Answer:
A - is the best answer...
cos^8a+sin^8a=1-sin^22a+1/8sin^4a
cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²
=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A
=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴
=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴
//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A
=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴
=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A
=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A
=> 1 - Sin²2A + 1/8Sin⁴2A
=> R.H.S
Your friend incorrectly factors the expression
15x - 20xy as 5x(3 – 4xy).
-
Factor the expression correctly.
Answer:
5x(3 - 4y)
Step-by-step explanation:
Answer:
5x(3-4y)
Step-by-step explanation:
2/3÷(-14) show your work.
The area of the rectangle shown is 73 sq. Feet. Which equation can be used to find “x”.
A) 6x + 9 = 73
B) 2x + 18 = 73
C) 6x + 3 = 73
D) 6x + 18 = 73
Answer:
6x+18=73
Step-by-step explanation:
Rectangle area w*l
(x+3)*6=73
6x+18=73
The average of three numbers is 30 two of the numbers is the is 28 and 35 what's is the third number
Answer:
27
Step-by-step explanation:
3 numbers=30x3=90
third number=90-28-35=27
Hope this helps! Thanks.
1 - 2x + 3y for x = -2 and y= -5
Answer:
All you need to do is plug the values and then simplify!
[tex] \large{ \tt{ - 2x + 3y}}[/tex]
Plug the value of x and y :[tex] \longrightarrow \: \large{ \tt{ - 2 \times ( - 2) + 3 \times ( - 5)}}[/tex]
When negative integer is multiplied by negative integers , we get positive integer & when positive integer is multiplied by negative integer , we get negative integer.[tex] \longrightarrow \large{ \tt4 + ( - 15){}}[/tex]
[tex] \longrightarrow \large{ \tt{4 - 15}}[/tex]
[tex] \longrightarrow{ \large{ \boxed{ \tt{ - 11}}}}[/tex]
Hence , Our simplified answer is -11 .~Hope this helps! *Let me know if you have any other queries regarding my answer ! <3
Pls helppppppppppp!!!!
What is the result when (-12) is subtracted from (- 8) ? *
Answer:
-20
Step-by-step explanation:
All that you have to do for this question is just form the equation:
-12-8=x
And solve, which is:
-20
PLEASE HELP NOW! NO FAKE ANSWERS!!!!!!!!!!!!!!
Answer:
D becuase its given tht she spens $2 on cerial and x is the cost of apples per pound
Step-by-step explanation:
Have a good day, keep learning
Answer:
[tex]4x + $2.00[/tex]
Step-by-step explanation:
This is because the cost of the box of cereal is $2.00 and the cost of 4 pounds of apples at a cost of x dollars per pound is 4x so in conclusion the total cost will be $2.00+4x or 4x+$2.00
(2a-1)(2a-1)-(2a+3)(2a+3)
Answer:
-16a-8
Step-by-step explanation:
(
2
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{\color{#c92786}{(2a-1)(2a-1)}}-(2a+3)(2a+3)
(2a−1)(2a−1)−(2a+3)(2a+3)
2
(
2
−
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1
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Answer:
− 1 6 − 8
Step-by-step explanation:
what is (-1/8c+16)-(3/8+3c) simplified
Answer:
Step-by-step explanation:
you can go to (math) it usually helps me a lot with stuff and maths x hope u find ur answer(way).
check the things in brackets that how the site its called.
Which of the following is the correct graph of the solution to the inequality -82 -5x + 2 > -38?
Answer:
8.4
Step-by-step explanation:
+82
-5x+2>44
-2
-5x>42
divde by +5
x=8.4
I will brainlist who can answer this 5 Questions!
A b c Choices!
subtract the value of 3 from the value of the 1 in the number 2103
Answer:
97
Step-by-step explanation:
100 - 3 = 97
PLEASE, MARK ME BRAINLIESThelp me with this smart math people
Answer:8.72
Step-by-step explanation:
26.16/3=8.72
Answer:
Cost per pound = $8.72
Step-by-step explanation:
Since Mrs. Thomas spent $26.16 for 3 pounds' worth of turkey, all you need to do is divide $26.16 by 3 to get the cost per pound.
$26.16 ÷ 3 pounds = $8.72 per pound of turkey
If marked price = $1700, selling price = $1540 Then find the discount?
Answer:
1700-1540=160
Answer:
1700-1540=160
mp=160/1540*1700
17'1630
I need help please help
Answer:
Im not sure
Step-by-step explanation:
Write an algebraic expression into words 9m-3
Answer:
subtract 3 from the product of 9 and m
HELP PLEASE............,,,,,.,,,,,
Answer:
a. $77.5 for 5 tickets
b. You can by 8 tickets with $130
Step-by-step explanation:
Answer:
a) $77.50
b) 8 tickets
Step-by-step explanation:
a) C(x) = 17.5(x) - 10
C = 17.5(5) - 10
C = $77.50
b) C(x) = 17.5(x) - 10
130 = 17.5(x) - 10
130 + 10 = 17.5(x) -10 + 10
140 = 17.5(x)
140/17.5 = (x)
8 = x
Given m||n, find the value of x.
(7x+6)° (9x-24)°
Answer:
X=15
I hope this helps also I would appricate brainliest if possible :)
I have no idea how to find multiple angles i was only taught how to find one..
Answer:
36+63+_=180
Step-by-step explanation:
just add up everything in the smaller triangle to get 180
then ignore the line inside of the bigger triangle and repeat the first step, but only just look at the bigger one! that is how to do it, but I won't give the answer, good luck! ;)
It started snowing at fourteen minutes to eleven in the morning. The snow stopped falling at five to midnight. How long did it snow?
Answer:
13 hours and 9 minutes
Step-by-step explanation:
Answer:
If I'm correct it should be 13 hr with an additional 9 min.
Step-by-step explanation:
Find the LCD of the fractions and enter them
4/8 and 4/6
Answer:
The LCD IS 6
Step-by-step explanation:
Solve z=sh/s+h for s
Answer:
[tex]\displaystyle s = \frac{hz}{h-z}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle z = \frac{sh}{s+h}[/tex]
And we want to solve it for s.
First, we can multiply both sides by the denominator:
[tex]\displaystyle z(s+h) = sh[/tex]
Distribute:
[tex]\displaystyle sz + hz = sh[/tex]
Subtract hz and sh from both sides:
[tex]\displaystyle sz - sh = -hz[/tex]
Factor:
[tex]\displaystyle s(z-h) = -hz[/tex]
And divide. Hence:
[tex]\displaystyle s = \frac{-hz}{z-h} = - \frac{hz}{z-h} = \frac{hz}{h-z}[/tex]
Any one of the above three forms are correct, although the third form is preferred because it omits the additional negative.
Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
2x+65=4x−3
Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:
A car covers the distance between two cities in 6 hours. A van covers the same distance in 5.5 hours by travelling 4 km/h faster than the car. What is the distance between the two cities? Find the speed of the car and the van.
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
A car covers the distance between two cities in 6 hours.
A van covers the same distance in 5.5 hours.
The speed of the van is 4 km per hour faster than the speed of car.
Let assume that
Speed of the car be x km per hour
So,
Speed of van is x + 4 km per hour.
Let further assume that
Distance between two cities be y km.
We know, Distance covered = Speed × Time.
➢ Now, Distance (y) covered by car at the speed of x km per hour in 6 hours is
[tex]\rm :\longmapsto\:\boxed{\tt{ y = 6x}} - - - - (1)[/tex]
➢ Also, Distance (y) covered by van at the speed of x + 4 km per hour in 5.5 hours is
[tex]\rm :\longmapsto\:\boxed{\tt{ y = 5.5(x + 4)}} - - - - (2)[/tex]
So, from equation (1) and (2), we have
[tex]\rm :\longmapsto\:6x = 5.5(x + 4)[/tex]
[tex]\rm :\longmapsto\:6x = 5.5x + 22[/tex]
[tex]\rm :\longmapsto\:6x - 5.5x = 22[/tex]
[tex]\rm :\longmapsto\:0.5x = 22[/tex]
[tex]\rm :\longmapsto\:\dfrac{5}{10} \times x = 22[/tex]
[tex]\rm :\longmapsto\:\dfrac{1}{2} \times x = 22[/tex]
[tex]\bf\implies \:x = 44[/tex]
On substituting the value of x, in equation (1), we have
[tex]\rm :\longmapsto\:y = 6 \times 44[/tex]
[tex]\bf\implies \:y = 264[/tex]
So,
[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\sf{Distance \: between \: cities = 264 \: km} \\ \\ &\sf{Speed \: of \: car \: = \: 44 \: km \: per \: hour}\\ \\ &\sf{Speed \: of \: van \: = \: 48 \: km \: per \: hour} \end{cases}\end{gathered}\end{gathered}[/tex]
Evaluate the expression when m= -3. m²+8m-7
Answer:
-22
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Tupac bought a new video game. While he learned how to play, he played 5 games and had a
combined score of -325 points. Write and find the value of an expression for the average number
of points he lost in the first 5 games.
I WILL MARK BRAINLIEST! NO FAKE ANSWERS
A jug contains 3.2 L of water. If a glass has a capacity of 220 ml, how many such glasses can the jug fill?
Answer:
68.75
Step-by-step explanation:
220 / 3.2 = 68.75
(Not sure if this helps, but I hope it does!)
Q3). 0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The values of :
[tex]x = 2[/tex][tex]y = 3[/tex]The given equations are :
[tex]0.4x + 0.3y = 1.7[/tex][tex]0.7x - 0.2y = 0.8[/tex]now, let's multiply both the equations with 10 on both sides.
so, now our equations will be :
[tex]4x + 3y = 17[/tex][tex]7x - 2y = 8[/tex]from Equation second :
[tex]7x - 2y = 8[/tex][tex]2y = 7x - 8[/tex][tex]y = \dfrac{7x - 8}{2} [/tex]now, let's substitute the value of y from here into Equation first.
[tex]4x + 3y = 17[/tex][tex]4x +3 \bigg ( \dfrac{7x - 8}{2} \bigg) = 17[/tex][tex]4x + \dfrac{21x - 24}{2} = 17[/tex][tex] \dfrac{8x + 21x - 24}{2} = 17[/tex][tex] \dfrac{ 29x - 24 }{2} = 17[/tex][tex]29x - 24 = 34[/tex][tex]29x = 34 + 24[/tex][tex]29x = 58[/tex][tex]x = \dfrac{58}{29} [/tex][tex]x = 2[/tex]here, we got the value of x = 2, let's plug it in equation second to find value of y :
[tex]7x - 2y = 8[/tex][tex]7(2) - 2y = 8[/tex][tex]14 - 2y = 8[/tex][tex]2y = 14 - 8[/tex][tex]2y = 6[/tex][tex]y = \dfrac{6}{2} [/tex][tex]y = 3[/tex]And value of y = 3