Answers
Answer:
11-6√3 = a -b√3
where a=11 and b =6
Step-by-step explanation:
Step(i):-
Given
[tex]\frac{5+2\sqrt{3} }{7+4\sqrt{3} }[/tex]
Rationalize
= [tex]\frac{5+2\sqrt{3} }{7+4\sqrt{3} } X \frac{7-4\sqrt{3} }{7-4\sqrt{3} }[/tex]
= [tex]\frac{(5+2\sqrt{3})(7-4\sqrt{3} ) }{7^{2} -(4\sqrt{3})^{2} }[/tex]
= [tex]\frac{(5+2\sqrt{3})(7-4\sqrt{3} ) }{49-16(3) }[/tex]
= [tex]\frac{(5+2\sqrt{3})(7-4\sqrt{3} ) }{1 }[/tex]
Step(ii):-
Multiply
[tex]{(5+2\sqrt{3})(7-4\sqrt{3} ) }[/tex]
= 5 × 7 - 5×4√3 + 2√3 ×7 - 2√3 × 4√3
= 35 -20√3+ 14√3-8×3
= 35 - 6√3 -24
= 11-6√3
Related Questions
f(4/5) if f(x) = 4x - 1/5
Answers
Find the midpoint of a and b where a has coordinates (2,3) and b has coordinates (8,9).
Please help.
Answers
Answer:
please follow me bro i have followed u
Similar or not Similar?
Answers
Answer:
similar....
Step-by-step explanation:
in the diagram it is clearly shown that corresponding angles are congruent and all the sides are in 1/2 ratio
IREADY MATH LEVEL G
HELP ASAP DUE AT 11:59!!
Answers
PLEASE ANSWER WITH A PROPER ANSWER QUICKLY
If the first equation is multiplied by 3 and then the equations are added, the result is _____.
3 x + y = 3
x - 3 y = -2
8 x = 7
10 x = 7
10 x = 11
Answers
work out the total number of mobile phones sold in the 3 years
Answers
Answer: your wuestion isn’t specific enough.
Step-by-step explanation:
Jaimie is practicing for the long jump. Each week she makes 10 jumps and after each jump she records the distance, in meters, she reaches with each jump. Her results for this week are represented in the table below. Jump 1 2 3 4 5 6 7 8 9 10 Distance (m) 5.1 5.3 5.4 5.2 5.5 5.4 5.2 5.3 5.5 3.5 Jaimie then reviews her results and determines the mean and standard deviation so that she can compare her results from this week to her results from the previous week. Jaimie felt the 10th jump was not reflective of her ability because she stumbled before making the jump and decided to remove the 10th jump from her data set. Determine whether each statement describes the change that will occur to the mean and standard deviation from this week's results when Jaimie removes the 10th jump from her data set. Select Yes or No for each statement. Yes No Removing the 10th jump from her data set will cause her average jump distance to increase. Removing the 10th jump from her data set will cause her average jump distance to decrease. The standard deviation will increase because the jump distances will be more spread out. The standard deviation will decrease because the jump distances will be more clustered together.
Answers
Answer:
mean=(5.1 +5.3+ 5.4 +5.2+ 5.5 +5.4+ 5.2 +5.3 +5.5+ 3.5)/10=51.4/10=5.14
Help me please ........
Answers
Answer:
a = 884.19
b = 1004.19
c= - 559.15
d =- 634.16
Step-by-step explanation:
2.6 divided by -0.2
Answers
Answer:
-13
Step-by-step explanation:
what is distance between C(−5,−2) and D(0,−4)
Answers
Answer:
[tex]\displaystyle d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C(-5, -2)
Point D(0, -4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(0+5)^2+(-4+2)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(5)^2+(-2)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{29}[/tex]FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (40pts)
Answers
Answer:
225 cm^3
Step-by-step explanation:
Solve the equation -2x + 9 - 3x= -5x + 3
Answers
Answer:
There are no solutions
Step-by-step explanation:
Answer:
no real solutions
Step-by-step explanation:
-2x + 9 - 3x = -5x + 3
First, combine like terms on each side.
-2x - 3x + 9 = -5x + 3
-5x + 9 = -5x + 3
Continue to combine the like terms from both sides.
0 = -6
The above expression is not true, therefore, there are no real solutions.
17. If x is a real number such that x3 = 729,
then x2 + x = ?
A. 738
B. 732
C. 90
D. 84
E. 12
Answers
Answer:
C. 90
Step-by-step explanation:
If x^3 = 729, x = 9.
Then, plug that into x^2 + x
9 ^ 2 + 9 = 81 + 9 = 90
why is m4 is m9 = 13°
Answers
you wish to purchase dog food foe your kennel. you find 2 equal brands. bowser dog food comes in 50lb. bags for 32.50 per bag . Woof woof dog food comes in 40 lb. bags which cost 26.95 each
Answers
Answer:
Woof Woof dog food is a better deal. It costs $1.48 per pound.
Bowser dog food costs $1.54 per pound.
match each set of values to its correct median
Answers
Answer:
purple = 6
orange = 4
blue = 2
red = 5
green = 3
Step-by-step explanation:
hope this helped
Answer:
Step-by-step explanation:
hope this helps
A solid cylinder has a radius of 14 cm
and a height of 25 cm.
Work out the volume of the cylinder
Give your answer correct to
3 significant figures
Answers
Answer: 15400cm³
Step-by-step explanation:
We are given the following information:
Radius = 14cm
Height = 25cm
π = 3.14
Volume if a cylinder = πr²h
= 3.14 × 14² × 25
= 3.14 × 196 × 25
= 15386
= 15400 to 3 significant figure.
if f(x)= 3x-4, find f(-2) - f(3)
Answers
Answer:
-15
Step-by-step explanation:
f(-2) = 3(-2) - 4 = -6 - 4 = -10
f(3) = 3(3) - 4 = 9 - 4 = 5
f(-2) - f(3) = -10 - 5 = -15
If 8x - 5y = -8 is a true equation, what would be the value of -5y + 8x?
Answer:
Answers
Answer:
The value of -5y + 8x would be 8.
Step-by-step explanation:
The new equation is just the original equation but multiplied by -1 to make the symbols different. By following this rule, -8 would turn into just 8.
Solution (x, y) i dont understand it
Answers
Answer:
(3, 3)
Step-by-step explanation:
I guess you're looking for a point that satisfies 2 functions (red and blue). That point is an intersection of these two functions, hence (3,3)
Answer:
[tex]\boxed{\boxed{(x,y)=(3,3)}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:system of linear equationgraphing system of linear equationtips and formulas:when we have two linear equation to find the value of x and y is called the system of linear equationwhen we have graph, the solutions of system of linear equation are the coordinates of two lines cross togetherlet's solve:since you can see at "tips and formulas" what linear equation is and what the solutions are when you have graph
if you see the graph attentively, you can see that the blue line and the red line cross together at (3,3) coordinates
therefore
the solution of the system of linear equation is
(x,y)=(3,3)
What is the exact perimeter of the trapezoid?
Answers
but the answer rounded to the nearest thousandth is 54.806
2a+b=5 and 6y+4y=48 show that 20a+10b has a greater value than 3x+2y
Answers
Answer:
Step-by-step explanation:
There is an error in the question. 6x+4y = 48
Multiply first equation by 10:
20x+10y = 50
Divide second equation by 2:
3x+2y = 24
50>24, so 20x+10y > 3x+2y
What is 4/5 as decimal
Answers
Answer:
0.8
Step-by-step explanation:
its 0.8 cause you divid 4/5
Where is point K(-100, 100)
located?
Answers
Answer:
K(-100, 100) is located in Quadrant II
Step-by-step explanation:
(look at the graph below)
Answer:
located in quadrant that one
Step-by-step explanation:
If the perimeter of a parallelogram is 140 m, the distance between a pair of opposite sides is 7 metres
and its area is 210 sq. m. find the length of the two adjacent sides of the parallelogram
Answers
Answer:
10 m and 60 m.
Step-by-step explanation:
Perimeter = 140 m
Area = 210 [tex]m^{2}[/tex]
Distance between pair of opposite sides = height of the parallelogram = 7 m
Area of parallelogram = [tex]\frac{1}{2}[/tex] x base x height
210 = [tex]\frac{1}{2}[/tex] x base x 7
420 = 7 x base
base = [tex]\frac{420}{7}[/tex]
= 60 m
The base of the parallelogram is 60 m, which is equal to the length of the opposite side.
Perimeter = 2(a + b)
140 = 2 (a + 60)
140 = 2a + 120
2a = 140 - 120
2a = 20
a = 10 m
Thus, the length of two adjacent sides of the parallelogram are; 10 m and 60 m.
Using the slope formula, find the slope of the line through the points (0,0) and (4,8) . Use pencil and paper. Explain how you can use mental math to find the slope of the line
Answers
Answer:
Look below! I hope this helps, and mark as brainliest please!
Step-by-step explanation:
The formula for slope is (y2-y1) divided by (x2-x1). So in this case, we have (8-0) divided by (4-0) so we get 8 over 4 and that is 2. So the slope is 2.
for the students, the ratio of girls to boys is 4 to 5. If I have 54 students in total, how many of each do I have?
Answers
4 + 5 = 9
54/9 = 6
4(6) = 24. meaning 24 girls.
5(6) = 30. meaning 30 boys.
What is the solution to the equation?
Answers
Answer:
B
Step-by-step explanation:
98+g=150
98+g-98=150-98
g = 52
can someone help pls what is x
Answers
Answer:
y = 5/2 or 2.5
Step-by-step explanation:
"The product of a number and -7,
increased by 9, is at most 16."
help please i will give brainliest thanks so much please helppop