The required expression for part A ⇒ 2x(3x-8)
The required expression for part B ⇒2x(3x-8)
Part A:
The area of the rectangular space is given by the expression 6x²-16x, which is equal to the length times the width. We are given that the width of the rectangular space is 2x.
Therefore, we can write:
length x width = area
length x (2x) = 6x²-16x
length = (6x²-16x) / (2x)
Simplify the expression for length by factoring out 2x from the numerator:
length = 2x(3x-8)
So the expression for the length of the rectangular space is 2x(3x-8).
Part B:
To prove that our expression for the length is correct, we can multiply it by the width and show that we get the original expression for the area:
length x width = 2x(3x-8) x (2x)
= 4x²(3x-8)
= 12x³ - 32x²
Now we can compare this result with the original expression for the area, which is 6x²-16x.
We can simplify the original expression by factoring out 2x:
6x²-16x = 2x(3x-8)
We can see that the expression we obtained by multiplying the length and the width is equivalent to the original expression for the area, so our expression for the length is correct.
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''This graph shows parabola y=ax^2+bx+c. What is the possible value of a?''
Write an equivalent expression by factoring for 6a + 15
A right triangle has side lengths d, e, and f as shown below. Use these lengths to find sinx, tanx, and cosx.
Step-by-step explanation:
In the given triangle,
Perpendicular = d
Hypotenuse = e
Base = f
We need to find the values of sinx, tanx and cosx.
We know that,
[tex]\sin \theta=\dfrac{P}{H}\\\\\tan\theta=\dfrac{P}{B}\\\\\cos\theta=\dfrac{B}{H}[/tex],
We have, P = d, H = e and base = f
So,
[tex]\sin \theta=\dfrac{d}{e}\\\\\tan\theta=\dfrac{d}{f}\\\\\cos\theta=\dfrac{f}{e}[/tex]
Hence, this is the required solution.
Using the lengths given, the Trigonometry ratios of the right triangle are:
sin x = d/e cos x = f/etan x = d/fRecall:
In a right triangle where we are given a reference angle, ∅, with three sides, we can solve the triangle using the Trigonometry ratios given as: SOH CAH TOA.Given the following:
∅ = xOpposite = dHypotenuse = eAdjacent = fThus:
sin x = Opp/Hyp = d/e (SOH)
cos x = adj/Hypo = f/e (CAH)
tan x = Opp/Adj = d/f (TOA)
Therefore, using the lengths given, the Trigonometry ratios of the right triangle are:
sin x = d/e cos x = f/etan x = d/fLearn more about Trigonometry ratios on:
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Bir sayının 2 bölü 5 'sinin 3 eksiği, bu sayının çeyreğine eşittir.
Buna göre bu sayı kaçtır?
Answer:
si cardo bahyanbayansusb
What is the value of x?
Answer:
x=16
Step-by-step explanation:
according to the geometric mean for altitude
8 squared = 4x
64=4x
x=16
if my answer helped please mark as brainliest.
Step-by-step explanation:
X = 16 .
16 is the correct answer of this question .
plz mark my answer as brainlist if you find it useful.
I need help answering this question:
-9 ÷ +3
Answer:
-3
Step-by-step explanation:
-9 divided by +3 can be written as -9 divided by 3, because when you have a positive number, you don't have to write a plus sign in front of it. Next, we can just do 9/3 and then add the negative sign to the result to get our answer. 9 divided by 3 is equal to 3, and when you add the negative sign, you get -3.
Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.
Answer:
x = 6
Step-by-step explanation:
If A, B and C lies on a straight line in order, then;
AB+BC = AC
x+12+2x-4 = 26
x+2x+12-4 =26
3x+8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
Hence the value of x is 6
Think of a favorite dance move, such as the Running Man. Determine whether there is periodicity associated with this dance move.
Answer:
I don't remember if Alan Walker can dance :/
Step-by-step explanation:
Dream did it better than me, you should see his answer.
Answer:
I don't know
Step-by-step explanation:
Please help me giving brainliest
Answer:
90 degrees
Step-by-step explanation:
classmate is muy stupio
the non 90 degree angles are all congruent
which means each of them are 45 degrees
cuz triangle degree add up to 180
then
u use subtraction
cuz a line is 180 degrees
Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.
Which statement proves that WXYZ is a parallelogram?
A. Show that segments WX and YZ have equal slopes.
B. Show that segments WX and YZ have equal lengths.
C. Show that the midpoints of segments WY and XZ are the same point.
D. Show that segments WX and XY have slopes that are opposite reciprocals of each other.
The statements are -
A. Show that segments WX and YZ have equal slopes.
B. Show that segments WX and YZ have equal lengths.
C. Show that the midpoints of segments WY and XZ are the same point.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.
The statements that prove WXYZ as a parallelogram are -
A. Show that segments WX and YZ have equal slopes.
B. Show that segments WX and YZ have equal lengths.
C. Show that the midpoints of segments WY and XZ are the same point.
Therefore, the statements are -
A. Show that segments WX and YZ have equal slopes.
B. Show that segments WX and YZ have equal lengths.
C. Show that the midpoints of segments WY and XZ are the same point.
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pls help with this math question !
thx !
