what are the coordinates of point q that partitions AB into the ratio 1:3 where (-3,6) and B (6,0)
Answers
The coordinates of point Q that partitions line segment AB into the ratio 1:3 is (-0.75, 4.5).
How to determine the coordinates of point Q?In this scenario, line ratio would be used to determine the coordinates of the point Q on the directed line segment AB that partitions the segment into a ratio of 1 to 3.
In Mathematics, line ratio can be used to determine the coordinates of Q and this is modeled by the following mathematical expression:
Q(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
By substituting the given points into the formula for line ratio, we have;
Q(x, y) = [(1(6) + 3(-3))/(1 + 3)], [(1(0) + 3(6))/(1 + 3)]
Q(x, y) = [(6 - 9)/(4)], [(0 + 18)/4]
Q(x, y) = [-3/4], [18/(4)]
Q(x, y) = [-0.75, 4.5]
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Related Questions
b=1/a dc solve for a
Answers
Answer:
a = dc/b
Step-by-step explanation:
Solving for a means isolating it on one side.
b = 1/a × dc
ab = dc
a = dc/b
India vs England test series in Nottingham
I will cheer for India because I am an Indian
Answers
Answer:
Is this suppose to be math question??
Answer:
hard work will define who wins
The net of square pyramid and its Dimensions are shown in the diagram.what is the total surface area of the pyramid in square feet?
Answers
Use technology to find points and then graph the function y=√x - 4 following the instructions below.
Plot at least four points with integer coordinates that fit on the axes below. Click a point to delete it.
Answers
Answer:
See below
Step-by-step explanation:
what is the next term of the geometric sequence? 5,10,20
Answers
Answer:
40
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
10/5 = 2
We multiply the last term given by the common ratio to get the next term
20* 2= 40
Factorise the exprssions
x^2-ax-bx+ab
Answers
\((x - a)(x - b)\)
Step-By-Step Explanations:
1) Factor out the common term in the first two terms, then in the last two terms.
\(x(x - a) - b(x - a)\)
2) Factor out the common term x - a.
\((x - a)(x - b)\)
Therefor, the answer is ( x - a ) ( x - b ).
A car travels at 80km/h. How many km does the car travel in 27 minutes
Answers
Aaron sets up tables and chairs at the fundraiser. As a god for the guest he places one packet of seeds on each chair ar every table. He buys several additional seed packets that he will plant around tje pond. He writes the following equation to sjow the total cost. Y. For all of the seed packets he orders for x tables. How much chairs are at each table? y=0. 39(8x + 30)
Answers
The number of chairs at each table is 8 chairs. Aaron spends $ 11.7 on the additional seed packets.
As per the given question,
Aaron sets up tables and chairs A packet of seeds is placed on each tableThe equation is given,⇒ y = 0.39 ( 8x + 30 ) → 1
where, x = number of tables
y = total cost
0.39 = Cost of each seed
There will be two types of costs including the total cost:
1. Independent of the number of tables
⇒ ( 0.39 × 8x )
2. Dependent on the number of tables
⇒ ( 0.39 × 30 )
a.) Consider equation 1, where 0.39 is the price of each seed and x is used to denote the number of tables. In equation 1, 8 denotes the number of chairs in which the seed packet is placed.
b.) Amount spend on seed packets
= Independent of x amount
= 0.39 × 30
= 11.7
Therefore, 8 chairs are there at each table. $ 11.7 is the amount that Aaron spent on the additional seed packets.
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The complete question is
a law in a city requires that stairs have minimum treads of in. and maximum risers of in. see the illustration to the right. according to the law, what is the maximum grade of stairs in the city?
The maximum grade of stairs is about _____
Answers
7.5
According to the law in the city, the maximum grade of stairs is about 33.3%.
This is because the law requires minimum treads of 10 in.
and maximum risers of 7.5 in. (illustration to the right).
