rationalise the denominator of (6+root3)(6-root3) over root33
Answers
Answer:
√33
Step-by-step explanation:
In the image .
The expression (6 + √3) (6 - √3) / √33 upon rationalizing the denominator gives √33.
What is Square Root?Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.
The given expression is (6 + √3) (6 - √3) / √33
We have the identity,
(a + b) (a - b) = a² - b²
∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33
= (36 - 3) / √33
= 33 /√33
Multiplying numerator and denominator by √33,
(6 + √3) (6 - √3) / 33 = (33 × √33) / (√33 × √33)
= 33√33 / 33
= √33
Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.
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Related Questions
Each music class sings 8 songs a week. How. Many songs does each class sing in 5 weeks 6 weeks 7 weeks
Answers
Answer:
40, 48, 56
Step-by-step explanation:
8x5 is 40
8x6 is 48
8x7 is 56
I hope this helps have a good day
Solve the equation 3x-4=8-x
Answers
Answer:
x=3
Step-by-step explanation:
3x-4=8-x(Group like terms)
3x+x=8+4(Add both sides)
4x=12(After adding you will proceed to divide both sides by 4)
x=3(x is 3 because 4 can divide 12 3 times that's why we have x as equal to 3)
HELP ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line passing through the given points using the slope formula. Enter the slope in
simplest form. Describe the slope as positive, negative, zero, or undefined.
(-5. 19) and (-1,7)
Answers
Answer:
[tex]m=-3[/tex]
The slope is negative.
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 19)
Point (-1, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-19}{-1-(-5)}[/tex]Simplify: [tex]m=\frac{7-19}{-1+5}[/tex]Subtract/Add: [tex]m=\frac{-12}{4}[/tex]Divide: [tex]m=-3[/tex]12x+y when x=3 and y=52
Answers
12(3) + (52)
12(3) = 36
36 + 52 = 88
True or False?
2^3 < 3^2
Answers
Answer:
True
Step-by-step explanation:
[tex]2^{3} <3^{2} \\2*2*2<3*3\\8<9[/tex]
Answer:
True
Step-by-step explanation:
The table shown below represents a function. Which of the following values could not be used to complete the table?
Options:
A. -20
B. -5
C. -15
Answers
Answer:
may be
15 is the answer
hope it help uh
7d – 4d – 3d – 5 = 6d
Answers
Answer:
[tex]d = -\frac{5}{6}[/tex]
Step-by-step explanation:
7d – 4d – 3d – 5 = 6d
(7d - 4d = 3d)
3d - 3d -5 = 6d
(3d - 3d = 0)
0 - 5 = 6d
-5 = 6d
-5/6 = 6d/6
d = [tex]\frac{-5}{6}[/tex]
Hope this helps ^-^
You save 40% of every check you get. Each check is $2,300. How much of the check do you not save?
Answers
Answer:
$1380 is left of the check
Step-by-step explanation:
2300 times .40 is 920
920 minus 2300 is 1380
( IF THIS IS CORRECT CAN I GET BRAINLYEST)
3) Solve this system of linear equations by elimination.
y=x-1
2x-y=0
*x=-1,y=-2
*x=1,y=2
*x=2,y=1
*x=-2,y=-1
Answers
Answer:
Solving this system of linear equations by elimination we get x=-1 and y=-2
Option 1 is correct option.
Step-by-step explanation:
We are given equations:
[tex]y=x-1---eq(1)\\2x-y=0---eq(2)[/tex]
We need to solve by Elimination method.
Elimination method: Add or subtract the equations to get an equation in one variable.
Rearranging the equation 1 we get
[tex]-x+y=-1---eq(1)\\2x-y=0---eq(2)[/tex]
Add eq(1) and eq(2)
[tex]-x+y=-1\\2x-y=0\\------\\x=-1[/tex]
So, after eliminating y we get x=-1
Now finding y by putting x in eq(1)
[tex]y=x-1\\y=-1-1\\y=-2[/tex]
We get y=-2
So, solving this system of linear equations by elimination we get x=-1 and y=-2
Option 1 is correct option.
How many 5/6 are in three and 1/3
Answers
Answer:
necesito puntos por eso estoy escribiendo esto
Are all of these correct?
Answers
Answer:
all the answers are correct
Step-by-step explanation:
on number eight in the work on the 9x it should say -9x but you fixed it later so the answer is right but the work at that point isnt
2. For this one I got -2+8k(I think that’s the same answer just worded differently
3. Correct!!
4. I got -2-10a(also believe that’s the same)
5. Correct
6. Correct
7. I got 5n+24
8. Correct!!!
GOOD JOB GIRL!!!
Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?
Answers
Answer: y= 9
Step-by-step explanation:
B = (- 1, y)
We know that the slope is -7/5 which is rise/run
Thankfully the run is 5 which is the exact distance from 4 to -1 so we would need to apply -7 to 2 which would be 5
The answer is
B = (- 1, 5)
10 po
8. A square with a perimeter of 20 is dilated
with a scale factor of 0.4. How would the
area of the new square be affected?
a) It would be 20 times bigger.
b) It would be 0.4 times smaller.
c) It would be 0.16 times smaller.
d) It would be 400 times bigger.
O a)
Answers
Answer:
the answer is c 0.16
Step-by-step explanation
I just took the test
A recipe calls for ½ cup of flour to make 8 servings. How many cups of flour are needed to make 20 servings?
Answers
Answer:
20/8 = 2.5
1/2+1/2+1/2=
1 1/2
Step-by-step explanation:
Ur welcome:)
Estimate.
