Answers
9514 1404 393
Answer:
-(5√7 +9√35)/380
Step-by-step explanation:
The denominator is made rational by multiplying numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{\sqrt{7}}{5-9\sqrt{5}}=\dfrac{\sqrt{7}}{5-9\sqrt{5}}\cdot\dfrac{5+9\sqrt{5}}{5+9\sqrt{5}}=\dfrac{5\sqrt{7}+9\sqrt{35}}{5^2-9^2\cdot5}=\boxed{-\dfrac{5\sqrt{7}+9\sqrt{35}}{380}}[/tex]
_____
Additional comment
This process takes advantage of the factoring of the difference of squares:
a² -b² = (a -b)(a +b)
The method is used to eliminate complex numbers and square roots from denominators.
Related Questions
Three more than twice a number b is equal to 13
Answers
(please mark brainliest)
What is the difference between 1/2 of 30 and 1/4 of 30?
Answers
1/2 of 30 = 15
1/4 of 30 = 7.5
just divide 30 by 2 and 4
your welcome :)
Answer:
7.5
May be
have a great day ahead
QUESTIONS:
1. What is the area of the original rectangle if its side is x units?
2. If each side of the small squares is y, what expression represents its area?
3. How will you express the area of the new figure in terms of the variables started in letters a and b?
4. What is the dimension of the new figure formed?
5. If the value of x is 4cm and the value of y is 1, what will be the dimension of the new figure?
Answers
Answer:
may its 3+4+5+6+65+67+79+7+=728383848
I don't know
What number is
2/10
of 1% of 4,100?
Answers
Answer:
8.2
Step-by-step explanation:
4100*0.01=41
41*(2/10)=8.2
1. Suppose C(x) is a function representing the cost(in dollars) of producing x units energy, and R(x) is a function representing the revenue (in dollars) of selling x units of energy. Suppose further that both functions are continuous for all x > = 0. A. Is there necessarily some x value, let's call it C, that will maximize profit over all x = 0? Explain your answer. B. Suppose we know we can't produce more than 1,000 units of energy. Is there necessarily some x-value, call it C, that will maximize profit over the interval [0,1000]? Explain your answer. C. Again, assume that we can't produce more than 1,000 units of energy. Is there necessarily some x value, let's call it C, for which the profit is exactly 0? Explain your answer.
Answers
Answer:
A. Yes, there is a value that will maximize the profit overall x values. This is true when the functions C(x), R(x), and P(x) are often defined only for non-negative integers, that is, for x = 0, 1, 2, 3... . The reason is it is not logical to speak about the cost of producing −1 cars or the revenue generated by selling 3.62 refrigerators. Thus, each function may give rise to a set of discrete points on a graph.
The formulas for these questions are:
C(x) = cost of producing x units of the product
R(x) = revenue generated by selling x units of the product
P(x) = R(x) − C(x) = the profit (or loss) generated by producing and (selling x units of the product.)
B. No, there is not an x-value that will maximize the profit over [0,1000]. This is true since 1,000 is the horizontal asymptote, which means that the line of the graph keeps traveling with the HA until the profits drop since we cannot produce anything more than 1,000 units of energy per day. The graph of this problem would be a horizontal asymptote at y = 1,000. The line of the graph would start at zero and increase until it reaches the asymptote at 1,000 and continues towards infinity.
C. Yes, there is an x-value that is exactly zero. This is true because zero is our starting point in our profits. The x and y value would be (0,0) as we have just begun to produce energy units. Once the graph starts to increase, we cannot have a point at exactly zero, unless the profits have a dramatic drop to the x value of 0. This would then be (0, at a number of diminishing returns)
What is 18% of 5? HELPPP
Answers
In a triangle XYZ, x = 24 cm, y = 19 cm and YXZ = 62o. The magnitude of XYZ..
Answers
Answer:
Step-by-step explanation:
using sine formula
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c} \\\frac{sin \angle XYZ}{19} =\frac{sin 62}{24} \\sin \angle XYZ=\frac{19}{24} \times sin 62\\\angle ~XYZ=sin^{-1}(\frac{19}{24} \times ~sin~62) \approx 44.35^\circ[/tex]
HELP awarding brainliest asap and points
Answers
Answer:
y=2x+6
Step-by-step explanation:
I just did process of elimination, the line crosses the y-axis through a positive area, and all the other answers had a negative y-intercept, so it couldn't be any of those.
The waiting time to ride a roller coaster is 20 minutes one 150 people in line. How long is the waiting time when 1200 people are in line.
Answers
160
how i got this:
20 = 150
/(divide) 150
0.13(recurring) = 1
x1200
160 = 1200
if you need me to explain anything in detail, please feel free to message! have a nice day:)<3
Model -2/4+3/4 on a number line
Answers
Answer:
Step-by-step explanation:
Help me please will give Brainliest
Answers
Answer:
c) 3ft= 1 yards
18/3 = 6 yards
12/3 = 4 yards
Perimeter- 6×2+4×2=20 yards
6×4=24yards²
d) I foot= 12 inches
18ft = 12×18= 216"
12ft =12×12= 144"
Perimeter- 216×2+144×2= 720 inches
216"×144"= 31,104 inches²
Median = 18+19/2
= 18.5
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2). Complete the following equation for a line passing through point C and perpendicular AB.
Answers
The equation of perpendicular line is [tex]$y=-\frac{11}{6} x+\frac{43}{6}[/tex].
What is the equation of a Straight Line ?The equation of the straight line is represented by
y = mx + c
where m is the slope , and c is the intercept on y axis.
