Which point is one fourth of the way between point A and point B on the line segment AB shown on the coordinate plane below?
Answers
The coordinate of the point between point A and point B on the line segment AB is [tex](\frac 92, -\frac{19}4)[/tex]
How to determine the point?The points are given as:
A = (4,-5)
B = (6,-4)
m : n = 1 : 3
The coordinate of the point is then calculated using:
[tex]P = \frac{1}{m + n}(mx_2 + nx_1,my_2 + ny_1)[/tex]
So, we have:
[tex]P = \frac{1}{1 + 3}(1 * 6 + 3 * 4, 1 * -4 + 3 * -5)[/tex]
Evaluate the sum of product
[tex]P = \frac{1}{4}(18, -19)[/tex]
Evaluate the product
[tex]P = (\frac 92, -\frac{19}4)[/tex]
Hence, the coordinate of the point is [tex](\frac 92, -\frac{19}4)[/tex]
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Related Questions
What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?
Answers
Answer:
1814400
Step-by-step explanation:
A jar contains 8 red marbles, 6 blue ones, and 6 yellow ones. One marble is chosen at random. The color is
recorded in the table, and then it is returned to the jar. This is repeated 40 times.
Red Blue Yellow
11
11
18
Answers
Answer:
Step-by-step explanation:
Comment
The theoretical probabilities are
Red: 8/20 = 0.4
Blue:6/20 = 0.3
yellow:6/20 = 0.3
The experimental Probabilities are
Red: 11/40 = 0.275
blue: 11/40 = 0.275
Yellow: 18/40=0.45
Both probabilities add to 1 as they should
The yellow is the highest disproportionate answer and it really shouldn't be. If anything it should be red. (0.45 > 0.4 comparing yellow experimental with red theoretical. The yellow is way more than it should be)
The number of trials is double the number of marbles in the jar. The number of trials would be double for each color in the jar. Both blanks are double.
1. How many ways can Grant arrange 3 of his 10 plants on a window ledge?
2. A parade organizer received 8 entries for floats. How many ways can he arrange 4 floats out of the 8 entries?
3. Express 4! in expanded form.
4. The number of ways 15 members of a 24-member club can be arranged. ( use permutation notation). PLEASE HELP ME!! and thankyou
Answers
The number of ways that Grant can arrange 3 of his 10 plants on a window ledge is 120 ways
How to solve the combination problem?The number of ways that Grant can arrange 3 of his 10 plants on a window ledge will be:
= 10!/(10! - 3!)3!
= 10!/7!3!
= (10 × 9 × 8)/(3 × 2)
= 120
When the parade organizer received 8 entries for floats, the number of ways that he can arrange 4 floats out of the 8 entries will be:
= 8!/(8! - 4!)4!.
= 8!/4!4!
= (8 × 7 × 6 × 5)/(4 × 3 × 2)
= 70
4! in expanded form will be:
= 4 × 3 × 2
= 24
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The vertices of an isosceles triangle are a(3, 6), b(7, 2), and c(4, 3). what is the equation of the triangle's line of symmetry?
y = x + 1
y = x - 1
y = x
y = -x + 1
Answers
Based on the calculations, the equation of the triangle's line of symmetry is equal to: B. y = x - 1.
How to determine the equation of the triangle's line of symmetry?First of all, we would determine the midpoint where the line of symmetry passes through points A and B:
Midpoint at point A = (3 + 7)/2 = 10/2 = 5.
Midpoint at point B = (6 + 2)/2 = 8/2 = 4.
Point D = (5, 4)
Mathematically, the standard equation of a line is given by y = ax + b.
D(5, 4); 4 = 5a + b ....equation 1.
C(4, 3); 3 = 4a + b ....equation 2.
Subtracting eqn. 2 from eqn. 1, we have:
1 = a
Next, we would find the value of b:
4 = 5a + b
4 = 5(1) + b
b = 4 - 5
b = -1.
