Answer:
2(3-√13) is the answer
Step-by-step explanation:
Given that,
x = \frac{3 - \sqrt{13} }{2}
or, \frac{1}{x} = \frac{2}{3 - \sqrt{13} } (Taking reciprocal on both sides)
We know that,
(a + b)² = a² + b² + 2ab
or, (x \ + \frac{1} {x})^{2} = {x}^{2} + \frac{1}{x {}^{2} } + 2
or, {x}^{2} + \frac{1}{x {}^{2} } = (x \ + \frac{1}{x })^{2} - 2
Now,
or, {x}+ \frac{1}{x } = \frac{3 - \sqrt{13} }{2} + \frac{2}{3 - \sqrt{13} }
or, (3 - \sqrt{13 {})^{2} } + 4
2(3-√13) is the answer
If you didn't understand the frac etc... then I'll attach the f ans file.
What’s the answer I need help asap
Answer:
The equation is y = x-2
The equation of the line will be y = x - 2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
The slope of the line is,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table consider the two points as,
( 14, 12 )
( 13, 11 )
The slope is calculated as,
[tex]m = \dfrac{12 - 14}{11-13}[/tex]
m = 1
The y-intercept is calculated as,
y = mx + c
y = x + c
12 = 14 + c
c = -2
The equation of the line can be written as,
y = mx + c
y = x - 2
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A group of friends count the coins they have in their pockets.
They record how many cents they each have in dimes.
Another friend counts his coins and has 2 dimes.
If 20 is added to the line plot, what effects will it have on the mean and median?
Answer:
I do not know the full answer but its not the mean dropping
Step-by-step explanation:
i said the mean dropping and I got it wrong.
Answer:
The mean will change more than the median
Step-by-step explanation:
pls helpppp i dont understand at all !!
Answer:
increasing
increasing
decreasing
increasing
decreasing
neither
Step-by-step explanation:
"increasing" just means the graph is going up from left to right.
"decreasing" means going down from left to right.
"neither increasing nor decreasing" means flat, horizontal, not going up or down.
Imagine you are walking on the x-axis, starting on the left, the numbers on the axis are like house addresses as you walk down the street. The column that says "interval" is saying where you are looking at along the axis.
-7 < x < -3 means from -7 to -3 on the x-axis. That piece of the curve IS going up from left to right. From -3 to -1 is also going up, so its increasing. From -1 to 1 the graph goes down, that's decreasing. Then it goes up again, then down, then flat. (incr, decr, neither)
Any slanted line or curve can be seen as going up or going down, depending on which direction you are going. But in this case only consider left to right ONLY. Then you can tell if its increasing or decreasing.
Describe the orbit of a complex number under iteration. Please hurry!
Answer:
The orbit of 0 is the collection of all points (complex numbers) under iteration of x2 + c starting at the seed 0. The fate of the orbit is its eventual behavior. For example, the orbit may tend to a cycle of some period---its fate would then be that cycle. Or it ---may tend to a fixed point.
What is the probability of someone
randomly reaching into a bag of 8 red table
tennis balls and 4 blue table tennis balls and
pulling out a blue table tennis ball?
The probability of pulling out a blue ball is 1/3
What is probability?This is a likelihood or chance that an event will occur. Mathematically:
Probability = Expected/Total outcome
If someone randomly reaching into a bag of 8 red table tennis balls and 4 blue table tennis balls, the total outcome is:
Total outcome = 8 + 4 = 12 balls
If a blue ball is pulled out then the probability of pulling it out is:
Pr(blue ball) = 4/12 = 1/3
Hence the probability of pulling out a blue ball is 1/3
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can someone help me.
Answer:
D. 75 m²
Step-by-step explanation:
l = 15m
b = 5m
area of rectangle = l × b = 15 × 5 = 75 m²
Which of these numbers is the greatest?
0.36
0.63
0.631
0.361
Answer:
0.631
Step-by-step explanation:
Please Help there are 3 questions.
Answer:
1) There are 15 in it, which means we need to find the 8th. The 8th is 6, which means the median is 6. We then need to find the other quartiles.
8/2=4, which means we need to look at the 4th,5th and 12th,13th.
The first one is FIVE, and the second is SEVEN. Therefore, the FIRST ONE.
2)113
3)37
Find the 7th term of the geometric sequence.
14, 28, 56, ...
Answer:
The 7th term is 896
Step-by-step explanation:
= ar^n-1
a = 14
r = 28/14
= 2
n = 7
= 14 X 2 ^ 7-1
= 14 X 2 ^ 6
= 14 X 64
= 896
find the vertex for the function:
y = 6(x + 3)^2 - 1
Answer:
The vertex would be (-3, -1)
Step-by-step explanation:
Since this is in vertex form already, a(x-h)^2+k where h is the x value of the vetex, and k is y.
We would take the opposite of +3 and get -3, which gives us our x cordinate.
We don't change the k value, so it just stays -1, giving us our y value.
Therefore, the vertex is at (-3, -1)
Hope this helps!
The graphs below have the same shape. What is the equation of the blue graph? G(x) =
Paulina plays both volleyball and soccer. The probability of her getting injured playing volleyball is 0.10.10, point, 1. The probability of her getting injured playing soccer is \dfrac{1}{10} 10 1 start fraction, 1, divided by, 10, end fraction. Which of these events is more likely? Choose 1 answer: Choose 1 answer:
Answer: Both of these events are more likely.
Step-by-step explanation:
Since we have given that
Probability that she is getting injured playing volleyball = 0.1
Probability that she is getting injured playing soccer is given by
Since we need to compare both the probabilities so, for this we first need to change the second probability in decimal form.
So,
since both the events have same probability.
Hence, Both of these events are more likely.Step-by-step explanation:
What is the slope of the given line? (Use only whole numbers or fractions to answer)
What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)
Answer:
answer is -1/2
have a nice day
Can someone please help me? :(
Answer:
561 is the surface area
Step-by-step explanation:
11 x 11 is the base area which equals 121. The height is 10 and the base is 11 for the triangles so it is 11 x 10 which equals 110. We multiply that number by 4 to equal 440. 440 + 121 equals 561 so 561 is the surface area.
Answer:
341Step-by-step explanation:
((10 x 11)/2) x 4
=220
220+11 x 11
220 + 121=
341
last question i have to ask ‘calculate the area of the shaded space’ please and thank you.
Answer:
21.5 square m
Step-by-step explanation:
You find the area of the shaded space by finding the area of the square and the removing the area of the circle.
The area for the square is 10x10=100.
All you have to do is follow the formula, (3.14)r^2. However, the 10 is NOT the diameter! The radius is half of the diameter. So, it's 3.14x5x5, which is 3.14x25=78.5.
Then, you can do 100-78.5=21.5
What is the simplest form of 2 square root 3 / square root 6
A. square root 2
B. square root 3
c. 3 square root 2
D. 2 square root 3
Answer:
C
Step-by-step explanation:
2√3 / √6 Multiply top and bottom by √6
(2√3 * √6) / (√6 √6 ) Combine left factors
(2 √18) / (√6 √6 ) (√6 √6 ) = 6
(3 √18) / 6 Factor 18
(3 √2 * 3 * 3 Take one 3 outside the brackets. Discard the other three.
3*3 *2√2/6 Divide top and bottom by 6
Answer: 3 √2
Answer:
Step-by-step explanation:
A. square root of 2, Took it on edg. and passed.
3x^2+18x-27=0
Answer in Quadratic formula
Find X.
Hint: T is an inscribed angle that creates arc WS. Arc WS can be found by adding arcs WR and RS together.
See picture for full problem. Please and thank you so much!
Answer:
x=13
Step-by-step explanation:
The attached photo might help
Jabrin was tossing a ball up in the air and catching it. He found that in 50 tries, he could catch it 45 times. He is going to do this 33 more times. Predict how many times Jabrin will catch the ball out of these 33 tosses.
What is the exact prediction? What is the realistic prediction?
Answer:
As the question states, predict how many times. I don't get the "realistic" prediction part, but however,
he caught it 9/10 times. I can predict he will catch it 29.7 times, rounded to 30 times.
math sceenshot answer the sceenshot
Answer:
H(d) = 0.3d + 12
Step-by-step explanation:
It started at 12 inches.
Then it grew 0.3 inches per day.
Let d = number of days.
The growth is 0.3 d.
Add the growth to the original length, to get 0.3d + 12.
Answer: H(d) = 0.3d + 12
How many angles are formed by intersecting roads? Number the angles
Answer:
there are about 8 angles ,God bless you
Answer:
I count 4 angles
Step-by-step explanation:
See the attached image.
evaluate the expression you got in part d for b = 8? (b / 2-3)
Answer:
b/2-3
8/2-3(substituting B=8)
8/-1
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
The expression to be evaluated :
(b / 2-3)We can simpify the denominator(b / -1) ⇒ -bWe have the value of b, which is equal to 8.
Therefore, on substituting in our simplified expression :
⇒ -(8)⇒ -8I need a lot of help!
Is 54.03 + 4.04 greater than 54 + 4.4?
Answer:
54+4.4 is greater
Step-by-step explanation:
if u need explanation than please ask
What is the meaning of ^
Answer:
Symbol. ^ or (English symbol name wedge) (mathematics, logic) The conjunction operator, forming a Boolean-valued function, typically with two arguments, returning true only if all of its arguments are true. (mathematics) wedge product
Answer;
It is the symbol used in computer language to denote the square or cube or other power of any number . for example; 2^2, it means the square of 2.
How do I find the length of K?
Answer:
i) 3.7 cm
ii) 3.0 cm
Step-by-step explanation:
When you are given side lengths and angle measures, trig functions will generally be involved in solving the triangle. The mnemonic SOH CAH TOA is intended to remind you of the trig relations pertaining to a right triangle.
__
i)The sides adjacent to the angle and opposite the angle are given. The relevant relation is ...
Tan = Opposite/Adjacent
tan(63°) = k/(1.9 cm)
k = (1.9 cm)tan(63°) ≈ 3.7 cm
The length k is about 3.7 cm.
__
ii)Again, the tangent function can be used to solve this triangle.
tan(42°) = (2.7 cm)/p
p = (2.7 cm)/tan(42°) ≈ 3.0 cm
The length p is about 3.0 cm.
Find the third side, round the nearest 10th
Answer:
11.9
Step-by-step explanation:
Pythagorean theorem:
[tex]a^2+b^2 = c^2[/tex]. where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)
[tex]22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9[/tex]
Answer:
11.9
Step-by-step explanation:
This is a right triangle so I can solve this with the pythagorean theorem.
Set up the equation 22²+x²=25² x would be the third side
Simplify, 484+x²=625
Subtract from both sides 484-484+x²=625-484
x²=141
Find the square root of 141 to get x
The square root of 141 is approximately 11.9 rounded to the nearest tenth.
Jack and Thomas picked apples. Jack picked 36 apples, which is twice as many as Thomas picked.
How many apples did Thomas pick?
bro i need help with this 8th grade math work
Answer:
look it up
Step-by-step explanation:
The solution of system of equations is (3.5, 3.5).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
1) 1/2 (12x+8) -1/3 (24)=1/4 (16x+40)
6x+4-8=4x+10
6x-4=4x+10
6x-4x=10+4
2x=14
x=7
Therefore, the value of x is 7.
3) y=3x-7 -------(i) and -y=x-7 -------(ii)
Substitute equation (i) in equation (ii), we get
-(3x-7)=x-7
-3x+7=x-7
x+3x=7+7
4x=14
x=14/4
x=3.5
Substitute x=3.5 in equation (i), we get
y=3×3.5-7
y=10.5-7
y=3.5
So, the solution is (3.5, 3.5)
4) Production of chairs from Anthony
(2, 10) and (5, 25)
Here, m=(25-10)/(5-2)
= 15/3
= 5
Substitute m=5 and (x, y)=(2, 10) in y=mx+c, we get
10=5(2)+c
c=0
Substitute m=5 and c=0 in y=mx+c, we get y=5x
Production of chairs from Billy
(1, 2) and (4, 8)
Here, m=(8-2)/(4-1)
= 6/3
= 2
Substitute m=2 and (x, y)=(1, 2) in y=mx+c, we get
2=2(1)+c
c=0
Substitute m=2 and c=0 in y=mx+c, we get y=2x
When y=18
Production of chairs from Billy 18=5x
x=3.6
When y=18
Production of chairs from Anthony
18=2x
x=9
Therefore, the solution of system of equations is (3.5, 3.5).
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The radius of a circle is 15 in. Find its area in terms of \piπ
Answer:
Step-by-step explanation:
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex]15²
A = [tex]\pi[/tex]225
Do number 1 pleaseeee
Answer:Let's start b writing down coordinates of all points:A(0,0,0)B(0,5,0)C(3,5,0)D(3,0,0)E(3,0,4)F(0,0,4)G(0,5,4)H(3,5,4)a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.A(0,0,0)ReflectingA(0,0,0)B(0,5,0)ReflectingB(0,-5,0)C(3,5,0)ReflectingC(3,-5,0)D(3,0,0)ReflectingD(3,0,0)b.)A(0,0,0)MovingA(-2,-3,1)B(0,-5,0)MovingB(-2,-8,1)C(3,-5,0)MovingC(1,-8,1)D(3,0,0)MovingD(1,-3,1)
Step-by-step explanation: