The length of a line segment is 13 units one end point of a line segment is(-3,7) find four. Second being the other and points of the line segment
Answers
Final answer:
The question involves finding the coordinates of the second endpoint of a line segment with a known length and one endpoint, which can be solved using the distance formula or the Pythagorean theorem. Two-dimensional path questions often require calculating straight-line distances by applying the Pythagorean theorem to right triangle setups. In coordinate geometry, the position vector describes a point's location, with its magnitude being the straight-line distance to the origin.
Explanation:
The student is likely asking to find possible coordinates for the other endpoint of a line segment with a known length and one given endpoint. To solve such problems, we typically use the distance formula, which is based on the Pythagorean theorem to determine the coordinates of the second point. For instance, if the line segment is horizontal or vertical, we would just add or subtract the length from the appropriate coordinate of the known endpoint. However, if the line segment is diagonal, we would need to determine the direction and apply the length as the hypotenuse of a right triangle, then calculate the second point's coordinates using trigonometric ratios or algebraic manipulations based on the Pythagorean theorem.
A two-dimensional path problem typically requires the use of the Pythagorean theorem to find the straight-line distance between two points, such as after walking a certain number of blocks east and north. By constructing a right triangle with the walked blocks forming the legs, the hypotenuse represents the straight-line distance.
The coordinates of a point in two or three dimensions can be interpreted as components of a vector, known as the position vector. This vector has both magnitude and direction, with its magnitude representing the straight-line distance from the point to the origin, calculable through the Pythagorean theorem by taking the square root of the sum of the squares of the coordinates.
Related Questions
Jason uses the polynomial identity (x−y)^2=x^2−2xy+y^2 to show that 6² = 36.
Answers
plug in 8 into x and 2 into y
(8-2)^2 = 8^2 - 2(8)(2)+ 2^2
6^2 = 64 - 32 + 4
36 = 68 - 32
36 = 36 True
hope this helps
Write a rule for dividing a positive and negative decimal
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During Tracy’s trip across the country , she traveled 2884 miles . Her trip took
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expand and simpilify
(3x-2)^2-(x+6)(x-8)
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=3^22^2-(x+6)(x-8)
=9x^2-(x+6)(x-8)
=9x^2-x^2+2x+48
=8x^2+2x+48
= 9x^2 - 12x + 4 -(x^2 +6x -8x - 48)
= 9x^2 - 12x + 4 - x^2 + 2x + 48
= 8x^2 - 10x + 52
hope it helps
There is a special at the store: $34 for 7 roses. Harry is trying to figure out if it's a good deal. Help Harry figure out the unit price (round to 2 decimal places)
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7 roses= $34
1 rose= $34 / 7
= $4.857142857(this is what I got from the calculator)
= $4.86(to 2 decimal places)
I hope this helps
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The following question has two parts. First, answer part A. Then, answer part B.
Part A
A high school athlete ran the 100 meter sprint in 13.245 seconds. Round the time to the nearest tenth. Enter the answer in the box.
Part B
Explain how you arrived at the answer. Include any rules that you followed.
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And the answer to Part B is hen you round to the nearest 10th the steps are nearly always the same:Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.
Is 4.25 a rational number integer or whole number??
Answers
4.25 is a rational number
A rational number is a number that can be expressed as a fraction of two integers
Examples of rational numbers are , [tex]\frac{1}{4} \frac{2}{3}[/tex]
4.25 can be rewritten as [tex]4\frac{1}{4}[/tex]
An integer is a number without fractions or decimals
For example, integers are 2, - 1000
A whole number is a number that is a positive integer. It does not include negative numbers, fractions or decimals.
Examples are 1, 2, 10
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PLS HALP MEH!!!! A soccer ball is kicked from the ground in an arc defined by the function,h(x) = -2x^2 + 8x. What is the height of the ball after 3 seconds?
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-2(9) + 24
-18 + 24
h(3) = 6
Answer:
6 feet
Step-by-step explanation:
A soccer ball is kicked from the ground in an arc defined by the function,
[tex]h(x) = -2x^2 + 8x[/tex]
h(x) is the height of the ball and time is t.
we need to find out the height when t= 3 seconds
Plug in 3 for t
[tex]h(x) = -2x^2 + 8x[/tex]
[tex]h(3) = -2(3)^2 + 8(3)[/tex]
[tex]h(3) =-18+24=6[/tex]
The height of the ball after 3 seconds is 6 feet.
Find the product and explain the process and reasoning of $0.79*3.7
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what statement describes the relationship between ∆ XYZ and ∆ X'Y'Z'?
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Solve. 6(x+20)=168
A) x=4 2/3 B) x=8
C) x=24 2/3 D) x=28
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6(20 + x) = 168 (20 * 6 + x * 6) = 168 (120 + 6x) = 168
120 + 6x = 168
120 + -120 + 6x = 168 + -120
0 + 6x = 168 + -120 6x = 168 + -120
6x = 48
x = 8
6x+120=168
-120=-120
__________
6x. =48
/6. /6
x=8
math question down below
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3
1
5
2
3
9
1
-1
-1
Total: 22
(b) The actual total is $21.77 which rounds to $22, the same as the estimate, so the estimate is reasonable.
So: add up $3, $1, $5, $2, $3, $9, $1, -$1, -$1
Compare your result to the register sum, $21.77.
How close was your estimate to $21.77? Justify your answer.
$6,285÷y=700 y is about
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hope i help
8) It costs a band $8 per T-shirt produced. At a small festival the band gives away 10 T-shirts, and sells others for $20 each. Their total T-shirt-related profits (taking into account those they gave away) is $304, how many T-shirts did the band sell?
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if after the concert, their profit is 304$ then I believe the way to solve it would be 304/12 which equals 25.3
However, they did not make a profit off of the 10 shirts that they gave away. 10*12 equals 120
304-120 equals 184
184/12 equals 15.
Your answer should be either 25 or 15
Rita ran 5 miles in 48 minutes .What was her time per mile?
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I figured this out by dividing 48 by 5.
I hope this helped! :))
Part A: Using the graph above, create a system of inequalities that only contains points D and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)
Part B: Explain how to verify that the points D and F are solutions to the system of inequalities created in Part A. (3 points)
Part C: Chickens can only be raised in the area defined by y > 2x − 2. Explain how you can identify farms in which chickens can be raised. (2 points)
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[tex]y=\frac{-3}{2}x[/tex]
[tex]y=2x[/tex]
The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:
[tex]4 \geq \frac{-3}{2}*2[/tex]
[tex]3 \geq 2*(-2)[/tex]
So our system is:
[tex]y \geq \frac{-3}{2}x[/tex]
[tex]y \geq 2x[/tex]
Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.
Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.
Convert 9 over 16 to a decimal.
A. 0.4225
B. 0.5225
C. 0.5625
D. 0.7455
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Use a bar model to find the unknown value: 3/6 = ?/7
Answers
Multiply x and 6, 3 and 7:
6x = 7*3
x = 21/6
x = 7/2
The solution to the problem 3/6 = ?/7 when using a bar model to visualize it, is 3.5. This can be calculated by understanding equivalency between fractions.
Explanation:To solve this problem using a bar model, imagine dividing a bar into 6 equal parts (representing the denominator of the fraction on the left). If 3 of those parts (representing the fraction’s numerator) equals 3/6 or 0.5. Now, we want to know how many sevenths would be equivalent to that same amount. Since 1/2 is equivalent to 3.5/7, the answer to the question 3/6 = ?/7 would be 3.5.
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What is the equation in point slope form of the line that passes through the point (2,6) and has slope of 5?
A: y+2=5(x+6)
B: y-6=5(x-2)
Answers
2 + 1 = x2 and 6 + 5 = y2 because the slope is 5/1.
Next you can write the equation in point-slope form (remember point-slope form is y - y1 = m(x - x1):
y - 11 = 5(x - 3)
Another equation would be B because B is the correct equation if you choose 2 as x2 and 6 as y2.
Hope this helps!
The equation of the line that passes through the point (2,6) and has slope of 5 is Option B:
y - 6 = 5 ( x - 2 )
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
Given data ,
Let the point be P( x₁ , y₁ ) = P( 2 , 6 )
Slope m = 5
Now , the equation of line is given by the equation
y - y₁ = m ( x - x₁ )
Substituting the values of x₁ , y₁ and m in the equation , we get
y - 6 = 5 ( x - 2 )
Therefore , the equation of the line is y - 6 = 5 ( x -2 )
Hence , equation of the line that passes through the point (2,6) and has slope of 5 is y - 6 = 5 ( x - 2 )
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Your office manager has given you a budget of $30,000 to replace the old computers in your office with new ones. Each new computer will cost $550. You make a quick count and determine that 15 computers will need to be replaced. How much money will be left (per week) for the next six weeks?
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1) 550 x 15 = 8250 (First you want to get the total cost of the computers)
2) 30,000 - 8250 = 21,750 (Then you want to subtract that by 30,000 to see how much money is left over)
3) 21,750/6 = 3625 (Then divide by 6 ,by the weeks, and get your answer)
Answer: $3625
The greatest common factor of 60w^5 y^3 and 78wy^2 is _____.
2wy^2
6wy^2
6w^5y^3
13w^5y^3
will mark best answer!
Answers
Answer: The required greatest common factor of the given expressions is [tex]6wy^2.[/tex]
Step-by-step explanation: We are given to find the greatest common factor of the following two expressions :
[tex]E_1=60w^5y^3,\\\\E_2=78wy^2.[/tex]
The factorization of the given expressions can be written as :
[tex]E_1=2^2\times3\times5\times w^5\times y^3,\\\\E_2=2\times3\times13\times w\times y^2.[/tex]
Therefore, the greatest common factor of the given expressions is
[tex]GCD(E_1,E_2)=2\times3\times w\times y^2=6wy^2.[/tex]
Thus, the required greatest common factor of the given expressions is [tex]6wy^2.[/tex]
Euler's formula, V − E + F = 2, relates the number of vertices V, the number of edges E, and the number of faces F, of a polyhedron. Solve Euler's formula for E.
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To solve Euler's formula for the number of edges E, you rearrange the formula to E = V + F - 2. This solution requires the basic operations of adding and subtracting from both sides of the equation.
Euler's formula states that V (vertices) minus E (edges) plus F (faces) equals 2 for any polyhedron without holes. Therefore, to solve for E, we need to rearrange the equation as follows:
Starting with the original formula: V - E + F = 2.
Add E to both sides: V + F = E + 2.
Subtract 2 from both sides to solve for E: E = V + F - 2.
This rearranged formula gives us the number of edges E in terms of the number of vertices V and the number of faces F.
The formula for the number of edges (E) in terms of the number of vertices (V) and faces (F) is E = 2 + V - F.
To solve Euler's formula V − E + F = 2 for E, we need to isolate E on one side of the equation. Here's how we can do that:
Add E to both sides of the equation to move the term containing E to one side:
V − E + F + E = 2 + E
V + F = 2 + E
Subtract V and F from both sides:
V + F - V - F = 2 + E - V - F
0 = 2 + E - V - F
Rearrange the terms:
2 = E - V + F
Finally, isolate E by adding V and subtracting F from both sides:
E = 2 + V - F
Therefore, the formula for the number of edges (E) in terms of the number of vertices (V) and faces (F) is E = 2 + V - F.
I need help on 4, 5, and 6
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7/11 - 3/10 = 70/110 - 33/110 = 37/110
5. The LCD is 24
11/12 - 1/8 = 22/24 - 3/24 = 19/24
6. The LCD is 20
15/20 - 1/5 = 15/20 - 4/20 = 11/20
Which term correctly labels the blank in the graphic organizer above? A. square B. quadrilateral C. pentagon D. triangle
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The term that correctly labels the blank in the graphic organizer depends on the specifics of the organizer itself. It could either be a square, quadrilateral, pentagon, or triangle.
Explanation:
Without seeing the graphic organizer, it is difficult to provide a specific answer. However, each option represents a different type of bidimensional figure in mathematics. A square is a specific type of quadrilateral with all sides equal and all angles being 90 degrees. A quadrilateral is a polygon with 4 sides, which can be of different lengths and angles. A pentagon is a polygon with 5 sides. A triangle is a polygon with 3 sides. Depending on what the graphic organizer is showing, any one of these could be the correct answer.
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Answer:B Quadrilateral
Step-by-step explanation:
Answer:B Quadrilateral
Step-by-step explanation:
Write the expression for a number used as a factor fifteen times being multiplied by a number used as a factor ten times. Then, write the product as one power.
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The answer is: X^15 * X^10 = X^25
PS: You don't multiply exponents, you add them.
The expression for a number used as a factor fifteen times being multiplied by a number used as a factor ten times is: [tex]X^{15} \times X^{10} = X^{25}[/tex]
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
We need to write the expression for a number used as a factor fifteen times being multiplied by a number used as a factor ten times.
Then, also write the product as one power.
This is exponents so, a number used as a factor fifteen times is X^15.
Then we have to multiplied by a number used as a factor ten times is X^10.
Therefore, the final expression form as;
[tex]X^{15} \times X^{10} = X^{25}[/tex]
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What can 16 over 49 be simplified to?
Answers
it is 0.326531 in decimal form
hope this helps
—— = 0.32653
49
Initially a pool contains 250 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.4 gallons of water per minute. Write a linear model that represents the amount of water, V, in the pool as a function of time, t, in minutes.
Answers
It would take 46.9 minutes to fill up the pool
Answer:
The amount of water in pool after t minutes V = 250 + 5.4 t
Step-by-step explanation:
Amount of water in pool = 250 gallons.
The hose adds 5.4 gallons of water per minute.
Rate at which hose is adding water = 5.4 gallons per minute
We need to write a linear model that represents the amount of water, V, in the pool as a function of time, t, in minutes
We have
V = 250 + 5.4 t
The amount of water in pool after t minutes V = 250 + 5.4 t
Alice serote the prime factorization of 40 as 2x2x4x5. is she correct? if not what is the prime factorization of 40? explain
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Answer:
2.2.2.5
Step-by-step explanation:
What is 156.16 divided by 8
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Hopefully this has helped! :)
8439 divided by 245 with remainder
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into 84? none.
into 843? 3
So the first digit of the quotient is 3. Mult. 245 by 3, getting 735. Subtr. this amount from 843. Result: 108. How many times does 245 go into 108?
none. Bring down a zero, forming 1080. How many times does 245 go into 1080? 4, with remainder 100. And so on.
Please try doing this problem yourself, by hand.
________________
245 / 8439.00
-735
----------------
Can you finish this? Note that 843-735 is 108. Bring down a zero now, to form 1080. show your work.
Answer:
The remainder of 8439 divided by 245 is 109.
Step-by-step explanation:
Given two numbers as 8439 and we have to divide it by 245.
That is , Dividend = 8439
Divisor = 245
Solution:
Using division algorithm,
Dividend = ( Divisor * Quotient )+Remainder
8439 = (245*34)+Remainder
8439 =8330+Remainder
Taking 8330 to other side to find the remainder, we have
8439 -8330 = Remainder
109 = Remainder
Thus The remainder of 8439÷245 is 109.