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In a bag of marbles, there are 4 blue marbles, 6 yellow marbles, 3 red marbles and 6 green marbles. If you choose a yellow marble on your first draw and do not put it back in the bag, what is the probability you get a blue marble on the second draw? probability you get a blue marble on the second draw?
a. 1/6
b. 6/19
c. 4/19
d. 2/9
Answers
Hope this helps
Have a great day/night
find the value of the expression. (5+2)×(7-3)^2
Answers
In order to find the value of the expression, first let's calculate the operations inside the parenthesis:
\(\begin{gathered} (5+2)\cdot(7-3)^2_{} \\ =(7)\cdot(4)^2 \end{gathered}\)Then, calculating the exponential expression and after that the product, we have:
\(\begin{gathered} 7\cdot4^2 \\ =7\cdot16 \\ =112 \end{gathered}\)So the final value is 112.
how do you work out the profit as a percentage of the cost price?
also, could you explain how to find the best value of a price? TYSM!!
Answers
Answer:
Step-by-step explanation:
To work out the profit as a percentage of the cost price, you can use the following formula:Profit percentage = (Profit / Cost price) x 100%For example, if you bought an item for $50 and sold it for $70, the profit would be $20. To find the profit as a percentage of the cost price, you would use the formula above:Profit percentage = (20 / 50) x 100% = 40%So in this example, the profit as a percentage of the cost price is 40%.To find the best value of a price, you need to consider both the cost and the demand for the item. If the price is too high, people may not be willing to buy it, but if it's too low, you may not make enough profit. The best value is the price that maximizes your profit while still attracting enough customers to make sales.One way to determine the best value is to experiment with different prices and see how they affect sales and profits. You can start with a price that you think is reasonable and then adjust it up or down based on customer feedback and sales data. You can also research the prices of similar items sold by competitors to get an idea of what the market will bear.Ultimately, the best value will depend on factors such as the cost of production, the demand for the item, and the competitive landscape. It's important to find a price that balances all of these factors to maximize your profits and grow your business.
Function 1:
f(x) = x² +3x-40/X-4
Function 2: g(x)= x^2 + 4x - 32/X-4
Which statements comparing the graphs of function 1
and function 2 are true?
Check all that apply.
Function 1 has a hole, while function 2 does not.
Function 1 has an oblique asymptote, while function
2 does not
Function 2 has a hole, while function 1 only has
asymptotes.
Function 2 only has asymptotes, while function 1 has
a hole.
Both functions have the same domain restriction.
Both functions have the same vertical asymptote.
Answers
Answer:
[✓] Function 1 has an oblique asymptote, while function 2 does not.
[✓] Function 2 has a hole, while function 1 only has asymptotes.
[✓] Both functions have the same domain restriction.
Answer:
b,c,e
Step-by-step explanation:
Help Aleks mathh geometry
Answers
Answer:
x= 3
and LP is probably 2
NOTE: I'm not to exactly sure for answer LP but I am sure that X = 3
1. What is the slope of a line Parallel to y=-2/3x - 7*3/2-3/2O 2/3-2/3
Answers
Question:
Solution:
The definition of parallel lines tells us that if two lines are parallel, they have the same slope. On the other hand, the slope-intercept form of a line is given by the following formula:
y = mx+b
where m is the slope of a line. In this case, the slope of the given line would be m = -2/3. Then the correct answer would be:
\(-\frac{2}{3}\)
Lorreen sells 18 adult tickets, 23 student tickets, and 10 discount tickets for the school play. Write the ratio student tickets to adult tickets in three ways.
Answers
Answer:
23:18,23 to 18,23/18
Step-by-step explanation:
the three ways to write a ratio are colon,the word to, and the divide symbol .
What is the marginal rate of substitution (MRS) for u(x)=5x
2
?
Answers
The marginal rate of substitution (MRS) for u(x) = 5x^2 is 10x.
The marginal rate of substitution (MRS) represents the rate at which a consumer is willing to trade off one good for another while keeping their utility constant. In the given utility function u(x) = 5x², where x represents the quantity of a particular good, we can determine the MRS by taking the derivative of the utility function with respect to x.
Taking the derivative of u(x) = 5x² with respect to x, we get du/dx = 10x. This derivative represents the MRS. The coefficient 10 indicates that for each unit increase in x, the MRS increases by a factor of 10.
