Answer:
ss
Step-by-step explanation:
s
Worth 10 pts
Plssssssssssssssssss help
Will give brainliest
Answer: [tex]2\sqrt{2}+\sqrt{3}\\\\[/tex]
a = 2 and b = 1
=======================================================
Explanation:
Set the expression equal to the given form we want. Then square both sides so we get rid of the outer-most square root
[tex]\sqrt{11+4\sqrt{6}} = a\sqrt{2}+b\sqrt{3}\\\\\left(\sqrt{11+4\sqrt{6}}\right)^2 = \left(a\sqrt{2}+b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = \left(a\sqrt{2}\right)^2+2*a\sqrt{2}*b\sqrt{3}+\left(b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = 2a^2+2ab\sqrt{2*3}+3b^2\\\\11+4\sqrt{6} = 2a^2+3b^2+2ab\sqrt{6}\\\\[/tex]
In the third line, I used the rule that (x+y)^2 = x^2+2xy+y^2
-------------------
At this point, we equate the non-radical and radical terms to get this system of equations
[tex]\begin{cases}11 = 2a^2+3b^2\\ 4\sqrt{6} = 2ab\sqrt{6}\end{cases}[/tex]
The second equation turns into 4 = 2ab when we divide both sides by sqrt(6)
Then 4 = 2ab turns into ab = 2 after dividing both sides by 2.
We're told that a,b are rational numbers. Let's assume that they are integers (which is a subset of the rational numbers).
If so, then we have these four possibilities
a = 2, b = 1a = -2, b = -1a = 1, b = 2a = -1, b = -2If a,b are negative, then you'll find that [tex]a\sqrt{2}+b\sqrt{3}[/tex] overall is negative. But this contradicts that [tex]\sqrt{11+4\sqrt{6}}[/tex] is positive. So a,b must be positive.
Let's assume that a = 1 and b = 2. If so, then,
2a^2+3b^2 = 2(1)^2+3(2)^2 = 14
but we want that result to be 11 instead.
Let's try a = 2 and b = 1
2a^2+3b^2 = 2(2)^2+3(1)^2 = 11
which works out perfectly.
Therefore,
[tex]\sqrt{11+4\sqrt{6}} = 2\sqrt{2}+\sqrt{3}\\\\[/tex]
---------------------------------
Checking the answer:
Use a calculator to find that
[tex]\sqrt{11+4\sqrt{6}} \approx 4.5604779\\\\2\sqrt{2}+\sqrt{3} \approx 4.5604779\\\\[/tex]
both have the same decimal approximation, so this is a fairly informal way to confirm the answer.
Another thing you can do is to take advantage of the idea that if x = y, then x-y = 0
So if you want to see if two things are equal, you subtract them. You should get exactly 0 or something very small (pretty much equal to 0).
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height.
Answer:
40
Step-by-step explanation:
The first step is to calculate the base area of the prism
= 15×30
= 450
The volume is then calculated as follows
= 450×h
= 450h
The capacity is 18 liters
= 18×1000
= 18,000
Therefore the height of the rectangular prism can be calculated as follows
450h= 18,000
h= 18,000/450
= 40
Hence the height is 40 cm
SOLVE URGENT CORRECT ANSWER WILL GET BRAINLIEST
Answer:
8.
a) f'x means you find the derivative.
2 * d/dx x^2 -b * d/dx x + d/dx c
use power rule x^2 = 2x^1
2*2x = 4x. the derivative of the differentiation variable, x is 1 and the derivative of a constant, c is 0
4x-b+0
4x-b is our derivative
(I am still figuring out b and c, I will edit this answer and put the solution for b and c.)
Step-by-step explanation:
What’s the value of x?
G
53°
45
H
x°
Answer:
x = 98°
Step-by-step explanation:
95 + 53 + (180 - x) = 180
148 + 180 - x = 180
328 - x = 180
328 - x + x = 180 + x
x + 180 = 328
x + 180 - 180 = 328 - 180
x = 98°
The required measure of the remote exterior angle x is 98°.
