The component form of CD is (0, -4) and linear form is x=2.
The component form represents a vector between two points. To find the component form of CD, we subtract the coordinates of point C from the coordinates of point D:
CD = (2 - 2, -6 - (-2)) = (0, -4).
Therefore, the component form of CD is (0, -4).
The linear form represents the equation of the line that contains the line segment CD.
Since the x-coordinate of both C and D is 2, the line segment CD is a vertical line parallel to the y-axis.
The equation of a vertical line passing through a point with x-coordinate a is given by x = a.
Hence, the equation of the line containing CD is x = 2.
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rob can paint 13 of a room in 2 hours. if tricia can paint 12 of the same room in 5 hours, how many minutes will it take both of them together to paint 23 of the room?
It will take Rob and Tricia 75 minutes to paint 2/3 of the room together. Rob can paint 1/3 of the room in 2 hours, and Tricia can paint 1/2 of the room in 5 hours.
To determine how quickly they can paint the room together, we'll first find their individual painting rates.
Rob's rate: (1/3 room) / (2 hours) = 1/6 room/hour
Tricia's rate: (1/2 room) / (5 hours) = 1/10 room/hour
Now, we'll add their rates together to find their combined rate:
(1/6 + 1/10) room/hour = (5/30 + 3/30) room/hour = 8/30 room/hour
Next, we need to find how long it takes for them to paint 2/3 of the room together:
(2/3 room) / (8/30 room/hour) = (2/3) * (30/8) hours = 5/4 hours
Finally, convert this time to minutes:
(5/4 hours) * (60 minutes/hour) = 75 minutes
So, it will take Rob and Tricia 75 minutes to paint 2/3 of the room together.
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A circle has a radius of square root 131 units and is centered at (0,-4.3).
Whats the equation of this circle?
Answer:
x^2 + (y + 4.3)^2 = 131
Step-by-step explanation:
The basic equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Here the center is (0, -4.3) and the radius is √131. Substituting as indicated, we get:
(x - 0)^2 + (y + 4.3)^2 = 131, or
x^2 + (y + 4.3)^2 = 131
Which set of angles are complementary in this diagram?
Answer:
ECF and BCF (option 3)
Step-by-step explanation:
Complementary angles are angles that have degrees that add up to 90. From the picture, you can see that angle ECF and BCF put together form a right, or 90 degree angle, so that is your answer.
Hopefully this helps - let me know if you have any questions!
solve for x
your answer must be simplified
\( \frac{x }{ - 9} \geqslant 3\)
Answer:
x ≤ -27
Step-by-step explanation:
multiply each side by -9
when multiplying or dividing an inequality by a negative value you must reverse the inequality symbol
What problems came from the borders drawn by Great Britain and France in Southwest Asia?
The borders drawn by Great Britain and France in Southwest Asia (specifically during the period of the Sykes-Picot Agreement and the subsequent mandates) have had various consequences and problems. Here are some of the key issues that arose:
Arbitrary divisions: The borders created by these colonial powers often disregarded existing ethnic, religious, and tribal boundaries.
Creation of unstable states: The borders established by Britain and France created new nation-states, such as Iraq, Syria, Lebanon, Jordan, and Palestine, without taking into account the underlying political, ethnic, and religious dynamics.
Geopolitical rivalries: The borders created by colonial powers also served their geopolitical interests rather than the aspirations and needs of the local populations.
Thus, these problems came from the borders drawn by Great Britain and France in Southwest Asia.
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HURRY HELLLPPP FIND THE AREA
Answer:
A = 84 square inches
Step-by-step explanation:
7 * 24 = 168
168 / 2 = 84
11. Sarah is three years older than Ben. If Ben is 16 years old, how old is Sarah? A. XLVIII D. XIII C. XVI B. XIX E. XX
Answer: B. XIX
Step-by-step explanation: If Sarah is 3 years older than Ben, she is 3 years older than 16. That means she is 19 years old. In Roman numerals, we need to think of it as she is 10+9 years old.
X represents 10.
IX represents 9 Because...
... in order to represent a number less than ten, we need to think about how much less than ten it is. Since 9 is one less than 10, you write it as IX since a smaller numeral in front of X represents subtraction.
So you combine the 10 and 9 to get XIX.
a line and a point are ________ coplanar. a. always b. sometimes c. never (The answer is not A)
whats 10 times 10? also 6 times 6
Answer:
10 x 10 = 100
6 x 6 = 36
:)
Answer:
10*10=100 | 6*6=36
Step-by-step explanation:
Well, 100/10=10
36/6=6
--------------
10+10+10+10+10+10+10+10+10+10=50+50=100
6+6+6+6+6+6=18+18=36
Determine the area of a stage 1 Sierpinski triangle. Let each side be 1 cm long.
Let ABC be a equilateral triangle with each side measuring 1 unit. For this problem, we need to calculate the area of the first-stage Sierpinski triangle. As per the Sierpinski triangle formula, we can construct smaller triangles with the same orientation at the midpoint of each edge, removing the original triangle's central portion.LON
To calculate the area of a Sierpinski triangle, let's consider a stage 1 Sierpinski triangle ABC. We will create three equilateral triangles that are congruent to ABC. We can do so by bisecting the triangle's sides and removing the central triangle.Let AD be a median of triangle ABC. We will draw equilateral triangles ABE, BCF, and CDG on AD, DB, and DC, respectively.The length of a median of a triangle is given by the formula(Length of Median) = [(√3)/2] × (Length of Side)Hence, in triangle ABC, the length of the median is(√3)/2 × 1=√3/2 units.Now, we can use the median AD to calculate the height of triangle ABE and the height of triangle ABE will be(√3)/2 - (1/2)= (√3 - 1)/2We can use the formula for the area of an equilateral triangle which is given by the formulaArea = [(√3)/4] × (Side)²So, the area of triangle ABE is[(√3)/4] × (1)²= (√3)/4Likewise, the area of triangle BCF and triangle CDG will also be (√3)/4Therefore, the area of the stage 1 Sierpinski triangle will be(√3)/4 + (√3)/4 + (√3)/4= (√3)/2 square units.
Long answer:Consider a stage 1 Sierpinski triangle ABC, where each side measures 1 unit. We will create three equilateral triangles ABE, BCF, and CDG that are congruent to ABC. We can do so by bisecting the triangle's sides and removing the central triangle. Let AD be a median of triangle ABC. The length of a median of a triangle is given by the formula(Length of Median) = [(√3)/2] × (Length of Side)So, in triangle ABC, the length of the median is(√3)/2 × 1=√3/2 units.We can use the median AD to calculate the height of triangle ABE. As a result, the height of triangle ABE will be(√3)/2 - (1/2)= (√3 - 1)/2 units.We can use the formula for the area of an equilateral triangle which is given by the formulaArea = [(√3)/4] × (Side)²Thus, the area of triangle ABE is[(√3)/4] × (1)²= (√3)/4 square units.The area of triangle BCF and triangle CDG will also be (√3)/4 since all the triangles are congruent.Therefore, the area of the stage 1 Sierpinski triangle will be(√3)/4 + (√3)/4 + (√3)/4= (√3)/2 square units.
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Please help I need the answer ASAP!!!!!
Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'.
Which rule describes this tranformation?
A rule which best describes this transformation is: A. (x,y) → (x, -y).
The types of transformation.Generally, there are different types of transformation and these include the following:
TranslationDilationRotationReflectionWhat is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Geometry, a reflection over the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative. Therefore, a reflection over the x-axis is given by this rule (x, y) → (x, -y).
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Complete Question:
Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V’W’X’Y’Z’.
Which rule describes this transformation?
A. (x,y) → (x, -y)
B. (x,y) → (x, y+8)
C. (x,y) → (-y, x)
D. (x,y) → (-x, y)
Turn this equation into a sentence: 5x - 8 - 7
Answer:
5 times x minus 8 minus 7
Step-by-step explanation:
whenever you see an x right next to a number, it means that it's being multiplied for that number. For example: 2x mean 2 times x
This symbol - is a minus symbol. So when it's in front of a number, you say "minus" and then the number. For example: 4 - 3 means, Four minus three.
What is the difference between repressed and recovered memories?
Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.
Recovered memory:
The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.
Repressed Memory:
Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.
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3 2/3 x 3 2/3 x 3 2/3
Respuesta
3.2.3⋅3.2.3.3.2.3
best buy has a store brand tv for $700. this is $250 more than 1/4 of the cost of a deluxe model that they also carry. what is the price of the deluxe model that best buy has in their store?
Answer:
1800 Dollars
Step-by-step explanation:
If a 700 dollar tv is 250 dollars more than a quarter the cost of another tv, that means that 700 - 250 = 450, which multiplied by 4 equals 1800 which would be the price of the tv
Answer:
$812.50
Step-by-step explanation:
Make an equation:
700 = 250 + 1/4x
700 is the store brand version250 + 1/4x is the price of the deluxe t.v.Solve:
700 = 250 + 1/4x
-250 -250
------------------------
450 = 1/4x
------ ------
1/4 1/4
112.5 = x
Add:
700 + 112.5 = 812.5
So, the deluxe version is $812.50
Hope this helped.
A nurery owner buy 7 pane of gla to fix ome damage to hi greenhoue. The 7 pane cot $20. 65. Unfortunately, he break 2 more pane while repairing the damage. What i the cot of another 2 pane of gla?
The cost of another 2 panes of glass cost = $5.90.
A nurery owner buy 7 pane of glass to fix some damage to his greenhoue.
The 7 pane cost = $20. 65
First find the cost of one pane of glass (the "unit cost")
7 panes of glass cost $20.65, so one pane of glass costs
= 20.65 ÷ 7
= $2.95 ← cost of one pane of glass
Then use that answer to find the cost of two panes of glass
If one pane of glass costs $2.95, then 2 panes cost
= 2 × $2.95
= $5.90 ← cost of two panes of glass
Hence the answer is the cost of another 2 panes of glass cost = $5.90.
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Evaluate. 58−(14)2= ________
Answer:
the answer for 58-(14)2=
its = 30
Step-by-step explanation:
58-(14)2. It can also be written as 58-2(14)
58-28
= 30
The sum of three numbers is 84, the second number is 2 times the 3rd , the first number is 8 more than the 3rd. What are the numbers
Answer:
a = 27
b = 38
c = 19
Step-by-step explanation:
a + b + c = 84
b = 2c
a = 8+c
8+c +2c+c = 84
4c + 8 = 84
4c = 76
c = 19
b = 2(19) = 38
a = 8 + 19 = 27
Can somebody help me solve
Answer:
\(x \leqslant - 21\)
Write an expression that models the situation. Ruben has 83 red peppers and g green peppers. What is the total amount of peppers?
Answer:
83 + g
Step-by-step explanation:
The total amount of peppers is calculated as:
Number of red peppers + Number of green peppers
Ruben has 83 red peppers and g green peppers.
The total amount of peppers =
83 + g
Therefore, the expression that models the situation =
83 + g
Select the correct answer. ,
Consider function 20 points
Answer:
Z
Step-by-step explanation:
Just graph it bro
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of o°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below O°C (denoted by negative numbers) and some give readings above O C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the temperature reading that separates the bottom 4% from the others. Round to two decimal places. A. -1.48B.-1.89 C. -1.63 D. -1.75
Solution :
It is given that the Precision Scientific Instrument company Manufactures thermometers that provide readings at 0 degree Celsius for the freezing point of water.
A quality control analyst examines the thermometers which provide readings in the bottom of 4%.
Using the standard normal table, we get
P(z < z) = 4%
P(z < z) = 0.04
See the probability of 0.04 in the standard normal corresponding to the z-value is = -1.75
Therefore,
P(z < -1.75) = 0.04
z = -1.75
So the temperature reading that separates the bottom of 4% from the other thermometers is - 1.75°C
Therefore correct option is (D). -1.75
what is 12 + 4y = -4x
Answer:
ummmm
Step-by-step explanation:
u already answer ur own question tho?
Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?
The total weight is 18.5 kilograms
a writer wrote 10,010 words for his book on the first day of writing. he wrote 9,760 words on the second day, 9,510 words on the third day, and continued this way in an arithmetic sequence. write an explicit rule showing the equation for the number of words the writer would write on the 14th day, and solve.
Answer:
rule: an = 10010 -250(n -1)day 14: 6760 wordsStep-by-step explanation:
The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.
Formula for Arithmetic SequenceThe explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...
\(a_n=a_1+d(n-1)\)
ApplicationFor first term a₁ = 10010 and common difference d = -250, the explicit rule is ...
\(a_n=10010-250(n-1)\)
On day 14, n=14, and the number of words written is ...
\(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)
The writer would write 6760 words on the 14th day.
A dive bomber is flying from right to left along the graph of y=x 2. When a rocket bomb is released, it follows a path that is approximately along the tangent line. Where should the pilot release the bomb if the target is at (5,0) ? (Give your answer in the form (∗,∗). Express numbers in exact form. Use symbolic notation and fractions where needed.)
To determine where the pilot should release the bomb, we need to find the tangent line to the graph of y = x^2 at the point (5,0). First, let's find the derivative of the function y = x^2 to determine the slope of the tangent line. The derivative of y = x^2 is given by: \(dy/dx = 2x\)
Next, we can substitute the x-coordinate of the target point (5,0) into the derivative to find the slope at that point: \(dy/dx = 2(5) = 10\) So, the slope of the tangent line at (5,0) is 10. Now, we can use the point-slope form of a linear equation to write the equation of the tangent line: y - y1 = m(x - x1)
where (x1, y1) is the point (5,0) and m is the slope 10. Substituting the values, we have: y - 0 = 10(x - 5) Simplifying the equation, we get: y = 10x - 50 Therefore, the equation of the tangent line to the graph of y = x^2 at the point (5,0) is y = 10x - 50. To find where the pilot should release the bomb, we need to determine the x-coordinate when y = 0 (the target's y-coordinate). Setting y = 0 in the equation of the tangent line, we have: 0 = 10x - 50 Solving for x, we get: 10x = 50 x = 5 Therefore, the pilot should release the bomb at the point (5, 0).
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Jade has 3 bags of apples. There are 6 apples in each bag. Select the three models that represent the number of apples Jade has.
Answer:
6,12,18
3 x 6 = 18
So Jade has 18 apples in total.
Step-by-step explanation:
A.)17.5
B.)20
C.)18
D.)17
Answer: A
Step-by-step explanation: 35 / 2 = 17.5
Answer:
C. is correct
Step-by-step explanation:
i hope this helps :) brainliest please?
solve for x. pls help !!!!!
Answer:
x=5
Step-by-step explanation:
Put everything on one side of the equation and have it equal to 180 degrees.
13x+3+72+8x= 180
Combine like terms
21x+75= 180
Subtract 75 on both sides
21x = 105
Divide by 21 on both sides
x= 5
hope this helped!