SOMEONE HELP ME IM FREAKING OUT I LITERALLY CANT WITH THIS QUESTION IM PRAYING PLEASE HELP ME IM SO SERIOUS IM GONNA END IT PLS HELP ME the question is like 3-v BUT LIKE THE v has a line on top so its like 3-v32/1+v2 LIKE I DONT UNDERSTAND
can be written in the form a + bv2
where a and b are integers .
Answers
Answer:
[tex]\sf -11+7\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }[/tex]
Rewrite 32 as 16 · 2:
[tex]\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }[/tex]
Apply radical rule [tex]\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }[/tex]
As [tex]\sf \sqrt{16}=4[/tex]:
[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }[/tex]
Multiply by the conjugate:
[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }[/tex]
[tex]\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}[/tex]
[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}[/tex]
As [tex]\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2[/tex]:
[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}[/tex]
[tex]\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}[/tex]
[tex]\sf \implies \dfrac{11-7\sqrt{2}}{-1}[/tex]
[tex]\sf \implies -11+7\sqrt{2}[/tex]
Related Questions
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 5 minutes. Using the empirical rule, what percentage of customers have to wait between 21 minutes and 31 minutes?
Answers
Answer: 95% of the customers have to wait.
Answer: 68%
Step-by-step explanation:
What is the cube of 6?
A. 216
B. 42
C. 36
D. 18
Answers
Answer:
A
Step-by-step explanation:
Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216
A grain silo has a cylindrical shape. Its radius is 8ft, and its height is 36ft. What is the volume of the silo?
Use the value 3.14 for[tex]\pi[/tex], and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
The volume of a silo cylinder with radius of 8 feet and height of 36 feet is 7235 feet cube.
Volume of a cylinderThe volume of a cylinder can be calculated as follows;
Volume = πr²h
where
r = radiush = heightTherefore,
r = 8 ft
h = 36 ft
volume = 3.14 × 8² × 36
volume = 3.14 × 64 × 36
volume of the silo = 7234.56
Therefore, the volume of the cylindrical silo is 7235 ft³
learn more on volume here: https://brainly.com/question/27270919
What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm long, 11 cm wide, and 10 cm tall?
Answers
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
_____
Additional comment
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
If f(x)=2x-3 then find the expression given by f(a+h)-f(a)/h
Answers
[tex]\text{Given that,}~ f(x) =2x-3\\\\\dfrac{f(a+h) - f(a)}{h}\\\\=\dfrac{(2(a+h)-3)-(2a-3)}{h}\\\\=\dfrac{2a+2h-3-2a+3}h}\\\\=\dfrac{2h}{h}\\\\=2[/tex]
9x2+x−8=0
This is class 10, Polynomials chapter.
Please somebody solve this step by step.
Answers
Answer:
Step-by-step explanation:
PLEASE HELP CHOOSING BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
The denominator is the same and the expression can be rewritten as 2n⁴ + 6 - 7 in the numerator, which simplifies to 2n⁴ - 1 over n⁴ + 3.
Algebraically:
[tex]\frac{2n^4+6}{n^4+3} -\frac{7}{n^4+3}[/tex]
[tex]\frac{2n^4+6-7}{n^4+3}[/tex]
[tex]\frac{2n^4-1}{n^4+3}[/tex]
I hope this helps!
Pls help and explain it
Answers
Answer:
(a) School B
you can compare the coverages of A grades for both schools
School A: 25
School B: 50
50 > 25, so school B
(b) School B
School A: 18
School B: 70
70 > 18, so also school B
(c). School B has a higher percentage of nearly all the grades than school A except for D grade.
What operation does the key word " increase" tell you to do?
Answers
Explanation:
The word "increased" tells us to add a specific number to the addend. Let us take an example to understand the word "increased".
Example: 3 is increased by 4.
⇒ 3 + 4
Notice that the addend (3) is being increased (+) by 4.
HURRY SO EASY COMPUTER IS ABOUT TO DIE AGAIN
The pencils at a store cost $0.65 each. Each pencil weighs 1.85 ounces. All the pencils at the store have a combined weight of 44.4 ounces. How much would it cost to buy all the pencils at the store?
Answers
Answer:
$15.60
Step-by-step explanation:
Hey there!
In order to solve this word problem, we need to find out how much pencils there are first
To do that, we need to take the total amount of pencil weight, which is 44.4 ounces, and divide that by the weight of one pencil, which is 1.85
44.4 divided by 1.85 is 24
So now we know that there are 24 pencils total in that store
What they are asking is how much does it cost to buy all the pencils in the store
It is already given that one pencil costs $0.65 and we found out that there are 24 pencils in total
So what we need to do is multiply 24 and 0.65 to find out the total cost of all the pencils in the store
24 times 0.65 is 15.60
So the cost to buy all the pencils at the store is $15.60
What is an equation of the the line that passes through the point (-1,4) and is parallel to the line x+y=4
This is so important!! Ive tried everything
Answers
Answer:
y = -x + 3
Step-by-step explanation:
the equation is parallel to the line
y + x = 4
y = 4 - x
parallel means the same slope. So our new equation has a slope of -1
Now, the equation of a line is given by y = mx + b where m is the slope.
y = -x + b
now we plug in the points given in the question to find b.
4 = 1 + b
b = 3
so the final answer is y = -x +3
make sure to comment if you need any further guidance.
x + y = 4
y = -x + 4
m = -1
Equation of the required line:
y= -1x + b
Now plug-in (-1,4) in the above equation
4 = -1 * (-1) + b
4 = 1 + b
4 -1 = b
b = 3
Equation:
y = -x + 3
Let’s say that in these congruent triangles, the length of side AB in the first triangle is 6 feet. What is the length of side DE in the second triangle?
Answers
Answer:
6 feet
Step-by-step explanation:
Corresponding vertices of the congruent triangles are listed in the same order in the congruence statement. Given that ΔABC ≅ ΔDEF, that means vertices A and B correspond to vertices D and E.
Segment DE will have the same length as segment AB, 6 feet.
Answer:
6
Step-by-step explanation:
I need the answer to this please
Answers
Answer: the answer is D, if you just graph it in the Desmos graphing calculator you can solve it easily
Can someone explain how to get the answer, please? Thanks!
Answers
The median is 10,
And there is no mode.
The mean of a set of numbers is the sum divided by the number of terms,
7+15+12+6+10=50
There are 5 numbers in the set,
50/5=10.
10 is the mean.
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers,
6, 7, 10, 12, 15,
10 is in the middle so it is the median.
The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.
Just so you don’t confuse the data with the group sets,
The actual data set is 7, 15, 12, 6, and 10
This data paired with score column or group set means that,
10 people got a score of 1-10
6 people got a score of 11-20
12 people got a score of 21-30
15 people got a score of 31-40
And 7 people got a score of 41-50 :)
What is the measure of \angle D∠Dangle, D?
Answers
Answer:
74⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles us equal to 180⁰
Find the measure of the arc or angle indicated.
See picture for full problem. Please and thank you so very much!!!
Answers
the answer is 118 degrees
Answer:
Angle D = 118°
Step-by-step explanation:
Check out the attached photo.
please help me i don't know the problem
Answers
Answer:
see below
Step-by-step explanation:
y = 2x+2
The line is in slope intercept form
y = mx+2 where m is the slope and b is the y intercept
The line intercepts the y axis is b or 2 ( 0,2)
The slope is m = 2
It means we go up 2 and over 1 (2/1)
Starting at (0,2) , up 2 and to the right 1 is ( 1,4)
The next point would be (2,6)
A wall of a building is made from blocks that are each 1 cubic foot. The wall is 6 feet high and 6 feet wide. A window is made by removing some blocks as shown below. The window is 2 feet high by 2 feet wide. The wall is 6 feet high and 6 feet wide. The window is 2 feet high by 2 feet wide and is cut from the center of the wall. Suppose the wall is expanded to be 12 feet high by 12 feet wide, and the window is expanded to be 4 feet high by 4 feet wide. How will this change the volume of the wall? A. The volume will not change. B. The volume of the wall will double. C.
Answers
When the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
Volume of the wallThe volume of the wall is determined as follows;
V = h x w x t
where;
t is the thickness of the wallh is height of the wallw is width of the wallInitial volume of the wall when some blocks are removed to make a window is 2 feet high by 2 feet wide.
V1 = (6 - 2) x (6 - 2) x (t)
V1 = 16t ft³
Second volume of the wall when some blocks are removed to make a window is 4 feet high by 4 feet wide.
V2 = (12 - 4) x (12 - 4) x (t)
V2 = 64t ft³
V2 = 4(16t ft³)
V2 = 4(V1)
Thus, when the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
Learn more about volume of cuboid here: https://brainly.com/question/22694657
2; 4; 6; 8; ...
1. describe the relationship between the position of the term and the value of the term in the sequence in words
2. write down a general term for the sequence in terms of n: Term n = ........