Given that,
A triangle has shown,
Where two remote interior angles with measures 45° and 53° are given and a remote exterior angle with measure x is given, we have to determine the value of x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the angle?The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
There is a property of a triangle that, the sum of the remote interior angle is equal to the measure of the remote exterior angle. So,
x = 53 + 45
x = 98°
Thus, the required measure of the remote exterior angle x is 98°.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ1
Jamal puts $100 in an account that does not earn any interest. Every month after that, he deposits the same amount of money. This sequence represents his account balance for the first few months. $100, $125, $150, What is the explicit formula in function form for the amount of money in his account at the beginning of month n?
Answer:
Tn = 75+25n
Step-by-step explanation:
The balance are in arithmetic progression
$100, $125, $150...
The formula for calculating the nth term of the sequence is expressed as;
Tn = a+(n-1)d
a =100
d = 125 - 100 = 150 - 125
d = 25
n is the number of terms
Substitute
Tn = 100+(n-1)*25
Tn = 100 + 25n-25
Tn = 75+25n
Hence the nth term of the sequence is Tn = 75+25n
Help please I’ll give you the brainliest I really got to get this done
Answer:
56
Step-by-step explanation:
Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her salary is a constant rate.
True
False
Answer:
False
Step-by-step explanation:
if a triangle has one angle that measure 81 degrees and another that measures 47 degrees, what is the measure of the third angle?
Answer: 52
Step-by-step explanation:
81 + 47 is 128.
180 - 128 =52 degrees.
:)
PLEASE HELP, WILL GIVE BRAINLIEST FOR RIGHT ANSWER!
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line that contains the point Q (1, -2) and is parallel to the line whose equation is
y − 4 = 2/3 ( x − 3)
Answer:
my previous account deleted...how r u sadie??
Find angle C!!!!! See the image below! I need this answer fast
Answer:
55
Angle C is a inscribed angle of the of Arc Ba.
CA is the diameter so that means Arc BA equal 110 becuase
110+70=180.
Angle C is half of Arc BA so Angle C is
[tex]55[/tex]
a. x ll y
b. y ll z
c. a ll b
d. x perpendicular to b
Answer:
Option B
Step-by-step explanation:
By applying the converse theorem of corresponding angles,
"If corresponding angles formed between two parallel lines and the transversal line are equal then both the lines will be parallel"
Angle between line B and Y = 90°
Angle between line B and Z = 90°
Therefore, corresponding angles are equal.
By applying converse theorem, line Y and line Z will be parallel.
Option B will be the answer.
Circle A has a radius of 4 centimeters.
Use the figure below, If m
Answer:
m anglw ABD answers is 50 degree
the gravitational acceleration on Earth is 9.8m/s^2 what is the weight of a car on earth if the mass is 1360
Answer:
13328 N
Step-by-step explanation:
9.8 m/s^2 • 1360 = X
13328 N = X
pls help in this
7.6x5.2
Answer:
39.52
Step-by-step explanation:
Answer:
Table multiplication:
7.6 times
5.2 =
15.2
38.0
—-
39.52
I need some help; if you don't know the answer, don't answer
Answer:
B is the right answer and if you want learn this, than learn algebric expression
what is the value of w to the nearest degree
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side LM. Round your answer to the nearest tenth if necessary.
Answer:
LM = 24.3
Step-by-step explanation:
In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.
Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as
LK / HG = LM / IH
34/7 = LM / 5
Multiply both sides by 5
34*5/7 = LM
LM ≈ 24.2857
Rounding to the nearest tenth, LM = 24.3
Answer:
24.3
Step-by-step explanation:
What decimal is equivalent to 1/8
Answer:
0.125
Step-by-step explanation:
Becuase math
Does this graph represent a function? Why or why not?