Therefore, the equation of the triangle's line of symmetry is given by:
y = ax + b
y = x(1) + (-1)
y = x - 1.
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Make c the subject:
A=b+cd
Answers
All you have to do is this! Please mark me as brainliest
Answer:
C = A/d - b/d or C = (A - b)/d
Step-by-step explanation:
A = b + cd
A - b = cd
A/d - b/d = c
what is the slope of (4, −6) and (0, 2)
Answers
Step-by-step explanation:
please mark me as brainlest
-4.625,-5.2,-4 4/5, -4 8/11 order least to greatest
Answers
Answer:
-4.625, -4 8/11, -4 4/5, -5.2
Step-by-step explanation:
-4 8/11 = -4.72727272723
-4 4/5 = -4.8
Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline as x approaches 0? 0 4 64 128
Answers
The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
Limit of a functionGiven the following limit of a function expressed as;
[tex]\lim_{x \to 0} f(x)=4[/tex]
We are to determine the value of the function
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]
This can also be expressed as
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]
Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
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Anna and Brian share £24.50
in the ratio 2:5. How much
does each person get?
Answers
Brian gets £17.50
2+5=7
24.50 divide 7= 3.50
3.50 x 2 = 7
3.50 x 5 = 17.60
And to check if it’s correct do 17.50 + 7 = 24.50
what letter and the answer
Answers
The average amount of milk used for an orders of pancakes can be found by taking the total number of cups used for the 10 pancakes and take the answer divided by 10 (the amount of total pancakes)
We have 6 of 1/2 cups, 2 of 1/4 cups and 2 of 3/4 cups
So there are a total of [6•(1/2)]+[2•(1/4)]+[2•3/4]=5 cups for the total of 10 pancakes
Therefore, the average amount of milk used for an order of pancakes is 5/10=1/2 cups.
20 divided by tann(45°)
Answers
Answer:
20
Step-by-step explanation:
as we know
[tex] \tan {45}^{0} = 1 \\ [/tex]
20/ 1=20
is correct answer
Pineapples were packed in three large crates. for each crate, the weight of every pineapple in the crate was recorded. here are three box plots that summarize the weights in each crate. select all of the statements that are true, according to the box plots. (select all that apply. ) the weights of the pineapples in crate 1 were the most variable. the heaviest pineapple was in crate 1. the lightest pineapple was in crate 1. crate 3 had the greatest median weight and the greatest iqr. more than half the pineapples in crate 1 and crate 3 were heavier than the heaviest pineapple in crate 2
Answers
the weights of the pineapples in crate 1 were the most variable.The heaviest pineapple was in crate 1.More than half the pineapples in crate 1 and crate 3 were heavier than the heaviest pineapple in crate 2.What are the correct statements?
A box plot is used to study the distribution and level of a set of scores. The box plot consists of whiskers which measure the minimum and maximum numbers. The difference between these numbers is the range which measures variability.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. The difference between the first quartile and the third quartile is the interquartile range.
For the first box plot:
Maximum number = 6Minimum number = 1.5Range = 6 - 1.5 = 4.5Median = 4First quartile = 3Third quartile = 4.5IQR = 4.5 - 3 = 1.5For the second box plot:
Maximum number = 3.5Minimum number = 1 Range = 3.5 - 1 = 2.5Median = 2First quartile = 1Third quartile = 2.5IQR = 2.5 - 1 = 1.5For the third box plot:
Maximum number = 5Minimum number =2.5Range = 5 - 2.5 = 2.5Median = 4First quartile = 3.5Third quartile = 4.5IQR = 4.5 - 3.5 = 1Please find attached the box plots. To learn more about box plots, please check: https://brainly.com/question/27215146
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Can someone please help? This is sooooooooo hard!!! :(
Answers
Answer:
BD = BE
Step-by-step explanation:
If BD = BE , angle BED = angle BDE.
Because they are in a same triangle.
And also they are congruent.
A typewriter types 750 words per hour. If she works for 8 hours a day, find the number of words she type
in a day.
Answers
Answer:
8,000 words
Step-by-step explanation:
If a typewriter types 750 words per hour and she types 8 hours a day she would write 8,000 words a day because 750 x 8 = 8,000.
Does anyone know the answer to this ?
Answers
Answer:
5182
Step-by-step explanation:
To figure out the mean of a number, you must add all of the numbers together and divide by the amount of numbers you added up.
To find the total sum, we just need to reverse this process.
We are already given the final number so all we have to do is multiply the mean by 100 and we have our answer of 5182.
Hope this helps :D
A triangle has a base of 53 and a height of 21. What is the hypotenuse?
Answers
Answer:
Approximately 57
Step-by-step explanation:
The Pythagorean theorem says that a^2+b^2=c^2, where a and b are the base and height, while c is the hypotenuse. 53^2+21^2=2809+441=3250. The square root of 3250 is 57.008771255, which rounded to the nearest tenth is 57. Hope this helped!
Answer:
57.008771255 or 57
Step-by-step explanation:
53^2+21^2=57.008771255^2
Please help me, I have more
Answers
Answer:
i dont have it the answer ofvthis
[tex]1. \frac{1}{3} + \frac{3}{2} + \frac{6}{5} - \frac{1}{2 = } [/tex]
[tex]2. \frac{7}{5} - \frac{4}{2} + \frac{4}{5} - \frac{3}{2} = [/tex]
[tex]3. \frac{9}{8} + \frac{7}{8} - \frac{6}{7} + \frac{8}{7} + \frac{1}{3} = [/tex]
[tex]4. \frac{11 }{8} + \frac{11}{5} + \frac{8}{5} - \frac{9}{6} - \frac{5}{3} = [/tex]
can you please solve it
Answers
Answer:
1. 3.33333333333
2. -1.3
3. 2.61904761905
4. 2.00833333333
Joe started 125 miles in 5 hours. How many miles would travel in 1 hour
Answers
Answer:
Hope this helps :D
Step-by-step explanation:
Explanation on picture
PLEASE HELP!!! LOOK AT PIC PLEASE!!
Answers
Answer: C, D
Step-by-step explanation:
Acute angles of right triangles are complementary, and the sine of an angle is equal to the cosine of its complement.
What is 4 ( x − 1 ) ≥ 2 x + 6 as an improper fraction?
Answers
Answer:
18/5
Step-by-step explanation:
you have to times then divide
Order these numbers from least to greatest. 6.2052, 6.2, 6.75, 6.705
Answers
Answer:
6.2 , 6.2052 , 6.705 , 6.75
Step-by-step explanation:
Least to Greatest!
Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750n. What is the percentage change in volume between cylinders A and B? Cylinder B is 50% smaller than cylinder A. Cylinder B is 75% smaller than cylinder A Cylinder B is 50% bigger than cylinder A Cylinder B is 200% bigger than cylinder A
Answers
Answer: Cylinder B is 50% bigger than cylinder A
Cylinder A volume:
= πr²h
= π(10)²(5)
= 500π
Cylinder B volume:
= 750π
Cylinder B bigger than Cylinder A by:
= (750π - 500π)/500π × 100 = 50%
[tex]\hrulefill[/tex]
Hence, cylinder B is bigger than cylinder A by 50%
Answer:
Cylinder B is 50% bigger than Cylinder A
Step-by-step explanation:
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Cylinder A
Given:
r = 10 inh = 5 inSubstituting the given values into the formula:
[tex]\implies \sf Volume_A=\pi (10)^2(5)=500\pi \:in^3[/tex]
Cylinder B
Given:
volume = 750 in³[tex]\implies \sf Volume_B=750\pi \:in^3[/tex]
Percentage Change
[tex]\begin{aligned}\sf percentage\:change & =\sf \dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{Volume_B-Volume_A}{Volume_A} \times 100\\\\& = \sf \dfrac{750\pi-500\pi}{500\pi} \times 100\\\\& = \sf \dfrac{1}{2} \times 100\\\\& = \sf 50\%\end{aligned}[/tex]
Therefore, Cylinder B is 50% bigger than Cylinder A
A motorbike was discounted by 10% and sold for $5220. What was the cost of the motorbike before the discount was applied?
