Write 14/square root of 2 + square root of 50 in the form b square root of 2 where b is an integer
Answers
Step-by-step explanation:
[tex] \frac{14}{ \sqrt{2} } + \sqrt{50} \\ \frac{ \sqrt{2} \times \sqrt{2} \times 7}{ \sqrt{2} } + \sqrt{25 \times 2} \\ \\ 7 \sqrt{2} + 5 \sqrt{2} = 12 \sqrt{2} [/tex]
The given expression can be written in the form of b√2 as 12√2 where b = 12.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is [tex]14/\sqrt{2}+\sqrt{50}[/tex].
It can be rewritten as,
[tex]14/\sqrt{2}+\sqrt{50}[/tex]
Multiply √2 to both numerator and denominator of 14/√2 as,
14√2/2 + √50
⇒ 7√2 + √(5 × 5 × 2)
⇒ 7√2 + 5√2 = 12√2
On comparing 12√2 with b√2, it is obtained as,
b = 12
Hence, the given expression can be written as 12√2.
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Related Questions
What is the length of segment AB?
Answers
Answer:
Option 1
Step-by-step explanation:
Use Pythagorean theorem,
AB² = base² + altitude²
= 7² + 6²
= 49 + 36
= 85
AB =√85
Answer:
option a.
6²+7²=ab²(by Pythagoras theorem)
36+49=ab²
85=ab²
square root 85=ab
PLEASE HURRY PLEASE HURRY ILL MARK BRANLIEST
Answers
Answer:
Option 2 and option 4
Step-by-step explanation:
Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.
Giving brainlist please help!
9 - m
9 – m = 42
m - 9
m – 9 = 42
Answers
m - 9 = 42
42 is our final answer so that should be by itself.
If something is being decreased by 9, that means that we are taking away 9 from something so it should be m - 9.
Answer:
m-9=42
Step-by-step explanation:
I'm pretty sure that m-9=42 is the correct answer because m or the amount is being decreased by 9 as 9 is being subtracted from it.
Fill in the blanks HELPPP
Answers
tuesday: -28.5
Wednesday: -5
Thursday: -11.8
Friday: -4.5
Find the missing sides of the triangle. Leave your answers in simplest radical form. Please help!
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i need help on this
i will give Brainliyest if u answer this Corretly (lie = report)
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Answer:B
Step-by-step explanation:
you and your want to go rock climbing. How far is the top?
Answers
Answer:
the top is far up
Step-by-step explanation: if u fall u will die
round 0.0564 to 1 significant figure
Answers
Answer:
0.1
Step-by-step explanation:
anything after the decimal (.) becomes a sogfig
PLEASE HELP MEEE due in 2 minutes
Answers
Answer:
2/7
Step-by-step explanation:
because 14 can be reduced to 7and 4 can be reduced to 2
Answer: (C) 2/7
Step-by-step explanation: 2/7 is the same as 4/14
(-7x3 + 15x - 71) ÷ (x - 3)
Answers
Answer:
I dont know this
Step-by-step explanation:
PLEASE HELP ME SOMEONE UGH I HATE WORK IM SO BAD :(
Answers
Answer:
X=19/3
Step-by-step explanation:
3x=14+5
3x=19
X=19/3
and I feel you hegarty can be a pain in the a.ss
Answer:
see the answer above by picture. i think i helped mark me as brainlist plz
a) Work out angle x.
x
55°
b) Write down the value of angle y, giving a reason for your answer.
y =
67°
Answers
Answer:
math is hard for me but yeah a good place to find answers is here or ggl maybe search on gg and the at the end put answer key i do that a lot hope my
Step-by-step explanation:
explanation helps
Andrew owns a lawn-mowing business which contracts with 43 customers each week. Last week the business earned $870.75. How many weeks will it take to earn $6095.25?
Answers
Answer:
2
Step-by-step explanation:
please help me
Find the value of x using your knowledge of the relationship between interior and exterior angles.
Answers
Answer:
x = 152.6
Step-by-step explanation:
180 - 27.4 there you go
Answer: 152.6
Step-by-step explanation:
Remember the interior and exterior angle add up to 180°.
180 - 27.4 = 152.6
how do I explain this?
Answers
Answer:
Step-by-step explanation:
To do this, we have to prove that ∠1=∠5. We can do this using the corresponding angles theorem, which states that these two angles are congruent. Since ∠G=∠1, we can say ∠G=∠1=∠5, and as this, ∠G=∠5
Solve the equation for y. Type out your steps to solve this problem as you are showing your work:
4y – 4 = 2y + 8
Answers
4y - 4 = 2y + 8
subtract 2y from both sides
2y - 4 = 8
add 4 to both sides
2y = 12
divide both sides by 2
y = 6
Over the last three evenings, Ivanna received a total of 116 phone calls at the call center. The third evening, she received 4 times as many calls as the first
evening. The second evening, she received 10 fewer calls than the first evening. How many phone calls did she receive each evening?
Answers
Answer:
first evening = 21 phone calls
second evening = 11 phone calls
third evening = 84 phone calls
Step-by-step explanation:
Total phone calls = 116
Let
Number of calls in the first evening = x
The second evening = x - 10
The third evening = 4x
Total phone calls = first evening + second evening + third evening
116 = x + (x - 10) + 4x
116 = x + x - 10 + 4x
116 + 10 = 6x
126 = 6x
x = 126 / 6
x = 21 phone calls
Number of calls in the first evening = x
= 21 phone calls
The second evening = x - 10
= 21 - 10
= 11 phone calls
The third evening = 4x
= 4(21)
= 84 phone calls
You put $1000 in a savings account. The account earns 5% simple interest per year. How many years will the money need to remain in the savings account in order to earn $200 in interest?
Answers
Answer:
Im not sure but i think it is 30.
Step-by-step explanation:
Answer = 28years
After 28 years you’re principal would be $4,032 and 5% of that would be about 200$
What is the value of the expression 44?
Please help I only have an hour! I will give brainliest!
Answers
Answer:
256
Step-by-step explanation:
The value is 256 because 4^4 is 4*4*4*4 which equals 256 :))
Hope this helps:)) Plz mark Brainliest :))
6 over square root 3
Answers
Sorry if im wrong :)
Thomas decides on a destination for his vacation. If he takes the train there, it will take 5 1/8 hours to get there. If he takes the plane, it will take him 2 2/3 hours
Answers
Answer: 2 11/24
Step-by-step explanation:
How many hours does the plane save?
Time taken for the train = 5 1/8
Time taken for the plane = 2 2/3
The number of hours saved will then be:
= 5 1/8 - 2 2/3
Let the lowest common multiple be 24
= 5 3/24 - 2 16/24
= 2 11/24
The number of hours saved by the plane will be 2 11/24
The solution to a system of linear equations is (0,4) one of linear equations in the system is y=8x+4
Answers
Answer:
(-1/2, 4)
Step-by-step explanation:
Get the x intercept. The x intercept occurs at when y = 0
0 = 8x + 4
-8x = 4
x = 4/-8
x = -1/2
Get the y intercept
y intercept occurs at x = 0
y = 8(0) + 4
y = 0+4
y = 4
Hence the required solution is (-1/2, 4)
!!!Please Help!!! Urgent!!! -Geometry 1
FIND THE QUADRANTS OF POINT P of triangle PST, a 45°-45°-90° triangle with vertices S(3, −5) and T(−4, 2) and mangleS = 90°. P is in Quadrant I.
Answer in simplest radical form.
Please help it would be very much appreciated (:
Answers
Answer:
Coordinates of P: (10,2)
Step-by-step explanation:
Slope of ST = (2-(-5))/(-4-3) = -1
angle S = 90° so Slope of SP = 1
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Find the slope of (0,4), (-5,2)
Answers
Answer:
-4/5
Step-by-step explanation:
michelle says that 4,902 x 0.001 is the same as 4,902 ÷ 10³
Answers
Answer:
Michelle is correct.
Step-by-step explanation:
The statement Michelle said is valid and correct since 10 to the power of 3 in the denominator is equivalent to 0.001 in the numerator.
Dividing by 1,000 is the same as multiplying by 0.001.
The temperature at 6 AM what is -12°F the temperature increased by 1/2°F each hour for six hours what is the temperature in degrees Fahrenheit at noon
Answers
1/2 degree x 6 hours = 3 degree increase.
-12 + 3 = -9
The temperature at noon was -9 degrees.
The side of a box has length x feet, and another side has length (x-7) feet. What value of a would produce an area of 18 square feet?
Answers
Answer:
x=9
Step-by-step explanation:
(9-7) = 2
9 times 2 = 18 square feet
Value of x is 9 , -2
Given that;
Length of box = x feet
Width of box = (x - 7) feet
Area of box = 18 square feet
Find:
Value of x
Computation:
Area of rectangle = Length × Width
Area of rectangular box = x × (x - 7)
x² - 7x = 18
x² - 7x - 18 = 0
Using factorisation;
x² - 7x - 18 = 0
x² - (9 - 2)x - 18 = 0
x² - 9x + 2x - 18 = 0
x(x - 9) + 2(x - 9) = 0
(x - 9)(x + 2) = 0
So,
x = 9, x = -2
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Answer:
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Answers
Answer:
Step-by-step explanation:
A shirt increased by 1/4 after the increase it was priced at £65 what was the original price of the T-shirt
Each square is one square unit. Sienna uses the same square units to draw a 6 x 2 rectangle and says that it has the same area as the 3 x 4 rectangle. Is she correct?
Answers
Answer:
Yes, Sienna is correct because 6 times 2 is 12 and 3 times 4 is 12.