The MRS of 10x implies that the consumer is willing to give up 10 units of the other good in exchange for an additional unit of x while maintaining the same level of utility. This indicates a constant rate of substitution between the two goods.
In summary, the marginal rate of substitution (MRS) for the utility function u(x) = 5x² is 10x, indicating the consumer's willingness to trade off the other good for x at a constant rate of substitution.
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2. What is the VOLUME of the rectangular prism? Consider the rectangle on the top/bottom as the base.
I need Area of Base
height and
Volume
Answers
Area of base = 52
height = 5
Volume = 260
To find the volume of a rectangular prism all you need to do is multiply the length * width * height.
the area of base is the length * width = 13 * 4 = 52
then you multiply that by the height = 52 * 5 = 260
WHOEVER IS THE FIRST ANSWER I'LL MARK THE BRAINIEST ANSWER!!!
Find the arc length of the partial circle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Answers
Answer:
4π
Step-by-step explanation:
find the circumference first
2π r
2π 8=16π
then find the arc length
16π * 1/4
4π
Check the consistency of 2x-3y=7 and x-2y+1=0
Answers
Answer:
x = 17, y = 9
or as an ordered pair, (17, 9).
The equations are consistent.
Step-by-step explanation:
2x - 3y = 7
x - 2y = -1 Multiply this equation by -2:
-2x + 4y = 2 Add this to the first equation:
y = 9.
Plug y = 9 into the second equation:
x - 2*9 = -1
x = -1 + 18 = 17.
How do you find the run between two points? Can the rise be negative? Explain
Answers
Answer:
Step-by-step explanation:
To find run between two points, you will use the x-values.
For example, (2,3) and (4,5).
Your equation for slope is m=\(\frac{y_2 - y_1}{x_2 - x_1}\)
To find the run of these two numbers, you will subtract the second x value from the first x value.
Your answer would be 2 for the run.
It is possible for the rise to be negative if the y value of the point is greater in the first point than the second.
Example:
points (2,8) and (5,1)
1 - 8 would equal -7.
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
A. y = 3x – 10
B. y = 2x – 14
C. y = 3x + 14
D. y = x + 4
Answers
Answer:
A.
Step-by-step explanation:
Slope = y2-y1/x2-x1
(2,-4) = (x1,y1)
(4,2) = (x2,y2)
Slope = (2+4)/(4-2)
= 6/2
= 3
Y=mx+b [Plugging (4,2) into this]
2 = 3×4 +b
2 = 12 + b
b = -10
Answer:
A
Step-by-step explanation:
Just did the test. Hope this helps!!
the interquartile range (iqr) is a measure of the ____________ of the middle ____________ percent of the data.
Answers
The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.
The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.
The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.
By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.
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Suppose y varies directly with x. When x is 3, y is 18. What is x when y is 24?
Answers
Answer:
4
Step-by-step explanation:
If I'm reading it correctly, x is multiplied by 6 to equal y.
So, 3(x) x 6 = 18(y)
Therefore, 24/6 = 4 OR, 4(x) x 6 = 24(y)
HELPPPPPPPP ASAPPPPP PLSSSS
Answers
**please help due today I am behind please, please 17 points **
There are no more than 20 children in the daycare at any given time. Which inequality represents this situation?
1. c>20
2. c≥20
3. c≤20
5. c<20
Answers
Answer:
3
Step-by-step explanation:
It is number one.
if there are no more than 20, that means there are less. If one doesnt work try number 2.
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y=1x-8
Step-by-step explanation:
the y intercept is the b in y=mx+b
round to the nearest hundredths
683.004
Answers
Which algebraic expression means ""three more than a number squared""? 2 n 3 2 n minus 3 n squared 3 n squared minus 3.
Answers
The expression which is stated that three more than a number squared is written as n² + 3.
What is an Algebra equation?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Let the number be n.
The square of the number n is given as n².
This number is more than 3 then the number will be
n² + 3
The expression which is stated that three more than a number squared is written as n² + 3.
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Decrease £40 by 25%
(Hegarty maths)
Answers
Answer:
the answer to your question is 10
Step-by-step explanation:
if you divide 40 by 25% then you will get 10