Answers
So the motorbike was discounted by 10% and sold for $5220, that means $5220 is 90% of x. Let x be the original value. Now, set up a proportional equation. 5220/90=x/100. Multiply 5220 by 100, that will give you 522,000. Now let’s divide that by 90, and the answer will be $5800.
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
Answers
Therefore, 110 calories are in 1 serving of milk.
Given, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda.
Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk.
Marian consumes 510 calories by drinking 3 servings of milk and 1 soda.
What are Linear Programming problems?Linear programming, commonly known as LP, is a straightforward technique for representing complex real-world interactions by means of a linear function.
Now,
Let the calories in one serving of milk be x
Let the calories in one serving of juice be y
Let the calories in one serving of soda be z
For Joe, the equation to show the amount of calories is
2x + y + z = 530 -----(1)
For Darius, the equation to show the amount of calories is
x + 2y = 370 ------(2)
For Marian, the equation to show the amount of calories is
3x + z = 510 ------(3)
Now, y=370/2-x/2 and z=510-3x substitute in the equation 2x + y + z = 530.
2x+185-0.5x+510-3x=530
⇒695-1.5x=530
⇒1.5x=165
⇒x=110 calories
Hence, 110 calories are in 1 serving of milk.
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Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)
Answers
Answer:
-16n-41
Step-by-step explanation:
Answer:
-16n - 41
Step-by-step explanation:
(2 • (-n - 3)) - 7 • (2n + 5)
-n - 3 = -1 • (n + 3)
-2 • (n + 3) - 7 • (2n + 5)
-16n - 41 = -1 • (16n + 41)
Use the leading term for your answer
-16n - 41
The equation of a circle is given below:
x squared minus 8 x plus y squared plus 6 y minus 11 equals 0
Identify the center and radius of the circle.
Group of answer choices
center: left parenthesis 4 comma minus 3 right parenthesis
radius: 6
center: left parenthesis negative 8 comma 6 right parenthesis
radius: 6
center: left parenthesis 4 comma minus 3 right parenthesis
radius: 36
center: left parenthesis negative 8 comma 6 right parenthesis
radius: 36
Answers
The center of the circle will be (4, -3) and the radius of the circle will be 6 units. Then the correct option is A.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The equation is given below.
x² - 8x + y² + 6y - 11 = 0
x² - 8x + y² + 6y = 11
Then the center and the radius of the circle will be
x² - 8x + 16 + y² + 6y + 9 = 11 + 16 + 9
(x - 4)² + (x + 3)² = 36
(x - 4)² + (x + 3)² = 6²
Thus, the center and the radius of the circle will be (4, -3) and 6 units respectively.
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Select the elements in A.
A = {x: 10 < x < 30}
= {x:x is a square number}
Answers
Answer:
A= 4,5
Step-by-step explanation:
the required ans is above
Answer:
[tex]\{ 16, 25\}[/tex]
Step-by-step explanation:
[tex]x~ \text{is a perfect square and}~ 10 < x < 30 \\\\\text{The possible values of x are}:\\\\4^2 = 16\\\\5^2 = 25[/tex]
In a coin box there are 20-cent, 50-cent and $1 coins. The number of 20-cent coins is 2x, the number of 50-cent coins is y and the number of $1 coins is 4x. If the total value of the coins is $58.80, what is the total number of coins?
Answers
13 coins (50 cent)
24 coins (20 cent)
Which rule describes a translation 3 units down?
A (x, y) → (x+3, y + 3)
B (x, y) → (x, y - 3)
(x, y) → (x, y + 3)
D (x, y) → (x, -3y)
Answers
B; the y axis is what moves up and down