Answer:
h^4
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Una pirámide de base cuadrada se corta con un plano paralelo a la base por la mitad de la altura de la pirámide, obteniendo una pirámide más pequeña y un tronco de pirámide. ¿Cuántas veces es más grande el volumen del tronco con respecto al volumen de la pirámide pequeña?
Answer: what does this say?
Step-by-step explanation:
give answer please.............................fast
Answer:
120
Step-by-step explanation:
Find out the answer for 78^ - 42^.
78^ - 42^ = 4320
36 x = 4320
1 x = 4320 ÷ 36 = 120
PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY
Answer:
z=95
Step-by-step explanation:
z-28=67
+28 +28
x=95
all you have to do is make both side of the eqaution balanced
if you add 28 to one side you do it to the other side as well
Answer for brainliest
Step-by-step explanation:
The diameter is 6, so the square is also 6 feet by 6 feet. This means the square has an area of 36 feet.
Find the area of the circle:
3.14 * 3^2
3 ^ 2 = 9
3.14 * 9 = 28.26
Now find the area of the edges of the square.
36 - 28.26 = ~7.74 ft
Convert to 0,125km
to centimetres..........
Answer:
12500 cm
Step-by-step explanation:
0,125 km = 125 m (times 1000 because 1 km = 1000 m)
125 m = 12500 cm (times 100 because 1 m = 100 cm)
can anyone answe this?
Answer:
Corresponding
Step-by-step explanation:
For the diagram shown, find the measures of angles 4,
5, and 6.
m_4 =
degrees
m25 =
degrees
m26 =
degrees
Answer:
m∠4 = 57 degrees
m∠5 = 123 degrees
m∠6 = 35 degrees
Step-by-step explanation:
determine if JK and LM parallel, perpendicular, or neither .
Answer:
3 - Perpendicular.
4 - Parallel.
Step-by-step explanation:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]JK = \frac{1-(-7)}{-4-(-10)} = \frac{8}{6} = \frac{4}{3}[/tex]
[tex]LM = \frac{-2-2}{-6-(-3)} = \frac{-4}{3}[/tex]
Perpendicular, because two lines are considered perpendicular if their slopes are opposite reciprocals.
[tex]JK = \frac{-2-(-2)}{3-11} = \frac{0}{-8} = 0[/tex]
[tex]LM = \frac{-2-(-7)}{1-1} = \frac{5}{0} = 0[/tex]
someone answer this please!! make sure to consider the function f(x)=3x-1
Answer:
The answers go
2
-1
-4
4
What is the square root of 7.29 ?
Answer:
2.7
Step-by-step explanation:
Answer:
2.7
Step-by-step explanation:
Describe the graph of x > 2 and x < 5. ( i think its a number line for compund inequalitites)
It would have hollow circles on 2 and 5 and you would connect them
Evaluate -4 x (2 + -3).
Answer:
positive 4
Step-by-step explanation:
you first add the numbers in the numbers in the brackets
2+-3=-1
-4×-1=+4
Step-by-step explanation:
-4×(2+(-3) )
= -4×(2-3)
=-4×-1
= 4
BCDE is a rhombus. Find the missing measures.
BC = 28 and BD = 32
CD =
FD =
EF =
EC =
Answer: CD=28
FD= 16
Step-by-step explanation:
3. Sadie and Josie are asked to wrie an expression equivalent to 3(2x+3y).
Sadie writes the expression 6x+9y.
Josie writes the expression 18xy.
Who is correct and why?
A. Sadie is correct because 3(2x)+3(3y)=6x+9y.
B. Sadie is correct because 3+2x+3+3y=6x+9y.
C. Josie is correct because 3 2x 3y=18xy.
I
D. Josie is correct because 3(6xy)=18xy.
Help please will give the brainliest
Answer:
Every angle of Square = 90°
diagonal bisects the angle in half.
=> angle FGI = 45°
=> 7x+3=45
=>7x=42
therefore, x=42/7=6
HCF of 10,100,1000.
Answer:
So the greatest common factor 10 and 1000 is 10.
plz mark me as brainliest
Which statement describes the congruent triangles
Answer:
it is the first answer
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
you have to line the angles up so the congruent sides lay on each other.
Solve for x in the following figure and choose the appropriate result.
Answer:
2x is equal to 45
e is equal to x and 2
Step-by-step explanation:
If $30,000 then is equivalent to $900,000;
then, what is $1 then equivalent to in today's
dollars?
Answer:
$30
Step-by-step explanation:
You need to figure out how the money changes between then and now. To do that, take now and divide it by then; 900,000/30,000 = 30, the amount now is 30 times that of then. To figure out what any amount then is worth now, multiply it by 30 and you'll get you answer. (In this case: 1*30 = 30)