Answer:
u = 2T - v[tex]T = \frac{u + v}{2} [/tex]
Cross multiply
We have
2T = u + v
u + v = 2T
Move v to the right side of the equation to make u stand alone
We have the final answer as
u = 2T - vHope this helps you
can someone help me with this question
Answer: a (see explanation below) .b.) rhombus .c) trapezoid in USA or trapezium elsewhere in the world
Step-by-step explanation:
For a.) Draw a horizontal from the bottom vertex, extending 2 units to the right. Then form a triangle by connecting a line from the right end of that line up to the right angle at the top of the original triangle
As per the given diagram
(a) represents a parallelogram not rectangle as shown in construction.
(b) Shape made by three congruent triangles on the grid below represents trapezium.
(c) Four congruent triangle in the grid below represents rhombus.
What are congruent triangles?"Two triangles are said to be congruent if the measure of all the three corresponding sides and angles of one triangle are equal to that of other triangle."
According to the question,
(a) First diagram we have to construct a triangle with given triangle in such a way it forms a parallelogram but not rectangle.
As shown in the constructed diagram.
(b) In the fourth diagram given quadrilateral having one pair of parallel line , therefore trapezium.
(c) In the second diagram all the four sides are congruent and parallel to each other and diagonals bisects each other at 90°, therefore it is rhombus.
Hence, (a) as shown in construction ,(b) trapezium and (c) rhombus is the correct answer.
Learn more about congruent triangles here
https://brainly.com/question/12413243
#SPJ2
What is the product of 6x – y and 2x – y + 2? 8x2 – 4xy + 12x + y2 – 2y 12x2 – 8xy + 12x + y2 – 2y 8x2 + 4xy + 4x + y2 – 2y 12x2 + 8xy + 4x + y2 + 2y
Answer:
(6x – y) * (2x – y + 2) =12x2 – 8xy + 12x + y2 – 2y
Step-by-step explanation:
(6x – y) * (2x – y + 2)
= 6x*(2x – y + 2) - y*(2x – y + 2)
= 12x^2 - 6xy + 12x - 2xy + y^2 -2y
= 12x^2 + 12x - 8xy - 2y + y^2
Out of the answer choices:
8x2 – 4xy + 12x + y2 – 2y
12x2 – 8xy + 12x + y2 – 2y
8x2 + 4xy + 4x + y2 – 2y
12x2 + 8xy + 4x + y2 + 2y
the second choice is a correct answer.
Answer:
Step-by-step explanation:
B. 12x2 – 8xy + 12x + y2 – 2y
Instructions: Write the explicit rule. Remember to simplify and do not put spaces in your answer. Sequence: 30,0,−30,−60,… 30 , 0 , − 30 , − 60 , … = a n = Answer
Answer:
a(n)=60-30n
Step-by-step explanation:
Equation to use:
a(n) = a(1) + d(n-1)
where a(1) is the first term, d is the common difference between terms, and n is the nth term you are trying to find.
In this case, a(1) is 30, d is -30, and n is just n.
If you plug that into the equation and use the distributive property, you would get: a(n) = 30 -30n + 30.
Adding the two 30's gets you: a(n) = 60 - 30n, which is the solution.
If EB = 5, find the value of CD.
3
CD = [?]
Enter
Answer: 10
Step-by-step explanation:
AB = 2EB
AB=CD
Due to that
Cd = 2EB therefore
CD = 10
The value of CD is 10.
What is perpendicular?Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given:
EB= 5
As, OE is perpendicular to AB
AB = 2EB
Also, AB=CD
so, CD= 2 EB
CD = 2*5
CD= 10
Learn more about perpendicular here:
https://brainly.com/question/18271653
#SPJ2
factor out the greatest common factor. 6x^5-15x^2+12x=?
Answer:
Factor GCF: 3x(2x⁴ - 5x + 4)
Step-by-step explanation:
Simply take out the greatest variable first and then take out the GCF of the numbers to find out factored GCF.
this is the question is Estimate. 9.8 * 5.2 Choose 1 answer: a 5 b 50 c 500 d 5000
Answer: 50
Step-by-step explanation:
I am rounding it to 1 significant figure.
9.8 = 10 (round up when the last digit is 5, 6, 7, 8 or 9)
5.2 = 5 (round down when the last digit end with 0, 2, 3 or 4)
So it now is 10 x 5 = 50
Rounding to 1 significant figure, we get the product of 9.8 * 5.2 is 50. Thus, option B is correct.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
Given product is 9.8 * 5.2
Now we are rounding it to 1 significant figure.
Round up when the last digit is 5, 6, 7, 8 or 9
9.8 = 10
Round down when the last digit end with 0, 2, 3 or 4
5.2 = 5
So, 10 x 5 = 50
Thus, option B is correct.
Learn more about rounding numbers here:
https://brainly.com/question/1285054
#SPJ2
A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations of both the bug and the car
Answer:
acceleration=force/mass
Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.
impulse=change in momentum
The impulse of bug is more and that of car is small.
momentum changes=change in momentum
force=change in momentum/time of contact
the force exerted by car on the bug will be more than the converse
Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.
Step-by-step explanation:
Please explain how you would prove that all circles are similar?
Answer:
Shapes are similar when one can be scaled to be like another one. Circles are always the same shape and they only vary in size. A very small circle can be expanded to be the same size as any other without changing it's shape, only size. However this is not true for ovals since they come in different shapes.
Step-by-step explanation:
Which of the following is not a function?
A. {(4,5), (4,2), (5,4), (2,4)}
B. {(1,2), (2,3), (3,4), (4,5)}
C. {(1,2), (2,3), (3,3), (4,5)}
D. {(4,1), (5,1), (6,1), (7,1)}
Answer:
A
Step-by-step explanation:
it is A for for two outgoing (y)there is one in going(x)
Answer:
The answer is (A)
Step-by-step explanation:
I need the answer to C.
Answer:
The answer to c is an arc
Answer:
it's an arc of the circle.
Step-by-step explanation:
An arc of a circle is a "portion" of the circumference of the circle.
A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? a. 24 b. 42 c. 48 d. 84
Answer:
The approximate area of the hexagon is 42 in²
Now, the length of one side is 4 inches.
Answer:
B. 42 in.^2
Step-by-step explanation:
Just took the Unit Test on Edg (2020-2021)!!
A. True
B. False
Plz answer
Answer:
TRUEStep-by-step explanation:
≅ mens the triangles are congruent (the same arcs and the same sides in both). Basicaly it means they are the same exept its positon (can be mirrored or rotated)
So if ΔDEF is the same as ΔABC and the same as ΔMNO that maens ΔMNO must be the same as ΔABC
{ΔABC≅ΔDEF and ΔDEF≅ΔMNO} ⇒ ΔABC≅ΔMNO
And if ΔMNO is the same as ΔABC and the same as ΔPQR that maens ΔPQR must be the same as ΔABC
{ΔABC≅ΔMNO and ΔMNO≅ΔPQR} ⇒ ΔABC≅ΔPQR
find the length of this
Answer:
Hey there!
We have tan 9= 21/BW
tan 9 (BW)=21
BW= 21/tan 9
BW= 132. 59
Hope this helps :)
Answer:
A- 132.59
Step-by-step explanation:
since we have to find the adjacent and already have the opposite we'll use tanθ = opp/adj
tan(9)= 21/WB
WB = 21/tan(9) (make WB the subject)
WB = 132.5887818 or 132.59
Which of the following pairs of angles are supplementary? Select all that apply.
The supplementary angles are:
<1 and <3
<1 and <4
<2 and <3
<2 and <4
what are supplementary angles?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees.
Given:
As, the supplement angles forms 180 angles.
So, from the angles that are supplementary are
<1 and <3
<1 and <4
<2 and <3
<2 and <4
Learn more about supplementary angles here:
https://brainly.com/question/13045673
#SPJ5
Evaluate the expression. 42−3⋅4+7 Enter your answer in the box.
Answer:
23
Step-by-step explanation:
Here we will use BODMAS
42 - 3⋅4 + 7
42 - 12 + 7
42 - 19 = 23
Answer:
Answer is 11
Step-by-step explanation:
I took the quiz
In a plane, line e is perpendicular to line f, line f is perpendicular to line g, and line h is parallel to line f. which of the following must be true?
Answer:
a). line h is perpendicular to line g
Step-by-step explanation:
In these cases, always make a litle scetch, and just plot what is given.
You can immediately see the answer, which is answer a).
lf h is parallel to f and line f is perpendicular to line g,
then line h is perpendicular to line g.
Find the greatest common factor of 24, 36, and 48. help
Answer:
24, 36, and 48
Step-by-step explanation:
those numbers are the most high common factor of 24, 36, and 48.
Answer:
12
Step-by-step explanation:
1, 2, 3, 4, 6, 8, 12, 24
1, 2, 3, 4, 6, 6, 9, 12, 18, 36
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
hopefully this helped :3
What is the length of the side opposite the 45degree angle
Answer:
In a 45 - 45 - 90 triangle, the legs are equal and the ratio of sides from shortest to longest is 1 : 1 : √2 where 1 are the legs and √2 is the hypotenuse. In this case the leg is 10 / √2 = 5√2.
Suriland cannot both export wheat and keep bread plentiful and affordable in Suriland. Accordingly, Suriland's wheat farmers are required to sell their crop to the government, which pays them a dollar per bushel less than the price on the world market. Therefore, if the farmers could sell their wheat on the world market, they would make a dollar per bushel more, less any additional transportation and brokerage costs they would have to pay.
Which of the following, if true, most seriously weakens the argument?
(A) Suriland's wheat farmers have higher production costs than do farmers in many other wheat-producing countries.
(B) Sale of a substantial proportion of Suriland's wheat crop on the world market would probably depress the price of wheat.
(C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
(D) Suriland is surrounded by countries that do not import any wheat.
(E) The price of a bushel of wheat on the world market occasionally drops below the average cost of producing a bushel of wheat in Suriland.
Answer:
the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
Step-by-step explanation:
The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.
so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.
The mean of 3,x,14,11,13 is 10. find x
what is the solution to the inequality below? 2(x-15)> x/2
Answer:
x>20
Step-by-step explanation:
2(x-15)>x/2
2x-30>x/2
Multiply both sides by 2
4x-60>x
Subtract 4x from both sides
-60>3x
-20<x
Answer: x>20
Answer:
The correct answer is x ≥ 20.
An infinite series is represented by:
Which inequality is represented by the accompanying graph?
Thank you!!!
Answer:
y<3
Step-by-step explanation:
It is y<3 because all areas below y=3 are shaded.
In addition, the line y=3 is dotted, which means it is not part of the inequality (i.e. strict inequality).
If it had been a full line, then it would be y<=3.
HELPPP PLZZZZZZZZZ i will make Brainlynest
Answer:
(11, 3)
Step-by-step explanation:
Plz help I’ll mark Brainlynest
Answer:
36.00 units
Step-by-step explanation:
Lengths of horizontal and vertical segments are easily determined by subtracting coordinates or counting grid squares:
ST = 6 -1 = 5
TR = 5 -(-1) = 6
IP = 1 -(-6) = 7
PE = 2 -(-3) = 5
The lengths of the diagonal segments are found using the Pythagorean theorem. Those lengths are the root of the sum of the squares of the rise and run. As before, you can determine those from counting squares or subtracting coordinates.
RI = √(2^2 +5^2) = √29 ≈ 5.385
ES = √(3^2 +7^2) = √58 ≈ 7.616
Then the perimeter is the sum of segment lengths:
Perimeter = ST +TR +RI +IP +PE +ES
= 5 + 6 + 5.385 +7 +5 +7.616 = 36.001
Rounded to hundredths, the perimeter is 36.00 units.
A straight line passes through the origin and has a gradient of 4. Find the equation
Answer:
y = 4x
Step-by-step explanation:
The slope is 4.
The line passes through (0, 0).
Equation of a line y = mx + b, m is the slope, and b is the y-intercept.
y = 4x + b
Put x and y as 0.
0 = 4(0) + b
0 = b
The y-intercept is 0.
The equation of the line is y = 4x.
Write an equation for the vertical translation y=-2/9 |x| -7; 1 units down
Answer:
y = -2/9 |X| - 8
Step-by-step explanation:
I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.
If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.
Answer:
y=-2/9 |x| -8
Step-by-step explanation:
y = f(x) + C C < 0 moves it down
y=-2/9 |x| -7 Shift down 1 by subtracting 1
y=-2/9 |x| -7-1
y=-2/9 |x| -8
5) El peso en kilos de 9 niños es 15, 25, 17, 19, 16, 26, 18, 19 ,24 a) ¿Cuál es la media y mediana? El promedio es 20 b) ¿Cuál es la mediana si incluimos el peso de otro niño que pesa 43 kg? c) En el segundo caso ¿sería la media aritmética un buen representante de los 10 datos? Argumenta tu respuesta.
Respuesta: 19; 19,89
B) 19 C) No
Explicación paso a paso:
Dados los datos:
15, 25, 17, 19, 16, 26, 18, 19, 24
Reorganizando los datos:
15, 16, 17, 18, 19, 19, 24, 25, 26
Mediana de los datos:
(N + 1) / 2
Donde N = número de observaciones
Mediana = (9 +1) / 2 = 10/2 = 5 a observación = 19.
Media = suma de valores observados / número de observaciones
Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26) / 9
Media = 179/9 = 19.89
B) mediana si se agrega otro niño que pese 43 kg
Los nuevos datos se convierten en:
15, 16, 17, 18, 19, 19, 24, 25, 26, 43
Mediana = (N + 1) / 2
Mediana = (10 + 1) / 2 = 11/2 = 5.5 Como tenemos un decimal:
La mediana será el promedio de la quinta y sexta observación: (19 +19) / 2 = 38/2 = 19
C) No, la media aritmética no parece ser un buen representante de la observación de 10 datos con el valor de peso recién agregado de 43 kg, ya que el valor parece considerablemente más alto que el conjunto de los 9 valores anteriores. Con el peso recién agregado, la media aritmética se convierte en: Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26 + 43) / 10 Media = 222/10 = 22.2
Here is the histogram of the data distribution all websites are One what is the median of this distribution? 7, 9, 5, 4
Answer:
5
Step-by-step explanation:
To find the median of the distribution, since the columns are divided into boxes(segments), we simply count the number of individual boxes
Here, the total number of boxes would be 15 boxes , so we count 7 boxes starting form each of the ends, then the middle box is the median
Counting from each end, the middle box falls on 5 which makes it our median
Answer:
5
Step-by-step explanation:
The awnsers 5
the number 5 is in the middle of all the numbers.
one and two third minus two and two third
Answer:
[tex]1 \frac{2}{3} - 2\frac{2}{3} = -1[/tex]
Step-by-step explanation:
[tex]1\frac{2}{3} - 2 \frac{2}{3\\} \\\\\frac{5}{3} - \frac{8}{3} = \frac{-3}{3} \\ \\\frac{-3}{3} = -1[/tex]
Hope this helps! :)