-shirts to sell to reach her goal.
Check answer:
1. X=480
2. $20.50(480) +$900=$10,740
3. $20.50(480)=$9,840
4. $9,840 + $900= $10,740
5. $10,740=$10,740( check, so it’s percent correct)
What is the difference between the leg and hypotenuse of a right triangle?
Answers
Answer:
The Hypotenuse is always the greater number in length and a way you can where it is, that in your right tringle you have your Base and side. and there always a square between them, so the square will be pointing at the Hypotenuse. and the Right triangle its a triangle but one side is straight
Step-by-step explanation:
Sorry i did my best explanation
Help ASAP plz ASAP please
Answers
Answer:
y = 6
Step-by-step explanation:
3y/2 - 1 = 8
3y/2 = 8 + 1
3y/2 = 9
3y = 9 × 2
3y = 18
y = 18/3
y = 6
Answer:
y = 6
Step-by-step explanation:
[tex]\frac{3y}{2}[/tex] -1 =8
[tex]\frac{3y}{2}[/tex] -1 + 1 =8 +1
[tex]\frac{3y}{2}[/tex] = 9
[tex]\frac{3y}{2}[/tex] × 2 = 9 × 2
3y = 18
3y/3 = 18/3
y = 6
Double check:
[tex]\frac{3(6)}{2}[/tex] - 1 = 8
[tex]\frac{18}{2}[/tex] -1 =8
9 - 1 = 8
8 = 8
Please please give answer for this question
Answers
Answer:
each side of the hexagon measures 40 cm (which agrees with answer B)
Step-by-step explanation:
Recall that a regular hexagon has six equal sides, therefore, each side would be one sixth of the 240 cm:
each side of the hexagon = 240 cm / 6 = 40 cm
#2) Can the sides of a triangle have the lengths 1, 3, 1? *
O Yes
O No
Answers
- 3x + 5y = -2
2x - 2y = 1
Solve by elimination
Answers
the answer i think its 8 not sure
Three car brands A, B, and C have all the market share in a certain city. Brand A has 20% of the market share, brand B has 30%, and brand C has 50%. The probability that a brand A car needs a major repair during the first year of purchase is 0.05, the probability that a brand B car needs a major repair during the first year of purchase is 0.10, and the probability that a brand C car needs a major repair during the first year of purchase is 0.15. a. What is the probability that a randomly selected car in the city needs a major repair during its first year of purchase? b. If a car in the city needs a major repair during its first year of purchase, what is the probability that it is a brand A car?
Answers
Answer:
a.) 0.115
b.) 0.087
Step-by-step explanation:
Given,
P(A) = 20% = 0.20
P(B) = 30% = 0.30
P(C) = 50% = 0.50
Let M - major repairing during first year
P(M/A ) = 0.05
P(M/B) = 0.10
P(M/C) = 0.15
a.)
P(M) = P(M∩A) + P(M∩B) + P(M∩C)
= P(M/A).P(A) + P(M/B).P(B) + P(M/C).P(C)
= (0.05)(0.20) + (0.30)(0.10) + (0.15)(0.50)
= 0.01 + 0.03 + 0.075
= 0.115
⇒P(M) = 0.115
b.)
P(A/M) = P(A∩M)/ P(M) = P(M/A).P(A)/P(M)
= (0.05)(0.20) / 0.115
= 0.01 / 0.115 = 0.087
⇒P(A/M) = 0.087
Help me on question 3 pls I’ll Karl you as brainliest
Answers
what is the vertex of f(x)=7(x+15)^2
Answers
Answer:
y = a ( x − h ) 2 + k
Step-by-step explanation:
https://socratic.org/questions/what-is-the-vertex-form-of-y-2x-2-7x-15#243713
00:00
Which pair of numbers has a GCF of 8?
8 and 28
16 and 56
32 and 16
40 and 55
How do you get the answer
Answers
Answer:
B. 16 and 56
Step-by-step explanation:
The greatest common factor or GCF, is the highest whole number that is a factor, or that multiplies to get, two or more numbers.
For example, option a, 8 and 28. 8 is a factor of 8, 8 times 1, but 8 is not a factor of 28. 28 divided by 8 will not give you a whole number.
Option c, 32 and 16, both have factors of 8. 4*8 is 32 and 8*2 is 16. This however, is not the gcf, because the true gcf is 16. 16*1 is 16 and 16*2 is 32. 16 will go into both evenly and is the highest number that will do so and is the gcf of that pair
d, 40 and 55, is the same as the first. 8*5 is 40, but 8 will not evenly go into 55 and cannot be a factor.
That leaves you with 16 and 56, the correct option
16 only has 3 factors, 16*1, 8*2, and 4*4, so 16, 8 and 4.
56 has more factors, 28, 14, 8, 7, 4, and 2. Those are the only numbers that multiply together to get 56. The highest number in both those lists is 8, so 8 is the Greatest Common Factor.
Hope this helps, and brainliest is much appreciated! Have an awesome day.
Solve: x (x + 3) = 28
Answers
Answer:
x = 25
Step-by-step explanation:
28 - 3 = 25
Answer:
x = 25
Step-by-step explanation:
I WILL MARK BRAINLEST PLS
Oki received a statement on her Certificate of Deposit showing that her investment had returned $8,000 over its life. If the Certificate of Deposit pays a simple interest rate of 4% and her initial investment was $ 20,000, how long had the money been invested?
Select one:
a. 130.1 months
b. 10 years
c. 10.8 years
d. 80 months
Answers
Answer:
b) 10 years
Step-by-step explanation:
8,000 x .04 = 800 x 10 = 8000
Hope that helps!
Answer:
10
Step-by-step explanation:
round to the nearest hundredth
Answers
Answer: 0.06
Step-by-step explanation:
2/(3+25+2)=0.06
find the are area of the square ABCD
Answers
Answer:
196 m2
Step-by-step explanation:
Answer:
The area of the square ABCD with side of 14m
is 196 m²
Step-by-step explanation:
Area = a*a = 14 x 14 = 196 m²
a is side
PLZZZZZZZZ HURRY
When plotting points on the coordinate plane below, which point would lie on the y-axis?
A coordinate plane.
(0, 1)
(7, 0)
(6, 8)
(8, 2)
Answers
Answer:
0,1 lies on y axis ......
Step-by-step explanation:
option A (0,1) point will lie on the y axis as on y axis x coordinates is 0.
solve the equation x + 20.7 = 9.5 for x
i need this asap thanks
