Answers
Answer:
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
Related Questions
A school is ordering chairs for the teacher's lounge and some of the classrooms. Each classroom needs 17 chairs, while the teacher's lounge needs 16.
Let n represent the number of classrooms included in the order and c represent the total number of chairs. Complete the table using the relationship between n and c.
Answers
5515828288777776677
12
Select the two values of x that are roots of this equation. 3x - 5 = -2x2
Answers
Answer:
C and A are the answer
Step-by-step explanation:
step by step
The volume of water remaining in a tank after 10 of its original volume (x) is drained out
Answers
Answer:
x - 10
Step-by-step explanation:
The original volume is x, and 10 is removed.
In mathematical terms, this is expressed as x - 10.
Pls help. It’s quite late <3
Answers
Answer:
a) 120
Step-by-step explanation:
B is twice the size of A
What is the common difference for this arithmetic sequence? 45,39,33,27,21,...
Answers
Answer:
I expect the correct answer
_6
.
Answer:
6
Step-by-step explanation:
because if u minus 39 from 45 u get six and same for the others
2x to the power of -2
the answer is apparently 2 over x squared
explain this
Answers
Answer:
See Below
Step-by-step explanation:
When you have a negative exponent, you divide by the exponent hence the flipping. Here is an example to make it easier to explain. Below are some power of ten:
[tex]10^3=1000\\10^2=100\\10^1=10\\10^0 =1\\10^{-1}=\frac{1}{10} =\frac{1}{10^1} \\10^{-2}=\frac{1}{100} =\frac{1}{10^2}[/tex]
When you go from an exponent to the one below it, you divide by the base. For example, to go from [tex]10^3[/tex] to [tex]10^2[/tex], you divide by ten. This is the same principle used to find the values of negative exponents. [tex]10^0[/tex] is [tex]10^1[/tex] divided by 10, so [tex]10^{-1}[/tex] should be [tex]10^0[/tex] divided by ten. [tex]10^0[/tex] is 1, making the value of [tex]10^{-1}[/tex] as [tex]\frac{1}{10}[/tex]. When you divide by ten, you multiply by [tex]\frac{1}{10}[/tex], this effect makes the exponent stack on the bottom and correspond to the magnitude of the power.
For this specific example, we can write:
[tex]2x^{-2}[/tex]
We are raising x to the power of negative 2, so we can say it is the same as [tex]\frac{1}{x^2}[/tex]. We are also multiplying by 2, so that's how we get [tex]\frac{2}{x^2}[/tex]
If you need more of a visual, here are the powers of x:
[tex]x^2\\x^1=\frac{x^2}{x} \\x^0=\frac{x^1}{x}=1 \\x^{-1}=\frac{1}{x} \\x^{-2}=\frac{x^{-1}}{x}=\frac{1}{x*x}=\frac{1}{x^2}[/tex]
And we just multiply 2 times the value of [tex]x^{-2}[/tex].
Hope this helps.
Simplify 3a²b³x 4a³b
Answers
What is the missing value in the last step? 3 6 9 18
Answers
Answer:
D
Step-by-step explanation:
edge 2021
Someone help me on this Problem !!
Answers
Answer:
[tex] \frac{1}{2} [/tex]Negative1 divided by 1 = 12 divided by 4 = 2#Correct me if I'm wrong#Hope it's Helpx² + 8x + 16 =
I need the steps and the answer
and the box
Answers
Answer:
The answer is (x+4)
Step-by-step explanation:
Just write the expression as a product with the factor x and 4
x²+2×x×4+4+16
then write the number in the exponential form with an exponent of 2
x²+2×x×4+4²
then use a² +2ab +b² = (a+b)² yo factor the expression which you get (x+4)
PLZ HELP ASAP DUE IN 10 MINS I WILL MARK BRAINLIEST!!!!
Answers
Answer:
15/8
Step-by-step explanation:
Applying
tanθ = Opposite(O)/Adjacent(A)
tanθ = O/A............ Equation 1
From the diagram,
To get the opposite(O), we apply pythagoras theorem
a² = b²+c²
Where c = opposite
17² = 8²+c²
289 = 64+c²
c² = 289-64
c² = 225
c = √225
c = 15
Substitute into equation 1
Therefore,
tanθ = 15/8
Hence the exact value of tanθ is 15/8
Answer the one that’s is blank
Answers
5x + 15 = 15 + 5x
5x = 5x
x = x
?
2. 5x = -15
3. x = -3
Hope it helps!
A researcher shows Trey two containers of the same size, both containing the same amount of marbles. The researcher pours one container of marbles into container that is taller, but smaller in diameter so the level of marbles is higher than in the other container. When the researcher asks Trey which container has more marbles, Trey points to the taller, thinner container. What type of task has Trey been tested on
Answers
Answer:
Conservation
Step-by-step explanation:
Conservation is the principle that an object maintains the same size and shape even if it is repositioned or divided in certain ways.
Please help…………………………
Answers
Answer:
Step-by-step explanation:
angle 2 is also 60 degree (being vertically opposite angles)
angle 3 is also 60 degree (being corresponding angles)
angle 4 is also 60 degree (being corresponding angles ) . sice angle 2 is 60 degree and relation between angle 2 and 4 is corresponding angle , angle 4 will also be 60 degree.
Quadrilateral ABCD has coordinates A(3,-5), B(5,-2), C(10,-4), D(8,-7). Quadrilateral is a
Answers
Answer:
Quadrilateral is another word for a shape with four sides.
Step-by-step explanation:
Answer:
Parallelogram
Step-by-step explanation:
AB=CD
AD=BC
BD not equal to AC (Diagonals are not equal)
AB not equal to BC (Adjacent sides are not equal)
Thus the quadrilateral is parallelogram
Brainliest please
I need help with questions 11 and 12 please!
Answers
Q11: angle EFG = 90°
angle GDH = 90°÷2
= 45°
angle FEG = 90°÷2
= 45°
angle DHG = 180°-45°-45°
= 90°
Q12. (6x-21)°=90°÷2
=45°
6x=45°+22°
=67°
x=67°÷6
=11/1/6°
hope it helps:)))))
A ramp 16 ft long rises to a platform that is 12 ft off the ground. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP !!!!!!
Answers
If a ball is thrown straight up with an initial velocity of 29.4 m/s, the
equation for the height "h" is given by h = -4.9t2 + 29.4t. When does the
ball return to the ground?
Answers
Answer:
6 sec
Step-by-step explanation:
when ball return to the ground, h is 0
0=at^2 +bt
0 = -4.9t^2+29.4t
factor: -4.9 times -6 is 29.4
0 = -4.9t(t-6)
set each equation to 0
-4.9t = 0 or t-6=0
t = 0 or t= 6
it's 6 seconds
Answer:
after 6 seconds in the air
Step-by-step explanation:
setting 'h' equal to zero will yield when the ball returns to the ground
you can factor out -4.9t to get:
-4.9t(t - 6) = 0
t = 0 (prior to ball being thrown)
t = 6 (this means, after 6 seconds, the height of the ball is back to zero)
Pls help ..
if A =
[4 3] is a singular matrix, find 'a'
[ a 3]
Answers
Answer:
a = 4.
Step-by-step explanation:
We know that:
[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]
is a singular matrix, now we want to find the value of a.
We know that a matrix is singular if:
Det [A] = 0
Where remember that the determinant of a 2x2 matrix is given by:
[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]
Then the determinant of A is:
Det [A] = 4*3 - a*3
and that must be zero, so:
4*3 - a*3 = 0
Now we just need to find the value of a:
12 - a*3 = 0
12 = a*3
12/3 = a
4 = a
So the value of a is 4.
How do you eat like I next to to eat and I can’t so how do I eat
Answers
Answer:
I don’t get the question.
Step-by-step explanation:
It doesn’t make sense to me……….
(FIRST CORRECT FOR BRAINIEST) Solve for x
Answers
Answer:
x = 12
Step-by-step explanation:
Angles in a triangle add up to equal 180 degrees
Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created
10x - 11 + 3x - 2 + 3x + 1 = 180
step 1 combine like terms
10 + 3x + 3x = 16x
- 11 - 2 + 1 = -12
we now have 180 = 16x - 12
step 2 add 12 to each side
- 12 + 12 cancels out
180 + 12 = 192
we now have 192 = 16x
step 3 divide each side by 16
16x / 16 = x
192 / 16 = 12
we're left with x = 12
Answer:
x=12
the seniot math wiz already explained it correctly
Find the missing interior angle in a triangle when one angle is 48 degrees, a second angle is Y+2 degrees, and the exterior angle is 2Y - 3 degrees?
Answers
Answer:
61°
Step-by-step explanation:
Angles in a straight line add up to 180°.
Also angles in a triangle add up to 180°.
See the image above.
express as a single faction
[tex] \frac{x} {4} + \frac{x}{4} [/tex]
Answers
[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]
[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]
[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]
TIME REMAINING
55:06
A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines will be utilized.
The population of City A, in Texas, is 29,455 and covers an area of 19.42 mi2.
The population of City B, in Alabama, is 34,890 and covers an area of 25.4 mi2.
Which city’s residents are more likely to use public buses? Explain.
The residents of City B are more likely to use public transportation because the city has the lowest population density.
The residents of City B are more likely to use public transportation because the city has the highest population density.
The residents of City A are more likely to use public transportation because the city has the lowest population density.
The residents of City A are more likely to use public transportation because the city has the highest population density.
Answers
Answer:
d
Step-by-step explanation:
i just took the test
The residents of City A are more likely to use public transportation because the city has the highest population density. Therefore, the correct option is A.
What is Population density?Population density is the amount of people living in a specific area. In this example, City A has 29,455 residents in an area of 19.42 square miles, while City B has 34,890 residents in an area of 25.4 square miles.
Due to the large number of people living in the small space, the population density is high in City A. Greater demand for public transport services, such buses, is often brought about by higher population density as residents find these services more practical and cost effective to use for commuting and travel. As a result of their increased population density, people in City A are more inclined to use public transport.
Therefore, the correct option is A.
Learn more about population density, here:
https://brainly.com/question/16894337
#SPJ7
Answer the question in the picture
Answers
9514 1404 393
Answer:
D. 3.70 and 3.75
Step-by-step explanation:
Your calculator tells you that √14 ≈ 3.742.
The upper ends of the ranges of choices A, B, and C are all below this value, so the only interval that is applicable is choice D:
√14 lies between 3.70 and 3.75
Given a quadratic function, y = ax + bx+c, what happens to the graph when "a" is positive?
a. the parabola opens down, the vertex is the C. the parabola opens up, the vertex is the
maximum value
maximum value
b. the parabola opens down, the vertex is the d. the parabola opens up, the vertex is the
minimum value
minimum value
Answers
Answer:
d
Step-by-step explanation:
it is opened up because the voeff of X^2 tetm is positive
Don’t need to send the math or anything just need the answer will give brainliest!!!
Answers
Answer:
The answer is D, Katie paid $40 for 4 hours
Step-by-step explanation:
If Rita pays $35 for 3 hours and Luna pays $45 for 5 hours
Just do 35 + 5 = 40
You get 40, so,
Katie paid $40 for 4 hours
Oh, i legit didnt see that "Dont need to send the math"
my bad, srry.
What does b mean????
b+12< 44
Answers
Answer:
b < 32
Step-by-step explanation:
b + 12 < 44
b - 12 -12
b < 32
so b can be any number less than 32
in the figure below, mMNO=83*. Find mMLO
Answers
Answer:
166degrees
Step-by-step explanation:
Using the theorem which states that the angle at the vertex is twice the angle at the intercepted arc
Angle at the vertex <MNO = 83degrees
Angle at the arc = m<MLO
According to the theorem
83 = 1/2(m<MLO)
m<MLO = 83 * 2
m<MLO = 166degrees
Hence the measure of angle MLO is 166degrees
Find the range of the graphed function.
Answers
Answer:
-6 ≤ y ≤ 9
Step-by-step explanation:
Answer:it’s d
Step-by-step explanation: