Answers
Answer:
16) 19/4
17) -1
18) equiangular
19) (n-2) x 180
20) 0,1
21) sector
22) 20
23) n(n-3)/2
24) 144
25) Raw
Related Questions
Rationalise the denominator of: -7/(√11 - √5)
Answers
[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.
If 40 meters of a cloth costs Rs 1940 how many meters can be bought for Rs 727.5
Plz explain
Answers
Answer:
15
Step-by-step explanation:
suppose x is the no. of cloth that can be bought in rs 727.5
then cost of 1meter cloth is rs 727.5×.....(i)
and cost of 40mtr cloth is rs 1940
then 1mtr cloth is 1940/40....(ii)
so from i and ii
we get
727.5/x = 1940/40
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?
Answers
Answer:
Step-by-step explanation:
74*5 = 370
370 - 65 - 70 -70 -80 = 85
So. you need to get 85 on your fifth test.
Pls help! A B C,or D
Answers
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
What is 45% of 345? Please help me I’m failing math
Answers
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
guys pls help me!!!!!!
Answers
Answer:
[tex]x = 67[/tex]
Step-by-step explanation:
[tex]x = 67[/tex]
[tex]Alternate \:Intrerior \: Angles[/tex]
Solve:
4x + 1.21 > 5
HELP ME PLEASE
Answers
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.
- How are the functions y = x and y = x + 4 related? How are their graphs related?
Answers
Answer:
Either horizontal translation 4 units to the left or vertical translation UP 4 units
Step-by-step explanation:
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
Answers
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
10 greater than less than, or equal to 5? Explain
Answers
Answer:
greater than because 10 is further to the right on a numberline than 5
Step-by-step explanation:
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.
Answers
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 7/10 ÷ 3/8 ? plz i need help
Answers
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
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)
Answers
2√5 exact form
4.47213595 decimal form
What is the answer to 11(3x + 5y)
Answers
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.
33x+55y
can you solve this for me step by step please!!!
Answers
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
find the sum of 5(−3.4k−7)+(3k+21) I AM SO CONFUSED!!!!!
Answers
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!
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
Answers
Answer:
C
Step-by-step explanation: for j(x) = k(x)
My English is not good, please forgive me
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?
Answers
Answer:
he got 5000 rands for it
Step-by-step explanation:
you multiply it
500 x 10 = 5000
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
Answers
PLEASE HELP WILL MARK BRAINLIEST!
Answers
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.
Solve the equation x2-81 = 0.
Answers
Answer:
40.5
Step-by-step explanation:
x2 - 81 = 0 --> + 81 to both sides
2x = 81 --> divide by 2 on both sides
x = 40.5
Answer:
2x-81=0
2x=0+81
2x=81
x=81
2
x=40.5 ANSWER.
MARK ME AS A BRAINLIST PLZ.
3 ft
10 ft
Perimeter:
Area:
Answers
Step-by-step explanation:
The area = 3 × 10 = 30
The perimeter = 2(3 + 10) = 26
please give me a brainliest answer
show that P(x)=x³-6x²+11x-6 is divisible by x-1.
Answers
HERE IS YOUR ANSWER MATE
HOPE ITS HELPFUL
HAVE A GREAT FUTURE
LOVE FROM INDIA
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
When using empirical data (data and information collected by scientists in an experiment), sometimes, that data will not form a perfect line on a graph. When this happens, the line that is created using a linear regression is known as the “Line of Best Fit.” The following speed data was collected from a car moving with a constant acceleration.
Time (s) Velocity (m/s)
2 13.1
4 19.8
6 28.1
8 34.6
What is the Line of Best Fit for this data? Perform a linear Regression on this table to find the equation.
Based on your equation, what was the car’s approximate initial velocity (at time=0)?
If the car continued at the same acceleration (meaning the slope of the line does not change), how fast would it be going in 15 seconds?
Answers
Answer:
98.25
Step-by-step explanation:
Is the statement “The absolute value of a number is always greater than its opposite” true?
Answers
Answer:
No; the absolute value of a negative number is equal to its opposite
Step-by-step explanation:
I need help with my math homework
2/3x+17≥29
Answers
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 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.
Answers
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:
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
Answers
Answer:
= 10 tickets
Step-by-step explanation:
= 20% × 50
= 20/100 × 50
= 1000/100
= 10
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
Answers
Answer:
5/12 is your answer
=^-^=
i think this is easy for yall but nor for me lol need help
Answers
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