Answers
Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
Related Questions
What is the slope of the line that passes through the points (-4,-2) and (-4,22)
Answers
Answer:
0
Step-by-step explanation:
( x1, y1 ) = ( - 4, - 2 )
Here,
x1 = - 4
y1 = - 2
( x2, y2 ) = ( - 4, 22 )
Here,
x2 = - 4
y2 = 22
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 22 - ( - 2 ) ) / ( - 4 - ( - 4 ) )
= ( 22 + 2 ) / ( - 4 + 4 )
= 24 / 0
= 0
20 POINTS HELP! IN PHOTO
Answers
what is 1+1?? i think its 11 bc yea like who even says that its 2?? GET YOURSELF TOGETERRRRRR EHHHEHEHEHEHEH <33. 6
Answers
Solve for x
33=x/2+15
Answers
Answer:
[tex]x=36[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.
Therefore, [tex]x = 36[/tex].
To check your answer, apply 36 to where [tex]x[/tex] is.
[tex]33=\frac{36}{2} +15[/tex]
⇒ [tex]33=18+15[/tex]
[tex]18+15=33[/tex] ☑
Answer:
[tex]\boxed{\sf x=36}[/tex]
Step-by-step explanation:
[tex]\sf 33=\cfrac{x}{2}+15[/tex]
[tex]\boxed {\sf Multiply\: both \:sides \:by \:2}[/tex]
[tex]\sf 66=x+30[/tex]
Swap sides so that all the variable terms are on the left hand side:
[tex]\sf x+30=66[/tex]
[tex]\boxed{\sf Subtract \:30\: from \:both \:sides}[/tex]
[tex]\sf x=66-30[/tex]
[tex]\boxed{\sf Subtract \: 30\: from \:66}[/tex]
[tex]\sf x=36[/tex]
_________________________
Can someone plsss help me with the circled question tysm if u doo :((
Answers
Answer:
4×sqrt(5) inches
Step-by-step explanation:
Pythagorean theorem states that (for right triangles) if you square each shorter side and add those together, you will get the sum of the longest side (hypotenuse) squared.
This is commonly written as:
a^2 + b^2 = c^2, where c is the hypotenuse.
((For right triangles this will always be opposite the 90° angle.))
Since you know one of the shorter sides and the hypotenuse, rewrite the equation as such:
c^2 - b^2 = a^2, where a is the unknown length
This goes to:
sqrt(c^2 - b^2) = a
sqrt((12in)^2 - (8in)^2) = a
sqrt(144sqin - 64sqin) = sqrt(80sqin) = a
This simplifies to:
sqrt(16sqin)×sqrt(5sqin) = 4in×sqrt(5sqin) = a
Help me please help help help help
Answers
Answer:
area of trapezium:
a+b divided by 2, times by the height.
so its 8+20=28.
28/2=14.
14*14=196.
area=196
Step-by-step explanation:
Wolfman and Dracula we’re having a contest to see who can scare people the most for every three people Dracula scare Wolfman scared seven if Wolfman scared 24 more people how many people were scared and all
Answers
At town has a population of 17000 and grows at 4% every year. What will be the population after 12 years, to the nearest whole number?
Answers
Answer:
25,160
Step-by-step explanation:
17,000 x 0.04 = 680
Town gains 680 people every year.
After 12 years, town will have 25,160 people.
This could also be wrong because it may be 4%+ the added people from the previous number. However, I think it is 25,160.
8h-2>3h+2
solve for h
Answers
Answer:
h >4/5
Step-by-step explanation:
8h-2>3h+2
Subtract 3h from each side
8h-3h-2>3h-3h+2
5h-2> 2
Add 2 to each side
5h-2+2> 2+2
5h >4
Divide by 5
5h/5 >4/5
h >4/5
Answer:
H can be any number larger than 4/5, i'm pretty sure
Step-by-step explanation:
8h-2>3h+2
8h-3h>2+2
5h>4
h>4/5
Twice the difference of a number squared and 7
Answers
Answer: 2(x^2-7)
Step-by-step explanation:
how to find the equation of a line that is parallel and passes through a point
Answers
Answer:
Step-by-step explanation:
Parallel line have the same slope. Put the reference line is y=mx+b format. m will be the slope. A parallel line must have the same m. Example:
y=2x+5 has a slope of 2 and a y-intercept of 5 (the value of y when x is 0). Any line witrh the same slope will be parallel. So with can write y=2x+b, where we'll change the y-interecpt so the the lines don't overlap. Once we know the parallel line must be y = 2x+b, we can enter the known point, e.g., (3,14), and calculate b:
y=2x+b
14=2*3+b
14=6+b
b=8
The parallel line to y=2x+5 is y=2x+8: It is parallel and goes through the point (3,14).