Answer:
B yes, because it pases the vertical line test
I need the answers and it's due today, please help
Answer:
1. 3
2. 1
3. 2
4. 4
5. 5
Step-by-step explanation:
What’s the equation of the blue line?
Answer:
Step-by-step explanation:
The equation of blue line A is x = 1.
That of blue line B is y = 4.
Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive?
Answer:
$405
Step-by-step explanation:
Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min
4 hrs 25 min = 265 minutes
2 hrs 15 min = 135 min
Donny's share = [tex]\frac{135}{400} of 1200[/tex]
[tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]
If a triangle has one interior angle measuring 102°, what is a possible pair of measurements for the other two
interior angles
it edmentum guided notes so it has to be a writing answer
Answer:
a2+a3=78
a2 and a3 must both be positive numbers that add up to 78
so a2 = a3 = 39
a1=102, a2=39, a3=39
Step-by-step explanation:
a1=102
a1+ a2 + a3=180 (all interrior angles of a triangle add up to 180)
a2+a3=78
a2 and a3 must both be positive numbers that add up to 78
HELP PLZ
Does the Graph Represent A Function? Why Or Why Not?
Answer:
C
Step-by-step explanation:
Answer:
hi its c because its not a traight line
Step-by-step explanation:
llus
Find the value of x that makes A || B.
2
4
3
5
Z2 = 2x + 10 and 24 = 4x + 80
x = [?]
Enter
Answer:
Step-by-step explanation:
If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,
2x + 10 + 4x + 80 = 180 and
6x = 90 so
x = 15
Let $z$ and $w$ be complex numbers satisfying $|z| = 5, |w| = 2,$ and $z\overline{w} = 6+8i.$ Then enter in the numbers \[|z+w|^2, |zw|^2, |z-w|^2, \left| \dfrac{z}{w} \right|^2 \]below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark. Don't even know where to start.
I got 49 for the first one, 100 for the second one, 9 for the 3rd one, and 6.25 for the 4th one. But it was wrong, so I don't know how to do this question.
Answer:
1st entry: 41
3rd entry: 17
Step-by-step explanation:
The 1st and 3rd entry are incorrect.
We will use the following for the 1st and 3rd:
[tex]|z+w|=|z|^2+|w|^2+2R(z\overline{w})[/tex]
[tex]|z-w|=|z|^2+|w|^2-2R(z\overline{w})[/tex]
where [tex]R(z\overline{w})[/tex] means 'real part of [tex]z\overline{w}[/tex]'.
Let's do part 1 now)
25+4+2(6)
29+12
41
Let's do part 3 now)
25+4-2(6)
29-12
17
solve for x, show work please! 25 points.
Answer:
C
Step-by-step explanation:
8x + 2 = 7x + 8
<=> 8x - 7x = -2 + 8
<=> x = 6
Answer:
Option CStep-by-step explanation:
Here,
8x + 2 = 7x +8 [Since Alternate interior angle]
=> 8x - 7x = 8 - 2
=> x = 6 (Ans) (Option C)
Find the value of x in the isosceles triangle shown below.
in a class of 37 students,the number of students who like martial art only is double than the number of students who like athletics only .if students like both 4 like none of the games . find how many students like
Answer:
number of students who like Athletics only = x = 10 students
number of students who like marshal arts only = 2x = 20 students
Step-by-step explanation:
In a class of 37 students, the number of students who like marshal arts only is
double than the number of students who like athletics only. If 3 students like both
and 4 like none of the games, find out how many students like:
i. Marshal arts
ii. Athletics
Total students in the class = 37
number of students who like Athletics only = x
number of students who like marshal arts only = 2x
Number of students who like both = 3
Number of students who like none = 4
Total = athletics + marshal art + both + none
37 = x + 2x + 3 + 4
37 = 3x + 7
37 - 7 = 3x
30 = 3x
x = 30/3
x = 10
number of students who like Athletics only = x = 10 students
number of students who like marshal arts only = 2x
= 2(10)
= 20 students
