Answer:
Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result.
Step-by-step explanation:
We must remember that location of midpoint of any line segment can be determined by using this formula in function of the endpoint locations:
[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right)[/tex]
Where:
[tex]x_{M}[/tex], [tex]y_{M}[/tex] - Location of midpoint, dimensionless.
[tex]x_{R}[/tex], [tex]y_{R}[/tex] - Location of endpoint R, dimensionless.
[tex]x_{S}[/tex], [tex]y_{S}[/tex] - Location of endpoint S, dimensionless.
Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result. That is:
[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right) = \left(\frac{x_{S}+x_{R}}{2}, \frac{y_{S}+y_{R}}{2} \right)[/tex]
what is the value of k?
Answer:
k = 10
Step-by-step explanation:
∡ZYX = 180° - 115° = 65° (angles in a line add up to 180°)
*∡ stands for angle.
∑ of ∡Z , Y and X should be equal to 180° (angles in a triangle add up to 180°)
∴ (4k + 5)° + 65° + (6k + 10)° = 180°
10k + 80 = 180
10k = 100
k = 100 ÷ 10 = 10
if the whole numbers are added the sum would be
113.5+22.41
Solve for n 19 + 10n = 7n - 20
Answer:
n = -13
Step-by-step explanation:
19 + 10n = 7n - 20
Subtract 7n from each side
19 + 10n-7n = 7n-7n - 20
19+3n = -20
Subtract 19 from each side
19+3n -19 = -20-19
3n = -39
Divide each side by 3
3n/3 = -39/3
n = -13
∆PQR has vertices P(5, –2), Q(1, –4), and R(3,3).Reflect ∆PQR about the y-axis, translate 4 units down, and reflect about the x-axis.
Answer:
P(-5,6) Q(-1,8) R(-3,1)
The graph of 0.5x - 2y = 3 is shown on the grid.
Which ordered pair is in the solution set of 0.5x – 2y 23?
A(-2, 0.5)
B. (2.1)
C (2, -1)
D. (-2,-0.5)
Answer:
D
Step-by-step explanation:
Hope this helps
X-5(x-1)=x-(2x-3) what does it equal
Answer:
[tex]x = \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]x - 5(x - 1) = x - (2x - 3) \\ x - 5x + 5 = x - 2x + 3 \\ x - 5x + 2x - x= 3 - 5 \\ - 3x = - 2[/tex]
Divide both sides of the equation by -3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} [/tex]
Khloe drove 204 miles in 4 hours. If she continued at the same rate, how long would
it take to travel 765 miles?
Answer:
15 hrs.
Step-by-step explanation:
204/4 = 51 miles per hrour
765/51 = 15 hrs.
Answer:
15
Step-by-step explanation:
I ad this on my hw last week got it right
Esha's class recorded the outside temperature at 9:00 am. every day for two weeks. they make a line plot to show the data. how many marks should be above the 76 on the scale?
Answer:
Step-by-step explanation:
5
PLASE HELPpp it’s due before midnight. change to scientific notation
Q1: 9.6 x 10'7 =
Q2: 2 x 10'-6 =
Answer: Q1: 9.6e7
Q2: 2e-6
Step-by-step explanation: All you do is pretend the 10 insent their and and the e between the first set of numbers and the second number on the second set of numbers. Hope this helped!!!
Help please!!! Thank you
Answer:
multiply 45×20×15
Step-by-step explanation:
you can use calculator
A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided.
input 1 2 3 4 n
output 11 14 17 20
Pls help ASAP just number 11 and show work
Answer:
Length of route that passes the mall= 11 miles
Length of route that passes the theater= 13 miles
Step-by-step explanation:
route to school that passes the mall (highlighted in red)
= (x +1) +(x +2)
= 2x +3
route to school that passes the theater (in yellow)
= (2x +1) +x
= 3x +1
Since the first is 2 miles shorter,
2x +3= 3x +1 -2
Simplify:
2x +3= 3x -1
Bring constants to 1 side, x terms to the other:
3x -2x= 3 +1
x= 4
Substitute x=4 to find the length of each route:
Length of the route that passes the mall
= 2x +3
= 2(4) +3
= 8 +3
= 11 miles
Length of route that passes the theater
= 3x +1
= 3(4) +1
= 12 +1
= 13 miles
Alternatively, length of route that passes the theater
= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.
