please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{2}{5\sqrt{3} }[/tex]
To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]
= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]
= [tex]\frac{2\sqrt{3} }{15}[/tex]
-----------------------------------------------------------------------
Given
[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then
= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]
= [tex]\frac{9+4\sqrt{5} }{1}[/tex]
= 9 + 4[tex]\sqrt{5}[/tex]
please help me solve this!!
5x = 3y + 18
3x + 5y = 4
Answer:
Slope=
2.000
1.200
=0.600
x−intercept=
3
4
=1.33333
y−intercept=
−5
4
=−0.80000
thats the first one
Step-by-step explanation:
can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z
Answer:
x = -7 2/3, y = 1 1/3 and z = 5 1/3.
Step-by-step explanation:
2x+4y+3z=6 ..... 1
x-2y+z=-5 ...... 2
-x-3y-2z=-7 .......3
Add equations 2 and 3 to eliminate x:
-5y - z = -12 .....4
Multiply equation 2 by - 2:
-2x + 4y - 2z = 10
Add this to equation 1:
8y + z = 16 ........ 5
Now add equation 4 to equation 5:
3y = 4
y = 4/3 = 1 1/3.
Now find z by substituting for y in equation 4:
-5(4/3) - z = -12
z = 12 - 20/3
z = 36/3 - 20/3 = 16/3 = 5 1/3.
Finally, we find x by substituting for y and z in equation 1:
2x + 4*4/3 + 3*16/3 = 6
2x = 6 - 16/3 - 16
2x = 18/3 - 16/3 - 48/3 = -46/3
x = 23/3 = 7 2/3.
-7+0.3(-4x+20)+8.8x simplified
find the value of x - PLEASE HELP
I need to show my work -
Thank you!!
Answer:
360=297+(x-36)+25
360=297+25-36+x
360=286+x
360-286=x
74=x
Answer:
x = 74 degree
Step-by-step explanation:
All those angles must add up to 360 degrees:
360 degrees = (297 + x - 36 + 25) deg, or
360 = 297 - 36 + 25 + x, or
x = 74 degrees
15 = 9 -1/2x HELP!! PLZ
Answer:
x=-12
are you okay???
ok there’s the science slides , and i think they are quite easy i just need some help bc im lazy . ik this is the math thing but
Answer:
just look up the answers on google
Step-by-step explanation:
Help I need help on this question
Answer:
1/3 is the y intercept
Step-by-step explanation:
f(x) = -2/9x + 1/3
This is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-2/9 is the slope and 1/3 is the y intercept
Write the equation of a line with a slope of 1/4 and a y-intercept of -5 in slope intercept form.
Answer:
y=1/4x-5
Step-by-step explanation:
slope goes before x and y intercept is the number with no variable.
A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?
A) 1/2
B) -1/2
C) 2
D) -2
Answer: Its A
Step-by-step explanation:
Choose the correct written expression for: 25 – (3 x 4).
Answer:
13
Step-by-step explanation:
Answer:
25 minus the product of 3 and 4.
Step-by-step explanation:
PEMDAS
and... I just took the test and it was correct answer.
can someone help me with this
The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0
please help quickly
Answer:
Kindly check explanation
Step-by-step explanation:
Given the information above :
A) Cost equation for Newton Telephone company :
y = 8x
Where x = number of minutes used
y = total cost for x minutes
Cost equation for Tryus telephone company :
y = connection fee + (fee per minute * number of minutes)
y = 42 + (2x)
Where x = number of minutes used
y = total cost for x minutes
Amount is in cent
if 3n-4=8 then what is the value of 5n-3
(8x + 6) ° = ___°
8x =
x =
Answer:
7°
Step-by-step explanation:
(8x+6)°=62°
8x=62°-6°
8x= 56°
X=(56/8)
X==7°
ice cream store marks up price by 16% how much of original price was 1.25
Answer:
0.128
Step-by-step explanation:
To all math experts here. Please answer it.
Answer:
where are the functions below? or should they be equated? like f(x) with the g(x)??
√12
A. 2√5
B. 2√3
Which one?
Answer:
B. [tex]2\sqrt{3}[/tex]
Hope this helps!
Answer:
B.2√3
Explanation:
√2^2×√3
√2^2√3
2√3
If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP
Answer:
D
Step-by-step explanation:
How can you graphically tell if a quadratic equation will have a complex solution?
Answer:
If it does not cross the x axis.
Step-by-step explanation:
If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution
The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.
Simplify 9 to the 2nd power\ 9 to the 7th power
Answer:
9^2/9^7 = 9^-5
Step-by-step explanation:
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
Given the points: (-2, 0) and (4,8) find the slope
Answer:
1&1/3
Step-by-step explanation:
(y2 - y1) / (x2 - x1)
(8 - 0) / (4 +2)
8/6
1 1/3
angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.
Answer:
50° and 130°
Step-by-step explanation:
Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°
3x-4+8x-14=180°
11x-18=180°
11x=198°
x=18°
Angle1 = 3*18 -4 = 50°
Angle2 = 8*18 -14= 130°
A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m
Answer:
m=45
Step-by-step explanation:
I hour travels 45 minutes
Answer:
m=45h
Step-by-step explanation:
your welcome
It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?
Answer:
456
Step-by-step explanation:
Answer:
i think its 0.09
Step-by-step explanation:
pleaseeeeeeeeeeeeeeeee solve this
Answer:
360 degrees
Step-by-step explanation:
We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as the exterior angles of the given triangles, their sum will be 360 degrees as well.
Raymond uses the Venmo
app to transfer money to
his friends. He had $6.50.
He gave $2.95 to Theresa
and received $1.26 from
Peyton. How much money
does he have now?
Answer:
2.29
Step-by-step explanation:
2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.
Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?
simply the following 2m⁵×5m³×7m²
Answer:
[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]
Step-by-step explanation:
Simplify the expression
[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]
Calculate the product of the coefficients:
2*5*7=70
Compute the product of the variables. Since they are all the same letter, sum their exponents:
[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]
Combine the results:
[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]