Calculate the slope m of BC using the slope formula
[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]
with [tex]$\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=\mathrm{B}(8,4)$[/tex] and [tex]$\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)=\mathrm{C}(-3,-2)$[/tex]
[tex]$m_{B C}=\frac{-2-4}{-3-8}=\frac{6}{11}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]$m_{\text {perpendicular }}=-\frac{1}{m}=-\frac{1}{\frac{-6}{11}}=-\frac{11}{6}$[/tex], then
[tex]$y=-\frac{11}{6} x+c[/tex] is the partial equation
To find c substitute A(3,8) into the partial equation
[tex]$9=-\frac{-11}{6}+C[/tex]
[tex]$-\left(-\frac{11}{6}\right)+C=9$$[/tex]
Apply rule -(-a)=a
[tex]$\frac{11}{6}+C=9$$[/tex]
Subtract [tex]$\frac{11}{6}$[/tex] from both sides
[tex]$\frac{11}{6}+C-\frac{11}{6}=9-\frac{11}{6}$$[/tex]
Simplify
[tex]$C=\frac{43}{6}$$[/tex]
[tex]$y=-\frac{11}{6} x+\frac{43}{6}[/tex] be the equation of perpendicular line.
Therefore, the value of c = 43/6.
To learn ore about equation of a Straight Line
https://brainly.com/question/25208854
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PLEASE HELP ITS MATH THANK YOUUUU
Answers
Olympic games are held every four years. they were held in 1992. when will the next three games be held?
Answers
Find the value of x
(simplifi radicals if needed, or round to the nearest hundredth
Answers
Step-by-step explanation:
x²=72²+65²
x²=5184+4225
x²=9409
x=97.
hope this helps you.
Find the x-intercept and y-intercept of the line.
3x - 2y = 12
Answers
Answer: x-intercept: (4, 0) y-intercept: (0, -6)
Step-by-step explanation: Ask for explanation if you want it.
You are installing solar lighting units alongs the driveway to your house. Each unit is on sale for $12. You purchase 15 units. show how you can use the distributive property to find the total cost of the lighting units mentally.
Answers
Answer:
$180
Step-by-step explanation:
(12*10)+(12*5)
12*5 = 120/2 = 60 (half of 12*10)
12*10= 120
120 + 60= $180
You don't even have to calculate (12*5) you can just do 12*10/2
What is the (square root of 12) squared minus 3 equal
Answers
Answer:
0.46410161514
Step-by-step explanation:
Just search up square root of 12 and then subtract 3 from it.
Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height. Suppose also that a beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons. What is the maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
Answers
Way: W = k * w * h^2/ L
4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
What is Weight?Gravitational force of attraction on an object, caused by the presence of a massive second object, such as the Earth or Moon.
Given,
Maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height.
beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons.
W = k × w × h²/ L
8 = k × 5 × 2² / 10
8 = k ×20/10
8 = 2 × k
k = 4
The maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
w =4 ×6 ×2² / 24
= 24 ×4/ 24
W=4 tons
Hence 4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
To learn more on Weight click:
https://brainly.com/question/10069252
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evaluate (4/3)³×(4/3)‐²×(1/3)
Answers
Answer:
256/243
Step-by-step explanation:
64/27 x 4/3 x 1/3
Hello everyone, please help me on this second question (:
Answers
someone please answer!!
Answers
Answer:
x=3; y=0
Step-by-step explanation:
Guys please help me ill give brainliest to the right answers
Which expression(s) are equivalent to |9 – x|?
Answers
Answer:
A and C would be your answer
Hope it helps!
True or False?
When you add a negative number to both sides of an inequality, you have to flip the inequality sign.
Answers
Answer:
it's TRUE
Step-by-step explanation:
because when you add a negative number at both sides of an inequality and then u will flip the inequality sign
Answer:
True
Step-by-step explanation:
Assignmenti Given A={a,b, c, d], find
the number of subsets in set A and of
List the possible subsets in set A.
Answers
9514 1404 393
Answer:
{ }, {a}, {b}, {c}, {d}, {a,b}, {a,c}, {a,d}, {b,c}, {b,d}, {c,d}, {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}, {a,b,c,d}
Step-by-step explanation:
The number of subsets of a set with n elements is 2^n, including the empty set and the full set. Your subsets are ...
{ }, {a}, {b}, {c}, {d}, {a,b}, {a,c}, {a,d}, {b,c}, {b,d}, {c,d}, {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}, {a,b,c,d}
Solve for c. F+3/C = e
help
Answers
CF + 3 = Ce
Collect the like terms (the ones that contain C)
CF - Ce = -3
Factorise
C(F - e) = -3
C = -3/(F - e)
A better answer is C = 3/(e - F)
Subtract F from both sides
3/C = e - F
Divide by 3
1/C = (e - F)/3
Find reciprocal of both sides
C = 3/(e - F)
Marking as brainliest!!
Answers
8^2+6^2=100
Sqrt(100)=10
Answer:
10 ft
Step-by-step explanation:
Kale works in a packaging factory that has 900 employees. By the end of the day they manage to package 3.2x 10^5 products what is the average amount of products packaged per employee represented in scientific notation
Answers
Am I correct? Will give brainilest to correct answer!
Answers
Answer:
Yes 6/3=2 simplified which is way bigger than 2/3
Step-by-step explanation:
Answer:
[tex] \frac{6}{3} > \frac{10}{15} [/tex]
Option AStep-by-step explanation:
6/3=2
10/15 = 2/3 = 0.66...
2 > 0.66
Solve for c
a (b - c) = d.
Answers
Answer: C = b-(d/a)
Step-by-step explanation:
Given, a(b-c) = d
or, b-c = d/a
or, -c =(d/a)-b
or, c = b-(d/a)