3. use the general term to find the 10th and the 20th term in each sequence
Answers
Find the volume of this square-based pyramid. 12, 10, 10
Answers
Answer:
400
Step-by-step explanation:
so its actually really easy, take 10x10 and then multiply that by 12 and then divide by the exponent so in this case 10x10x12 then divide by 3
Answer: 400
Step-by-step explanation: 10*10*12/3
Step-by-step explanation: Is (2, 3) a solution to the equation y=x ?
Answers
Answer:
no
Step-by-step explanation:
if you substitute it:
3 = 2
but 3 is not equal to 2 so i dont think its a solution
Answer:
(2, 3) is not a solution to the equation y = x
Step-by-step explanation:
Looking at the point (2, 3), we see that the x-coordinate is 2 and the y-coordinate is 3. x = y is false. (2, 3) is not a solution to the equation y = x.
Can someone help with these questions?
Answers
Answer:
Step-by-step explanation:
#1. 5 and 51/2 since it has the greatest amount of dots and #2. 5.5, 6.0, and 8.0 since it has the least amount of dots
Answer:
1. 5 and 5 1/2
2. 5.5, 6.0 and 8.0
Step-by-step explanation:
1. Both shoe sizes had the most number of dots.
2. All three pearl sizes have the least number of dots.
pls help asap tysm: suppose 4
Answers
can you maybe write down the questions on my comment in here?
» Which sentence about measuring angles is true? An angle that turns through 10 360 of a circle has a measure of 10°. An angle that turns through 1 of a circle has a measure of 1°. 12 An angle that turns through 10 360 of a circle has a measure of 36°. 1) An angle that turns through 1 of a circle has a measure of 12°.
Answers
The correct answer would be: An angle that turns through 10/360 of a circle has a measure of 10°
There are no competing lemonade stands. One day, each lemonade stand recorded the number of glasses of lemonade they sold
each hour. The number of glasses of lemonade sold are shown in the box plot below.
Stand 1
Stand 2
14
15
16 17 18
19 20 21 22 23 24
Glasses of Lemonade Sold
Based on these samples, what generalization can be made?
A. The range of the hourly number of glasses at lemonade sold at stand 1 is less than the range of the hourly number of
glasses of lemonade sold at stand 2.
OB. The interquartile range of the hourly number of glasses of lemonade sold at stand 1 is greater than the interquartile range
of the hourly number of glasses of lemonade sold at stand 2.
OC. The third quartile of the hourly number of glasses of lemonade sold at stand 1 is less than the third quartile of the hourly
number of glasses of lemonade sold at stand 2.
OD. The median of the hourly number of glasses of lemonade sold at stand 1 is less than the median of the hourly number of
glasses of lemonade sold at stand 2.
Answers
Answer:
A
Step-by-step explanation:
I got it correct on study island.
What is the radius of circle C?
Answers
Answer:
5
Step-by-step explanation:
Check out the attached photo
Can someone help me with this?
Answers
Answer:
f (g(x)) = 1/x - 2
Step-by-step explanation:
Given :
f(x) = 1/xg(x) = x - 2To Find :
f (g(x))Solving :
f(x - 2) = 1/x - 2f (g(x)) = 1/x - 2Graph
The angle of elevation to a nearby tree from a point on the ground is measured to be 20∘
. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
33.49 feetStep-by-step explanation:
This is about the right triangle, where 92 feet side is adjacent leg to 20° angle, x - height.
Use trigonometry to find the height
x / 92 = tan 20°x = 92 tan 20°x = 33.49 feet (rounded)[tex]\\ \rm\rightarrowtail cot\theta=\dfrac{B}{P}[/tex]
[tex]\\ \rm\rightarrowtail cot20=\dfrac{92}{P}[/tex]
[tex]\\ \rm\rightarrowtail P=\dfrac{92}{cot20}[/tex]
[tex]\\ \rm\rightarrowtail P=\dfrac{92}{2.7475}[/tex]
[tex]\\ \rm\rightarrowtail P=33.49ft[/tex]
The measures of angles A and B are supplementary. What is the measure of each angle?
Answers
Answer:
any angle that can give the 180 degree is the answer but these angle is found face to face each other
After a 20% discount, the price of an article is 6800$. What is the original price of the article?
Answers
Answer:
The total of the discount would be 1,360.
Step-by-step explanation:
If a 6,800$ item had a 20% discount, subtract 6,800 by 20 in percentage, therefore the result would be 1,360 in discount.