The point (2, -3) is the midpoint of segment JK .
Point K is located at (-6, -3).
What is the length of segment JK ?
Answers
The required length of line segment JK would be 16 units.
The midpoint of a line segment is the point that divides the line segment into two equal parts. So, to find the length of the line segment JK, we can first find the coordinates of point J, which is the other endpoint of the line segment.
Let the coordinate of the point J would be (x, y)
Since the midpoint of the line segment is (2, -3), and point K is located at (-6, -3), we can use the midpoint formula to find the coordinates of point J:
2 = (x+(-6))/2 ; -3 = (y+(-3))/2
4 = x - 6 ; -6 = y -3
x = 10 ; y = -3
So the coordinate of the point J :(10, -3)
Now that we have the coordinates of both endpoints of the line segment, we can use the distance formula to find the length of the line segment:
length = √((10 - (-6))² + (-3 - (-3))²)
= √((10 + 6)² + (-3 + 3)²)
= √(16² + 0)
= √(256)
= 16
Therefore, the length of line segment JK is 16 units.
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Related Questions
Describe the translation below using words and then write a rule for it.
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find the quotient 12/15÷6/11
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Step-by-step explanation:
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what is the slope of the graph in the picture?
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Seeing how it’s a positive line and you can’t see the other numbers but you can see that it’s going up by 2 every time
Answer:
slope is 2
Step-by-step explanation:
Pick any two points
say point (0,0) and point (2, 4)
to find slope, subtract the x and y coordinates as a fraction.
y on the top, x on the bottom
y/x = (4 -0)/ (2-0) = 4/2 = 2
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Solve 5a - 2b =7 and 5a + 2b =14 simultaneously
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Hey can someone tell me what -3x^2(14x^2-2x-8) equals
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Answer:
-42x^4 + 6x^3 + 24x^2
Step-by-step explanation:
Simplify the following rational expression and express in expanded form.
6
m
2
−
5
m
y
−
y
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Answer:
6m²-5my-12m
Step-by-step explanation:
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Answer:
On khan Academy,
it is m-y/2
what is the awnser to 65.9- 45.902=
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Answer:
19.998? or is there something else to it
(x^10)^2/x4 simplify
Answers
Answer:
x^16
Step-by-step explanation:
=> x^20 / x^4
=> x ^ 20-4
=> x^16
Please mark my answer as the brainliest for further answers :)
PLEASEPLEASE ANSWER
and if i get any more bots answering with links im gonna cry ive put this question 5 times
Answers
Answer:
x = 7
Step-by-step explanation:
A triangle's total interior angle measurement will equal 180°.
Set all measurements equal to 180:
(82) + (9x - 6) + (6x - 1) = 180
Simplify. Combine like terms:
(82 - 6 - 1) + (9x + 6x) = 180
(82 - 7) + (15x) = 180
(75) + 15x = 180
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, Subtract 75 from both sides of the equation:
15x + 75 = 180
15x + 75 (-75) = 180 (-75)
15x = 180 - 75
15x = 105
Next, divide 15 from both sides of the equation:
(15x)/15 = (105)/15
x = 105/15
x = 7
7 is your value for x.
~
Let A = (3,5,7,9,11,13) B=( 3,5,9,11) , C=(5,9,13)
(13)=B
A. True
B. False
Answers
What type of transformation has occurred from f(x) to g(x) on the graph below? (please help ASAP will give brainliest!!)
Rotation
None of these
Reflection
Translation
Answers
Answer:
defenitely not reflection im thinking either a or b leaning more towards a tho
Step-by-step explanation:
Answer:
ROTATION
Step-by-step explanation:
I GOT IT CORRECT ON TEST :))
Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?
Answers
Answer:
By 2020, there will be 1,147 species of birds left
Step-by-step explanation:
The general model for an exponential decrease is;
y = I(1 - r)^t
where in this case;
y is the number of bird species at a particular decade from the initial
I is the number of birds initially at 1990
r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015
t in this case will be the number of decades after the initial
Mathematically, a decade is 10 years
The difference between 2020 and 1990 is 30
The number of decades in 30 years is 30/10 = 3
so t will be 3 here
Substituting these values into the equation, we have
y = 1200(1-0.015)^3
y = 1200(0.985)^3 = 1,146.8
To the nearest whole number, this is 1,147
Joseph bought a fish tank shaped like a rectangular prism with the dimensions shown below. What is the area in square inches of the shaded top of the rectangular prism?
Answers
Answer:
The surface area is 310 square inches
Step-by-step explanation:
Given [Missing dimensions]
[tex]L = 5in[/tex] -- Length
[tex]W = 10in[/tex] -- Width
[tex]H = 7in[/tex] -- Height
Required
Determine the surface area
The surface area (A) of a rectangular prism is:
[tex]A = 2(LW + LH + HW)[/tex]
[tex]A = 2*(5*10 + 5*7 + 7*10)[/tex]
[tex]A = 310in^2[/tex]
Katia is baking. She uses 2 ⅛ cups of sugar for cookies and 1 ⅗ cups of sugar for a cake. How much total sugar did Katia use?
Answers
Answer:
3.725
Step-by-step explanation:
because you add 2.125 (2 1/8) and 1.6 (1 3/5) to get 3.725
find the value of each variable
Answers
A company is going to make a storage container with sheet steel walls The container will be in the shape of a rectangular prism If the sheet steel costs 30 for each square meter how much will the sheet cost it total The sides are 7m 3m and 3m
Answers
Answer:
3060
Step-by-step explanation:
First we need to calculate the total surface area of the prism
TSA = 2(lw+wh+lh)
l is the length of the prism
w is the width of the prism
h is the height of the prism
Let
L = 7m
W = 3m
H = 3m
Substitute
TSA = 2(7(3)+3(3)+7(3))
TSA = 2(21+9+21)
TSA = 2(30+21)
TSA = 2(51)
TSA = 102m²
Hence the total surface area of the prism is 102m²
Since sheet steel costs 30 for each square meter, then;
1m² = 30
102m² = x
Cross multiply
x = 30*102
x = 3060
Hence the sheet with the dimension will cost 3060
Write the equation of the line that passes through the points (3, 4) and (5, 8)
Answers
Answer:
y=2x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-4)/(5-3)
m=4/2
m=2
y-y1=m(x-x1)
y-4=2(x-3)
y=2x-6+4
y=2x-2
Help Please I put 70 pts on this
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answers
Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
Step-by-step explanation:
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.
__
B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
_____
* If we take the peak profit to be $270, we can write f(x) as ...
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.
Step-by-step explanation:
A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.
B) The value of f(1) from the graph to be about 120, so the average rate of change is about.
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
If we take the peak profit to be $270, we can write f(x) as:
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.
To know more about graphs follow
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2 + 1.25f = 10 - 2.75f
Answers
Answer:
F=2
Step-by-step explanation:
1.25f+2.75f=10-2
calculate like terms
4f=8
divide
F=2
r+b=7
3.75r+2.75b=22.25
Answers
Answer:
Step-by-step explanation:
hello :
r+b=7... (*)
3.75r+2.75b=22.25.... (**)
use (*) : r = 7 - b
put this value in (**) :
3.75(7 - b)+2.75b = 22.25
26.25 -375b +2.75b = 22.5
-375b +2.75b = 22.5 - 26.25
- b = -3.75
so : b = 3.75
but : r = 7 - b
r = 7 - 3.75
r = 3.25
Plz make sure when you put an answer it is correct I’ll give you brainliest !
Answers
Answer:
C. 35 degrees
Step-by-step explanation:
Answer:
35 is your answer 21 plus 51 plus 73 plus 35
it earned 32000 per month has been One by fourth of his income on food 3y 10 of the remainder on house rent and 5 by 21 of the remainder on the education of children how much money is still life with him
Answers
9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende con una aceleración de 4 m/s2 b) Cuando asciende con una aceleración de 6 m/s2 c) Explique: ¿Por qué el ascensor experimenta diferentes aceleraciones si levanta el mismo peso en ambos casos?
Answers
Answer:
a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.
b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.
c) Por la fuerza de tensión sobre el cable del ascensor.
Step-by-step explanation:
a) La fuerza neta experimentada por el ascensor ([tex]F[/tex]), en newtons, es:
[tex]F = m\cdot a[/tex] (1)
Donde:
[tex]m[/tex] - Masa, en kilogramos.
[tex]a[/tex] - Aceleración, en metros por segundo cuadrado.
Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = 4\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:
[tex]F = m\cdot a[/tex]
[tex]F = 600\,N[/tex]
La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.
b) Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = -6\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:
[tex]F = m\cdot a[/tex]
[tex]F = -900\,N[/tex]
La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.
c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.
Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.
Answers
Answer:
x = 2, y = -1
Step-by-step explanation:
Assuming it should be y not g
y = -2x + 3
-2y = -6x + 14
y = 3x - 7
-2x + 3 = 3x - 7
10 = 5x
x = 2
y = -1
Which is greater -9/6 or 3/-2
Answers
Answer:
Step-by-step explanation:
-9/6 im not sure so dont get mand if im wrong
Which expression can be used to find measure angle R
Answers
Answer:
cos-1(-4/14)
Step-by-step explanation:
If
4.5=r
3.5=s
2=t
By law of cosines:
[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]
anybody know how to do this?????
Answers
Answer:
[tex]x = 30[/tex]
Step-by-step explanation:
In order A to be parallel to B, our alternate interior angles must be equal.
This means that
[tex]5x = 3x + 60[/tex]
[tex]2x = 60[/tex]
[tex]x = 30[/tex]
pls help quick what is 1/8+2/5
Answers
Answer:
21/40
Step-by-step explanation: here is a calculator to help you with fractions: https://www.calculatorsoup.com/calculators/math/mixednumbers.php
What are the degree and leading coefficient of the polynomial?
Answers
Answer:
Degree: 9
Coefficient: -1
Step-by-step explanation:
The degree of a polynomial is equivalent to the highest degree of all its terms.
The term with the highest degree in this polynomial is y^9