Find the value of x that makes p||q
Answers
Answer:
20
Step-by-step explanation:
90-50=40... therefor X must equal 20
Which statement is true about 737
O A) It is a prime number
OB) It is a composite number,
OC) It is a whole number that is neither prime nor composite
OD) It is not a whole number,
Answers
Answer:
A) It is a prime numberStep-by-step explanation:
Option A, is true about 73
As it is a prime number because it has only two distinct divisors: 1 and itself (73)
I'm pretty sure it's B because 737 isn't a prime number but 73 is a prime number
Profit and loss. Help plz
Answers
Answer:
351 minus 316 I think
Step-by-step explanation:
okay so you will do 351 minus 316 and ur answer is 35 so her profit is 35 dollars also known as 35$ I hope this helped!!
the fastest recorded Hawaiian lava flow moved at an average speed of 6 miles per hour. The function y=6x describes the distance y the lava moved on average in x hours. graph the function. use the graph to estimate how many miles the lava moved after 4.5 hours
Answers
Answer:
The answer is 27 6 times 4.5 is 27 Welcome!!!
Step-by-step explanation:
Brainiest ????
2 shops sell luxury chocolates.
Shop A : 200 g for £2.90
Shop B: 150 g for £2.15
Which shop offers the best value for money?
Answers
Answer:
shop b
Step-by-step explanation:
Can someone tell me the answer to this please
Answers
Answer:
132°
Step-by-step explanation:
Because the triangle is isosceles, the two base angles are the same. This means that two angles in the triangle are 24°
24 + 24 + ∠PON = 180° - first, simplify this
48 + ∠PON = 180° - now, subtract 48 from both sides
∠PON = 132°
Hope this helps!
What is 42893+2432743
Answers
Answer:
42,893 + 2,432,743 = 2,475,636
, Hope this helps :)
Have a great day!!
Answer:
[tex]\sf 42893+2432743[/tex]
[tex]\sf =2475636[/tex]
a) 3x²(5x²-2x-4)
b) xy²(x²y+x³y²+3x²y³)
c) xyz(x²y+3yz²+4xy²z)
Answers
Answer:
bobo ka ba
Step-by-step explanation:
name!https://youtu.be/vA3qDEMnB5k
82% of the 200 animals in a dog or cat rescue centers are cats. What percentage are dogs?
A. 82%
b. 59%
C. 24.39%
D. 41%
Answers
u may not understand this but what is 10 g/cm³ a measure of
. is it Volume Mass or density
Answers
A snail glides 4 metres in 2 hours
what is the average speed of the snail in metres/hour?
how far will it glide in 6 hours?
what is the time taken by the snail to glides a distant of 1 metre?
Answers
Answer:
2 metres per 1 hour
12 metres per 6 hours
30 minutes to glide 1 metre.
Step-by-step explanation:
1. To find the average speed, simply divide the distance covered by the amount of time taken, like so:
4 metres / 2 hours = 2 metres per 1 hour
2. To find how many metres the snail will glide in 6 hours, multiply the 2 metres per 1 hour by 6, like so:
6(2 metres per 1 hour) = 12 metres per 6 hours
3. Because we know that 2 metres take 1 hour to glide over, if we divide 2 in half, we get 1, so we can also divide 1 hour in half to get 30 minutes. Therefore, it takes 30 minutes to glide 1 metre.
Hope this helps :)
Simplify this expression s square root 5 (13+ square root 2)
Answers
Answer:
65 + 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
5(13 + [tex]\sqrt{2}[/tex]) ← multiply each term in the parenthesis by 5
= 65 + 5[tex]\sqrt{2}[/tex]
264 devided by 2= also i am sending more so look out
Answers
Answer:
132
Step-by-step explanation:
PLEASE HELP ASAP 40% of my grade relies on this question!!!!!!!
Answers
Answer:
To solve this, make d the subject from the eqn.
[tex]b = - \frac{1}{c} da[/tex]
[tex]d = - \frac{cb}{a} [/tex]
I need help ASAP!!! (please look at the image and explain how you got the answer, please and thanks)
Answers
Answer:
114
Step-by-step explanation:
so lets call shelf 1 x
shelf 2 is twice size + 18 of shelf 1 so it is 2(x)+18
shelf 3 is 12 less than shelf 1 so x-12
shelf 4 is four more so x+4
Add them all together and it should be 5x+10= 2.5 m or 250 cm
Solve for x using cm
then plug into shelf 2 equation
Plsss help me with this question!!!
Answers
69-15=54
54 divided by 2 = 27
Please help
Mr. Fisher rode his bike from point A to B, then to C, What distance did he travel?
Answers
Answer: 7 m
Step-by-step explanation:
4 + 3 = 7
Answer:
7m
Step-by-step explanation:
Basically, from point A up to B is 4m and from B east to C is 3m.
Hope this helps!
Multiply.5/9 3/10 Express your answer in the simplest form.
1 23/27 15/90 1/4 1/6
Answers
Step-by-step explanation:
5/9×3/10= 15/90 simplification is 1/6
the correct is 1/6
Answer:
The 4th answer is correct
Step-by-step explanation:
[tex]\frac{5}{9} *\frac{3}{10} \\\\[/tex]
[tex]\frac{5*3}{9*10}[/tex]
[tex]\frac{15}{90}[/tex]
Now you can make the answer as the simplest form divide both sides by 15
[tex]\frac{15}{90} =\frac{1}{6}[/tex]
ANSWER IS,
[tex]\frac{1}{6}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
A concert earned $3,745 in ticket sales. One ticket to the concert cost $35.
How many tickets were purchased for the concert?
Answers
Answer:
107 concert tickets were bought
Step-by-step explanation: