What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh One-eleventh Two-fifteenths Fifteen-halves.
Answers
The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
The given parameters:
Partition of the line segment = 5:6The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;
total segment = 5 + 6 = 11
The value of each partition on the directed line segment is calculated as follows;
[tex]partition = \frac{1}{11} \times distance[/tex]
The distance between point D and point E is calculated as follows;
[tex]D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9[/tex]
The partition of the two points (D to E) is calculated as follows;
[tex]partition = \frac{1}{11} \times 9 = 0.82[/tex]
Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
Learn more about partition of line segments here: https://brainly.com/question/4429522
Answer:
B
Step-by-step explanation:
edge2021
Related Questions
Help needed read carefully
I got a 30 on a math test and t hmm e only way to get 65 (passing grade) is to solve the mystery number
I am a factor of 5 and when you pair me up with 15 I am almost a gcm of 30
I am larger than 20 and less than 40
what number am i?
Answers
Answer:
4
Step-by-step explanation:
The factors of 5 and 15 are 1, 5 and 1, 3, 5, 15 respectively.
How many factors does 15 have?
4 factors
Factors of 15 are the list of integers that can be evenly divided into 15. It has a total of 4 factors of which 15 is the biggest factor and the positive factors of 15 are 1, 3, 5, and 15.
I need help and I can’t find any sadly. Help!!
Answers
Answer:
See answer below.
Step-by-step explanation:
3x - 2 = 4 Given
+2 = +2
3x = 6 Addition Property of Equality
3x/3 = 6/3
x = 2 Division Property of Equality
5ab+8c} if a = 3, b = 2, and c = 9.
Answers
Step-by-step explanation:
5ab + 8c
Putting values of a = 3 b = 2 and c = 9
5(3)(2) + 8(9)
30 + 72
102
Which number is divisible by both three and nine?
Select the Hint button to view a hint.
A B C D
Answers
Answer:
27
Step-by-step explanation:
3 * 9 = 27
Hope this helps!
Answer:
The bold word help you
Step-by-step explanation:
Consider the numbers 2, 23, 234, 2345, 23456, 234567.
Every number divisible by 9 is divisible by 3. For example, 7425 is divisible by 9, hence it is divisible by 3. However, a number divisible by 3 is not necessarily divisible by 9. For example 6, 12, 15, 21, 24, 30 are all divisible by 3 but none of them is divisible by 9.
6 is divisible by 3 but not by 9 because 6 is greater than 3 but smaller than 9
The area of a rectangle is greater than or equal to 42 square centimeters. The width of the rectangle is 6 centimeters and the length is
centimeters. Select the possible value(s) of a.
7
Answers
Answer:
≥7
Step-by-step explanation:
6x7=42
Hope that helps
Answer:
x≥7
Step-by-step explanation:
can someone solve this trigonometry question?
Answers
Need help !!!!!!!!!!!!!!!!!!!
Answers
$8.28
______
0.3 m
or
$13.00
______
0.4 m
What are the unit prices of each and which one is a better buy?
Answers
Answer:
1st
Step-by-step explanation:
1) 1m cost = $8.28/0.3=$27.60/m
2) 1m cost = $ 13.00/0.4=$32.5/m
Edwin is selling 5 candy bars for $6. what if 5 was 1
Answers
Answer:
$ 1.2
Step-by-step explanation:
you need to divide 6/5 and then that's the answer.
Determine the measure of the angles.
Answers
Answer:
E=118
K=50
Step-by-step explanation:
I=E
E=118
K=360-118-118-74 (sum of angles in quad)
K=50
The graph of a function is shown on the coordinate plane below. Identify the rate of
change of the function.
Answers
=========================================================
How to get that answer:
The slope is the rate of change for any linear function.
Apply the slope formula for any two points on the diagonal line.
I'll use the points (-4, -3) and (0, 4)
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{0-(-4)}\\\\m = \frac{4+3}{0+4}\\\\m = \frac{7}{4}\\\\[/tex]
The slope is m = 7/4
This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)
slope = rise/run = 7/4
rise = 7, run = 4
The fraction 7/4 converts to the decimal form 1.75
One student claims that 25% is equivalent to 1/4%. Is that correct? Why or why not?
Answers
Answer:
ya
Step-by-step explanation:
25 percent is equally to 25 over 100 which is 1over4
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .
The independent variable is the _____________?
The dependent variable is the ______________?
Answers
Answer:
The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .The Independent variable is the numbers of months after the first year .The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .Step-by-step explanation:
Hope this helps you !!A package of 3 pairs of insulated socks costs $23.07 . What is the unit price of the pairs of socks
Answers
The answer would be 23.07/3 = 23 is $7.69
Find the product -1.2(0.04)
Answers
Answer:
-0.048
Step-by-step explanation:
-1.2 * 0.04 = -1.2 * 4 / 100 = -4.8 / 100 = -).048
PLEASE, PLEASE HELP ME I SWEAR I'LL GIVE BRAINLIEST
Answers
Answer:
1. is a solution
2. is a solution
3. not a solution
4. not a solution
5. not a solution
6. is a solution
7. is a solution
8. not a solution
Step-by-step explanation:
9-(1-3y)=4+y-(3-y), find y
Answers
Answer:
-7 is the answer!! :) hope this helps
ANSWER FAST PLZ I REALLY NEED HELP :(
Mr. Wiley averages 12 mph when his boat is in still water. One day he goes 12 miles upstream and the same distance back. The round-trip takes two hours and 15 minutes. What is the speed of the current on that day?
Answers
Answer:
4 mph
Step-by-step explanation:
The current subtracts from the boat speed going upstream, and add going downstream. The relation between speed, distance, and time is ...
time = distance/speed
2 1/4 = 12/(12 -c) + 12/(12 +c) . . . . . round trip time is the sum of the trip times
9/4(12 +c)(12 -c) = 12(12 +c) +12(12 -c) . . . . multiply by (12 +c)(12 -c)
144 -c^2 = 128 . . . . . . multiply by 4/9 and simplify
16 = c^2 . . . . . . . . . add c^2 -128
c = 4 . . . . . . . . . positive square root
The current was 4 mph that day.
!!!!!!!!!!!!!!determine which of these are perpendicular parallel or none
Answers
Answer:
Parallel: a and c
Perpendicular: a and b, c and b
Step-by-step explanation:
Basically you would want to isolate for y.
Line a:
4y - 12x = 20
4y = 12x + 20
y = 12x/4 + 20/4
y = 3x + 5
Line b:
3y = -x+2
y = -x/3 + 2/3
Line c:
y=3x - 1
Now look at each line and compare their slopes.
-Lines a and c have same slope., thus they are parallel.
-lines a and b are perpendicular because the slopes are negative reciprocals each other
-lines b and c are also perpendicular
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip?
Answers
Step by step explanation:
10:45
-7:30
———
3:15
Find the slope for (3,1)and (4,3)
Answers
so, 3-1 =2 and 4-3=1
2/1 is 2
Answer:
2
Step-by-step explanation:
slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points
We are given the points (3,1)and (4,3)
Given these points we can define our variables
(x1,y1) = (3,1) so x1 = 3 and y1 = 1
(x2,y2) = (4,3) so x2 = 4 and y2 = 3
Now that we have defined our variable, we plug them into the formula
Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3
* plug in values *
[tex]\frac{3-1}{4-3}[/tex]
subtract 3 and 1 , and 4 and 3
[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]
the slope is 2
A scientist evaluated the local deer population. The scientist found that there were 100 deer in all, 15% of which were juveniles. How many juveniles were there in the local deer population?
Answers
Answer:
this is easy 100% in this case equals 100 so 15 Juveniles equals 15%
Step-by-step explanation:
please i need help with this
Answers
Given :-
Line p has an equation of y = 5/3x - 4 .Line q includes point (-10,-3) and is perpendicular to the line p .To Find :-
The equation of line q .Solution :-
The equation of the line p is ,
[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4
On comparing to slope intercept form of the line which is y = mx + c , we have ,
[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3
Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,
[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]
Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,
[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]
[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]
[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)
[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6
[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x
[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9
Hence the required answer is y = -3/5x - 9 .
Answer:
For Perpendicular lines you have to know
Step-by-step explanation:
Slope of P ×slope of q=-1 (always since they are perpned..)
so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p
so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes
And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b
so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3
uniting the denominater ==>y=-3/5x - 45/5
so that q equation is :y=-3/5x - 9
OK LOLOLOL HOW DO I SHOW MY WORK
Answers
Answer:
Yes, this equation is a system of equations because the two equations do intersect at the point, (0.323529411763, -1.23529411765), making them have a solution. *Work Below*
Step-by-step explanation:
Lets use the elimination method which is ...
4x-3y=5
2x+7y=-8
Multiply the bottom part by -2
(-2)2x+(-2)7y=(-2)-8
which equals...
-4x-14y=16
Rewrite the equations
4x-3y=5
-4x-14y=16
Add and the x's cancel making..
-17y=21
Divide by -17 to isolate y
y=-1.23529411765
Replace y with -1.23529411765 on one of the equations
4x-3(-1.23529411765) =5
x=0.323529411763
solution : (0.323529411763, -1.23529411765)
If $7.80 if for 6 pairs of socks then how much is 1 pair of socks
Answers
Answer:
One pair of socks would be 1 dollar and 30 cents
Step-by-step explanation:
you divide the price of the socks by how many socks there are to get the answer.
HELP!...................................................
You start your Thanksgiving morning doing the Turkey Trot, a 5K run, with friends. Your mom said you need to be at the Thanksgiving celebration by 11:30am to help prepare the side dishes. In order to get there on time, you have to plan ahead. The Turkey Trot starts at 8:00am. You have allotted 1.25 hours after the trot to stretch, and get home. It takes you 0.75 hours to shower and get ready. The drive to the Thanksgiving dinner is 0.9 hours. At what speed (in km/hr) do you need to run the Turkey Trot in order to still be on time to Thanksgiving on time?
Answers
Answer:
1.6 hrs remaining, or 3.12 km/h
Step-by-step explanation:
anish spend 1/5 of 4000 and Anil spend 1/3 of 4500.who spend more and by how much
Answers
Answer:
Anil
Step-by-step explanation:
This is because 1/3 is greater then 1/5
A person places $4080 in an investment account earning an annual rate of 5.7%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 4 years.
Answers
We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.
We will use continuous compounding formula to solve our given problem as:
, where
A = Final amount after t years,
P = Principal initially invested,
e = base of a natural logarithm,
r = Rate of interest in decimal form.
Upon substituting our given values in above formula, we will get:
Upon rounding to nearest cent, we will get:
Therefore, an amount of $7499.82 will be in account after 2 years.
Answer:
5124.83
Step-by-step explanation:
r=5.7\%=0.057
r=5.7%=0.057
Move decimal over two places
P=4080
P=4080
Given as the pricipal
t=4
t=4
Given as the time
V=Pe^{rt}
V=Pe
rt
V=4080e^{0.057( 4)}
V=4080e
0.057(4)
Plug in
V=4080e^{0.228}
V=4080e
0.228
Multiply
V=5124.8281\approx 5124.83
V=5124.8281≈5124.83
please help me to get the answers please its important
Answers
Answer:
Q16a: 432 cm³
Q16b: sides: 20 m, 6 m; height: 13 m.
Step-by-step explanation:
Q16aEach cube will have a volume ...
V = s³
V = (6 cm)³ = 216 cm³
The two cubes together will have a volume that is twice that.
The cuboid volume is 432 cm³.
__
Q16bLet h represent the height of the trapezium. Then its area is ...
A = 1/2(b1 +b2)h
169 = 1/2((h +7) +(h -7))h = 1/2(2h²) = h²
h = √169 = 13 . . . . . distance between the parallel sides
The side lengths are h+7 = 20 m and h-7 = 6 m. The distance between them is 13 m.
Please help
7a-4[2-(2a-1)]
Answers
Answer:
15a - 12
Step-by-step explanation:
7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1
= 7a - 4 [ 2 - 2a + 1 ]
= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4
= 7a + 8a - 12 ← collect like terms
= 15a - 12