160+3x=195-2x what is the answer
Answer:
x = 7
Step-by-step explanation:
160+3x=195-2x
Add 2x to each side
160+3x+2x=195-2x+2x
160 +5x = 195
Subtract 160 from each side
160+5x-160 = 195-160
5x = 35
Divide by 5
5x/5 = 35/5
x = 7
What is the maximum number of rectangular blocks measuring 2 by 3 by 4 that can
fit into a box measuring 12 by 21 by 40?
Volume of small box :
[tex]v=l\times b\times h\\\\v=2\times 3\times 4\\\\v=24\ units^3[/tex]
Volume of big box :
[tex]V=L\times B\times H\\\\V=12\times 21\times 40\\\\V=10080\ units^3[/tex]
Number of small boxes that can fit into bigger box :
[tex]n=\dfrac{V}{v}\\\\n=\dfrac{10080}{24}\\\\n=420[/tex]
Therefore , 420 such boxes can fit .
Hence , this is the required solution .
PLEASE HELP! oooooo
Answer:
The missing value is 41.
Step-by-step explanation:
If r= 3c+5 you plug in the 12, which is c, and the equation becomes r= 3x12+5. 3x12= 36, and 36+5= 41.
Answer:
41
Step-by-step explanation:
because 1=3 so 12=41
hope that helped!
HELPP me please? It’s due today
Answer: same-side interior angles
Step-by-step explanation:
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.
identify the base of the expression x^5
Answer:
Step-by-step explanation:
x·x·x·x·x=x^5
x multiplied 5 times
if 17% of a certian num mber of mangoes is egual to 1360 then find total number of mangoesf
Answer:
If you're trying to find the whole number from a percentage of the number, divide the number by its percent: 1360/17%= 8000. The total number of mangoes is 8000.
Step-by-step explanation:
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf x = 8000 \ mangoes}}}}[/tex]
Step-by-step explanation:
Let the number be x
The given condition is:
=> 17 % of x = 1360
=> [tex]\sf \frac{17}{100} * x = 1360[/tex]
Multiplying both sides by [tex]\frac{100}{17}[/tex]
=> [tex]\sf x = \frac{136000}{17}[/tex]
=> x = 8000
So, total number of mangoes is 8000.
10(-8f +1) – 8(6 f – 4)
Answer:
2(- 64f + 21)
Step-by-step explanation:
10(-8f+1)-8(6f-4)
-80f+10-48f+32
-80f-48f+10+32
-128f+42
hope it helps!
Which table has a constant of proportionality between y and x of 8/5
Answer:
Table 1
Step-by-step explanation:
Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.
Table 1:
4 32/5
10 16
11 88/5
Let's find the constant of proportionality for each row:
R1: (32/5) / 4 = 8/5
R2: 16/10 = 8/5
R3: (88/5) / 11 = 8/5
Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.
If you check the other two tables in the same way, you'll see that neither has a constant of proportionality of 8/5.
Hope this helps!
Answer:
Table 1
Step-by-step explanation:
I just did it on Khan Academy
Parker signed up for a streaming music service that costs $6 per month. The service
allows Parker to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.50 per song. How much total money would
Parker have to pay in a month in which he downloaded 50 songs? How much would
he have to pay if he downloaded s songs?
Answer:
Parker will have to pay $31 in a month in which he downloaded 50 songs.
