Answer:
Fraction 3 out of 3 /4
Step-by-step explanation:
Rationalise the denominator of: -7/(√11 - √5)
[tex] \sf \underline{ \red{Solution - }} \\ [/tex]
Given,
[tex] \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} }} \\ [/tex]
The denominator is √11 - √5.
We know that
Rationalising factor of √a-√b is √a+√b.
Therefore, the rationalising factor of √11-√5 is √11+√5.
On rationalising the denominator them
[tex] \longrightarrow \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} \times \dfrac{(\sqrt{11} + \sqrt{5})}{(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Multiplying (√11 + √5) with both the numerator of the fraction.
[tex] \longrightarrow \sf{\quad { \dfrac{-7(\sqrt{11} + \sqrt{5}) }{(\sqrt{11} - \sqrt{5})(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{(\sqrt{11})^2 - (\sqrt{5})^2} }} \\ [/tex]
Writing the squares of the numbers in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{11 -5} }} \\ [/tex]
Performing subtraction in the denominator.
[tex] \longrightarrow \quad \underline{ \boxed{ \dfrac{ \textbf{ \textsf{-7 }}\sqrt{ \textbf{ \textsf{11 }}} - \textbf{ \textsf{7}}\sqrt{ \textbf{ \textsf{5 }}}}{ \textbf{ \textsf{ 6}}}} } \\ [/tex]
Hence, the denominator is rationalised.
i think this is easy for yall but nor for me lol need help
Answer:
x = 14
Step-by-step explanation:
So because the sides are equal, that means that the angles are equal.
5x = 3x + 28
Step 1.) Subtract 3x from 5x which leaves you with 2x.
2x = 28
Step 2.) Divide 28 by 2, to get the variable on its own. This leaves you with 14
x = 14
show that P(x)=x³-6x²+11x-6 is divisible by x-1.
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Hello haohaoxNienie!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]
To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
So, let's do the division (steps in the attached picture).
__________________
We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
More steps :-x² - 5x + 6
= (x - 3) (x - 2) [use the splitting the middle term method].
So, the zeroes are,
(x - 3)
x - 3 = 0
x = 3 ⇨ 1st zero.
(x - 2)
x - 2 = 0
x = 2 ⇨ 2nd zero.
Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
p(x) = x³ - 6x² + 11x - 6
p(3) = 3³ - 6(3)² + 11 (3) - 6
p(3) = 27 - 54 + 33 - 6
p(3) = 0.
p(x) = x³ - 6x² + 11x - 6
p(2) = 2³ - 6(2)² + 11 (2) - 6
p(2) = 8 - 24 + 22 - 6
p(2) = 0
Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
Hope it'll help you!
ℓu¢αzz ッ
an artist spent 3/5 of an hour painting 1/4 of a mural. how kuch of the mural will be completed in one hour how long will it take to complete one mural
Answer:
2.4hrs or 2hrs 24 minutes
Step-by-step explanation:
3/5 × 4/1 = 12/5
60÷5=12
12×12=144
144÷60=2.4hrs
What is the answer to 11(3x + 5y)
Answer:
33x + 55y
Step-by-step explanation:
1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.
[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]Therefore, the answer is 33x + 55y.
Simplify each of the following:
a. √5+2√6 + √5-2√6
b.(√p^2+1 - √p^2-1) (√p^2-1 + √p^2+1)
2√5 exact form
4.47213595 decimal form
guys pls help me!!!!!!
Answer:
[tex]x = 67[/tex]
Step-by-step explanation:
[tex]x = 67[/tex]
[tex]Alternate \:Intrerior \: Angles[/tex]
Your last 4 test scores are 65, 70, 80 and
70. If you want to finish with a 74
average, what do you need to get on your
fifth test?
Answer:
Step-by-step explanation:
74*5 = 370
370 - 65 - 70 -70 -80 = 85
So. you need to get 85 on your fifth test.
Is the statement “The absolute value of a number is always greater than its opposite” true?
Answer:
No; the absolute value of a negative number is equal to its opposite
Step-by-step explanation:
What is 75 times 38 to the power of 2
20% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all,
how many child tickets did it sell?
tickets
Answer:
= 10 tickets
Step-by-step explanation:
= 20% × 50
= 20/100 × 50
= 1000/100
= 10
10 greater than less than, or equal to 5? Explain
Answer:
greater than because 10 is further to the right on a numberline than 5
Step-by-step explanation:
the profit per gallon of lemonade you sell is 5.00. you have enough supplies to make 12 gallons of lemonade describe the domain and range using inequalities
Answer:
5/12 is your answer
=^-^=
Solve:
4x + 1.21 > 5
HELP ME PLEASE
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x > 0.9475[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]4x + 1.21 > 5\\\rule{150}{0.5}\\\rightarrow 4x + 1.21 - 1.21 > 5 - 1.21\\\\\rightarrow 4x > 3.79\\\\\rightarrow \frac{4x>3.79}4}\\\\\rightarrow \boxed{x > 0.9475}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
can you solve this for me step by step please!!!
Answer:
60 DEG
Step-by-step explanation:
Angle on a straight line = 180 DEG
Equation:
4x + 2x + 90 DEG = 180 DEG
6x = 90 DEG
x = 15 DEG
Therefore,
angle LMN = 15 * 4 = 60 DEG
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
P of rectangle = 2(L + W)
21 units = 2(n units + W)
21 units = 2nunits + 2W
21 = 2n + 2W
2W = 21 - 2n
W = 21 - 2n units.
2
on simplifying
10.5 - n units
The width of the rectangle is units (10.5 - n) units.
what is 7/10 ÷ 3/8 ? plz i need help
Answer:
28/15
Step-by-step explanation:
have a wonderful day :)
Answer:
1 13/15
Step-by-step explanation:
7/10 ÷ 3/8
Copy dot flip
7/10 * 8/3
Rewrite
7/3 * 8/10
Simplify
7/3 * 4/5
Multiply
28/15
Change to a mixed number
15 goes into 28 1 time with 13 left over
1 13/15
3 ft
10 ft
Perimeter:
Area:
Step-by-step explanation:
The area = 3 × 10 = 30
The perimeter = 2(3 + 10) = 26
please give me a brainliest answer
EMMA CHNAGED £500 INTO RAND BEFORE GOING ON HOLIDY TO SOUTH AFRICA THE RATE OF EXCHANGE AT THE TIME WAS £1=10-RAND.HOW MANY RAND DID HE GET FOR HIS £500?
Answer:
he got 5000 rands for it
Step-by-step explanation:
you multiply it
500 x 10 = 5000
When Zack checked his solution, it didn’t work. What was his mistake?
In step 1, he should have used the multiplication property of equality.
In step 2, he should have a constant of – 4 on the right side.
In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
In step 4, the answer should be positive.
Answer: its c In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
find the sum of 5(−3.4k−7)+(3k+21) I AM SO CONFUSED!!!!!
Answer:
Your answer is -14k - 14 or k = -1
Step-by-step explanation:
-17k - 35 + 3k + 21 ( Combine like terms )
-14k - 14
-14k = 14
k = -1
Hope this helps!
Write the equation of a line going through the points (2,2) and (4,-3) in slope intercept form.
Step 1: Find slope
Step 2: find b
Step by step answer please.
Answer:
the slope is y2 - y1 over
x2 - x1
which means
[tex]( - 3- 2) = - 5[/tex]
[tex](4 - 2) = 2[/tex]
slope is m= -5/2
then you take a y from the first set of points for b
[tex]y = - \frac{5}{2} x \times 2[/tex]
hope it helps.
What is 45% of 345? Please help me I’m failing math
Answer:
155.25
Step-by-step explanation:
Answer:
155.25
Step-by-step explanation:
Since 45% is equal to 0.45, simply multiply 0.45 x 345 and youll get 155.25
what is the equation of line that is perpendicular to the line: y=3x-6 and goes through the point ( -3 , 6 )
Step-by-step explanation:
y = 3x - 6
the slope of a line is always the factor of x in the equation. in our case here : 3 = 3/1.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.
so, in our case, it is -1/3.
the equation for the perpendicular line looks like this then :
y = (-1/3)×x + b
to get b we use the provided point and it's x and y values.
6 = (-1/3)×-3 + b = 1 + b
b = 5
so, the full equation of the perpendicular line is
y = (-1/3)×x + 5
please help me lol !!!!!!!!!!!!!
Answer:
Sale kute bhan के lole
Tera baap aya ajju(^bhai 94
Pls help! A B C,or D
Answer:
c or d
Step-by-step explanation:
Answer:
D. y = -2x - 10Step-by-step explanation:
Slope- intercept form:
y = mx + bIn the process of solving it was found that:
m = -2 and b = -10The equation therefore is:
y = -2x - 10Correct choice is D
HELP
In order to isolate the variable term in the equation 6 -2x = -3 using the subtraction property of equality, which number
should be subtracted from both sides of the equation?
-3
3
6
-2
I need help with my math homework
2/3x+17≥29
Answer:
x ≥ 18
Step-by-step explanation:
Given the inequality statement, 2/3x + 17 ≥ 29,
Subtract both sides by 17:
2/3x + 17 - 17 ≥ 29 - 17
2/3x ≥ 12
Multiply both sides by 3/2 to isolate x:
[tex](\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})[/tex]
x ≥ 18
When The sum of 1. 3240 and 1. 4872 is subtracted from 4. 0121 it will give you the difference of
A. 1. 2109
B. 2. 0905
C. 1. 2009
D. 2. 7009
Answer:
C. 1.2009
Step-by-step explanation:
1.3240 + 1.4872 = 2.8112
4.0121 - 2.8112 = 1.2009 - C
The functions j(x)=x−1 and k(x)=3x+1 intersect at:
A. Infinitely many points
B. 2 points
C. 1 point
D. There are no intersection points
Answer:
C
Step-by-step explanation: for j(x) = k(x)
My English is not good, please forgive me