16.12 divided by 3.1
A. 5
B. 5.2
C. 6
D. 6.2
Answers
find the area of the figure. (sides meet at right angles.) 2m 2m 2m 2m 3m 7m 7m 7m
Answers
Pam is having a yard sale. For each item, she is asking for two-fifths of the price for which she bought the item. Write an equation for the situation, where y is the price she is asking and x is the original price of the item.
Answers
Answer:
The equation is 2x = 5y
Step-by-step explanation:
From the question, we are told that what is asked is 2/5 of the price for which each of the items are bought
y is the asking price, x is the original
Mathematically,
that would be;
y = 2/5 * x
y = 2x/5
Thus;
2x = 5y
2. Which equation represents a line that passes through the point (-4,10) and is parallel to the line whose equation is 9y + 18x = 6?
Answers
Answer: y = 2x +18
Step-by-step explanation:
9y + 18x =6 y = mx + b
-18. -18 10= 2(-4) + b
__________. 10= -8 + b
9y = 18 + 6. +8. +8
/9 /9 /9. ________
18 = b
y = 2 + 2/3. y = 2x + 18
whole answer step bye step
The amount of women to men in a Halloween costume contest was 8 to 4. Write 3 equivalent ratios to match this ratio!!!!! ASAP PLS HELP DUE IN 1 HOURRR
Answers
Answer:
1)4:2 3) 2/1 (2 over 1) 5) 4 to 2
Step-by-step explanation:
Answer:
A, C, E
Step-by-step explanation:
?????
John owed his brother $25.75, but was able to pay him back $19.45. How much does John owe brother owe now?
Answers
Answer:
$6.30
Step-by-step explanation:
So we are going to subtract what is owed by what is payed back to find out how much John owes his brother
$25.75 - $19.45 = $6.30
John owes his brother $6.30
10 employees only eat
vegetables and 25 employees
eat meat. What is the ratio of
the employees who only eat
vegetables to employees who
eat meat?
Answers
Answer: the ratio 2:5
Step-by-step explanation:
I think thats the answer,
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?
They intersect at one point.
They intersect at two points.
They have the same slope.
They have the same y-intercept.
Answers
Answer:
They intersect at one point
Step-by-step explanation:
I took the test and got 100%
Answer:
They have to intersect at one point
Step-by-step explanation:
tabitha paid $20 for lunch with a friend if she wants to leave a15% tip how much will it cost altogether
Answers
Answer:
$23
Step-by-step explanation:
15% of 20= 3
$20 + $3= $23
Answer:
$23 total
Step-by-step explanation:
20 dollars is the bill + 15%
15% of 20 is 3 brings her total to $23 total
Hope this was helpful! have a great day!
A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed for 1 cup of water? StartFraction 4 carrots Over 2 cups of water EndFraction StartFraction 4 cups of water Over 2 carrots EndFraction StartFraction 2 carrots Over 4 cups of water EndFraction StartFraction 2 cups of water Over 4 carrots EndFraction
Answers
Answer:
4/2 or 4 carrots: 2 cups water
Step-by-step explanation:
You divide to find the amount of carrots for 1 cup.
The volume of the large cube is 125 cubic inches. The volume of the small cube is 27 inches. What is the difference between the length of one side of the large cube and the length of one side of the small cube?
Answers
Answer:
2cmStep-by-step explanation:
Step one:
given data
for the large cube
the volume= 125cm^3
we know that volume = l*l*l
volume=l^3
we want to find l, so we have to cube both sides
125=l^3
l=∛125
l=5cm
Step two:
given data
for the large cube
the volume= 27cm^3
we know that volume = l*l*l
volume=l^3
we want to find l, so we have to cube both sides
27=l^3
l=∛27
l=3cm
The difference between the length of one side of the large cube and the length of one side of the small cube=5-3= 2cmLast question I think HELP ME ITS FIXING TO BE OVER DUE!!!
Answers
Answer:
I am not good at this but a good app for math is Math
way
~Hope this helps!!Stay safe~
Select the true statement about triangle ABC.
A. sin C = tan A
B. sin C = cos B
C. sin C = cos A
D. sin C = sin A
Answers
Answer:
C
Step-by-step explanation:
sin C=12/13
cos A=12/13
so sin C=cos A
The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is C.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Let's solve the given statement as shown below.
A.)
sin C = tan A
sin C = 12/13
tan A = 5/12
Therefore, the given equation is not true.
B. sin C = cos B
sin C = 12/13
cos B = 5/13
Therefore, the given equation is not true.
C. sin C = cos A
sin C = 12/13
cos A = 12/13
Therefore, the given equation is true.
D. sin C = sin A
sin C = 12/13
Sin A = 5/13
Therefore, the given equation is not true.
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-9x -2y=3
- 2x-y=-1
HELP ASAP
Answers
Answer:
is this even real what's the actual question?
1) Mrs. Houser is baking cookies for an elderly neighbor. She decides to make half of this cookie recipe since she doesn't need the whole thing. Look at the recipe and then answer the questions below
Answers
Answer:What’s the question that we have to answer?
Step-by-step explanation:
Answer: it would be 2 1/3 cups
Step-by-step explanation:
What is 7x=5y x 6. Plllllssss heeelllp meh. Im stupid and don't know what this is.
Answers
Answer:
x=0
Step-by-step explanation:
"x6" was replaced by "x^6".
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :7x-(5y*x^6)=0
7x - 5x6y = 0
7x - 5x6y = -x • (5x5y - 7)
-x • (5x5y - 7) = 0 Hope this helps and you are not stupid everybody has at least something that they dont understand :)))