Total amount Parker will pay for s songs = 6 + 0.50s
Step-by-step explanation:
Cost per month = $6
Cost of Offline download = $0.50 per song
A. How much total money would
Parker have to pay in a month in which he downloaded 50 songs?
Total amount Parker will pay = $6 + $0.50(50)
= 6 + 25
= $31
Parker will have to pay $31 in a month in which he downloaded 50 songs.
B. How much would
he have to pay if he downloaded s songs?
Total amount Parker will pay for s songs = $6 + $0.50 * s
= $6 + $0.50s
Total amount Parker will pay for s songs = 6 + 0.50s
Solve the equation for the variable specified. df + 10h = 3 Solve for d. A. d 3= 10h f B. d. 3- 10h f C. d = 3 - 102 D. d = f(3 – 10h)
Answer:
Step-by-step explanation:
d= (3-10h)/f
I really don't get it plz help
Answer:
Step-by-step explanation:
Change g(n) to y
y = 2n - 2
2y - 2 = n
2y = n + 2
y = (n + 2)/2
g^-1(n) = 1/2n + 1
solution is B
-(-9.8f+7) please help
Answer:
[tex] \frac{7}{5} (7f - 5)[/tex]
Answer:
-9.8f - 7
Explanation:
You distribute the negative to the 9.8f to make it -9.8f, and the 7 to make it -7.
(-9.8f + (-7)) = -9.8f - 7
Read the ruler in millimeters to the correct degree of precision (The ruler is in between the halfmark and the sixth mark on the ruler between 3 and 4)
Answer:
3 1/2
Step-by-step explanation:
Find an equation in slope-intercept form of the line that has slope –9 and passes through point A(-9, - 1).
a. y = -9x - 82
c. y = -9x + 82
b. y = 82x-9
d. y = 9x-82
Answer:
Step-by-step explanation:
y + 1 = -9(x + 9)
y + 1 = -9x - 81
y = -9x - 82
answer is A
Your temperature is 99 degrees during first period. By 7th period,your temperature is 102 degrees. How many degrees did your temperature change? Should you be at school.?
Given :
Temperature at first period , [tex]T_1=99^oF[/tex] .
Temperature at seventh period , [tex]T_7=102^oF[/tex] .
To Find :
The change in temperature .
Solution :
We know , change in temperature is given by the difference between final and initial temperature .
[tex]\Delta T=T_7-T_1\\\\\Delta=(102-99)^oF\\\\\Delta=3^oF[/tex]
So ,the change in temperature is [tex]3^oF[/tex] .
Now , the average body temperature of human body is [tex]98.6^oF[/tex] and [tex]100.4^oF[/tex] is considered a fever .
Therefore , we should not be in school and take rest .
Hence , this is the required solution .
they were 42 mangoes in each crate. 12 such crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many boxes of mangoes were there?
Answer: 50
Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.
a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1 are the two shapes equal in perimeter?
Answer:
yes
Step-by-step explanation:
Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.
Given, A rectangle with sides of length n+2 and n.
∴ Perimeter = 2((n + 2) + n)
= 2(2n + 2).
= 4n + 4.
Also given, A square with sides of length n + 1.
∴ Perimeter = 4(n + 1).
= 4n + 4.
So, yes the two shapes are equal in the perimeter.
learn more about rectangles here :
https://brainly.com/question/6465134
#SPJ2
3(4x-1) greater than or equal to 2(4-x)
Answer:
Greater than
Step-by-step explanation:
First, I solved the expressions.
3(4x-1)=12x-3
2(4-x)=8-2x
12x-3>8-2x
As we can see, 12x-3 is greater than 8-2x.
Step-by-step explanation:
12x - 3 (expand 3(4x-1))
8-2x (expand 2(4-x))
if you assume that x=1 then 12x-3 would be 12(1)-3 then it would be 9 for the first
for the second equation, 8-2x, it would be 8- 2(1) or 6
9>6 so, 3(4x-1) > 2(4-x)