Answer:
3
Step-by-step explanation:
(5÷5)+1+(6÷6)
1+1+(6÷6)
1+1+1
3
Hard question please help. I had to repost because last time I wanted to give more points but I forgot to.
If [tex]\frac{\sin^2 3A}{\sin^2 A} - \frac{\cos^2 3A}{\cos^2 A} = 2[/tex] find what [tex]\cos2A[/tex] is.
Best Answer gets the reaming 15!
Have Fun!
Use the angle sum identities to expand [tex]\sin(3A)[/tex] and [tex]\cos(3A)[/tex]:
[tex]\sin(3A)=\sin(A+2A)=\sin A\cos(2A)+\cos A\sin(2A)[/tex]
[tex]\cos(3A)=\cos(A+2A)=\cos A\cos(2A)-\sin A\sin(2A)[/tex]
Use the double angle identity to expand [tex]\sin(2A)[/tex]:
[tex]\sin(2A)=2\sin A\cos A[/tex]
So we have
[tex]\sin(3A)=\sin A\cos(2A)+2\cos^2A\sin A[/tex]
[tex]\cos(3A)=\cos A\cos(2A)-2\sin^2A\cos A[/tex]
Then divide the first expression by [tex]\sin A[/tex] and the second by [tex]\cos A[/tex]:
[tex]\dfrac{\sin(3A)}{\sin A}=\cos(2A)+2\cos^2A[/tex]
[tex]\dfrac{\cos(3A)}{\cos A}=\cos(2A)-2\sin^2A[/tex]
Squaring these gives
[tex]\dfrac{\sin^2(3A)}{\sin^2A}=(\cos(2A)+2\cos^2A)^2=\cos^2(2A)+4\cos(2A)\cos^2A+4\cos^4A[/tex]
[tex]\dfrac{\cos^2(3A)}{\cos^2A}=(\cos(2A)-2\sin^2A)^2=\cos^2(2A)-4\cos(2A)\sin^2A+4\sin^4A[/tex]
Subtract the second expression from the first to get the original equation. The [tex]\cos^2(2A)[/tex] terms cancel, leaving us with
[tex]4\cos(2A)\cos^2A+4\cos^4A+4\cos(2A)\sin^2A-4\sin^4A=2[/tex]
Now, notice that
[tex]4\cos(2A)\cos^2A+4\cos(2A)\sin^2A=4\cos(2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
and
[tex]4\cos^4A-4\sin^4A=4(\cos^2A-\sin^2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
because [tex]\cos^2A+\sin^2A=1[/tex] and [tex]\cos^2A-\sin^2A=\cos(2A)[/tex].
So we're left with
[tex]4\cos(2A)+4\cos(2A)=8\cos(2A)=2\implies\boxed{\cos(2A)=\dfrac14}[/tex]
Solve for the variable x
m = -12g + x
Answer:
x=m+12g
Step-by-step explanation:
m=-12g+x
making x subject of formula, we have,
x=m+12g
Hello there!
Question:-
[tex]\sf \longmapsto \: m = -12g + x[/tex]
We need to find the value of x.
Solution:-
[tex]\sf \: m = -12g + x[/tex]
Firstly, Over turn the equation:-
[tex]\sf \longmapsto - 12g + x = m[/tex]
Then Add 12 g to both sides:-
[tex]\sf \longmapsto - 12g+x+12g=m+12g[/tex]
This equation may be rewritten as :-
[tex]\sf \longmapsto - 12g + 12 g + x = m + 12g[/tex]
On Simplification:-
As (-) and (+) equals to (-),
[tex]\sf \longmapsto \: 1g + x = m + 12g[/tex]
[tex]\sf \longmapsto \: x = m + 12g[/tex]
______________________________________
Henceforth,the value of x is :-
[tex] \boxed{\huge \tt \: x = 12g + m}[/tex]
_______________________________
Please let me know if you have any questions.
~MisterBrian
combine like terms: 3x^2+4y-2x^2-x^2
Answer: 4y
Step-by-step explanation:
[tex]3x^{2} + 4y - 2x^{2} -1x^{2}[/tex] To
3x^2 - 2x^2 -1x^2 = 0
0 +4y = 4y
Which of the following is Equivalent to
3x - 4y = 6 ? Solve for y.
Answer:
Y = 3/4X - 3/2
Step-by-step explanation:
3X - 4y =6
3X - 6 =4Y
Y = 3/4X - 3/2
The value of Y for the expression 3x - 4y = 6 will be Y = 3/4X - 3/2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 3x - 4y = 6. The value for y will be calculated as,
3X - 4y =6
Rearrange the above equation and solve for Y,
3X - 6 =4Y
Y = 3/4X - 3/2
To know more about an expression follow
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m = 4 and x-intercept of -2 in slope- intercept form.
Answer:
y = 4x + 8
Step-by-step explanation:
Slope-intercept form:
y = mx + bm = 4
y = 4x + bx-intercept = -2, it means x = -2, y = 0
(-2, 0)Using this point we get the value of b
0 = 4*(-2) + b ⇒ b = 8The form now is:
y = 4x + 8Simply the following expressions:
Answer:
6. (2x - 1)
(3x + 2)
8. y - 3
y² - 3y + 9
Step-by-step explanation:
6. 2x² + 9x - 5
3x² + 17x + 10
= (2x - 1) (x + 5)
3x² + 17x + 10
= (2x - 1) (x + 5)
(3x + 2) (x + 5)
= (2x - 1)
(3x + 2)
8. y² - 9
y³ + 27
= (y + 3) (y - 3)
y³ + 27
= (y + 3) (y - 3)
(y+3) (y² - 3y + 9)
= y - 3
y² - 3y + 9
Answer:
see below
Step-by-step explanation:
6)
2x² + 9x - 5
------------------
3x² + 17x + 10
(2x - 1) (x + 5)
--------------------
3x² + 17x + 10
(2x - 1) (x + 5)
--------------------
(3x + 2) (x + 5)
(2x - 1)
-----------
(3x + 2)
8)
y² - 9
------------
y³ + 27
(y + 3) (y - 3)
--------------------
y³ + 27
(y + 3) (y - 3)
--------------------
(y+3) (y² - 3y + 9)
y - 3
---------------------
y² - 3y + 9
Please help!! Which of the following expressions is equivalent to (-7)^5? A)-7x-7x-7x-7x-7 B)-7x5 C)(-7)x7x(-7)x7x-7 D)5x5x5x5x5x5x5
(-7)^5 means that we are multiplying -7 to it self 5 times.
The only option that shows this is option A.
Best of Luck!
Answer:
7x7x7x7x7= 16807 A is correct.
Step-by-step explanation:7(77777) this means 7 is multiplying itself 5 times
Goodluck:)
I NEED AN ANSWER NOW!!! This is passed due!!! Dhruv is a car salesman. He is paid a salary of $2,200 per month, plus $500 for each car that he sells. His salary can be modeled by the equation f(x) = 500x + 2200, where x is the number of cars sold. Graph this equation and give its domain and range. A. D: {$500, $2700, $4900, $7100,...} R: {0, 1, 2, 3,...} B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...} C. D: {0, 1, 2, 3,...} R: {$500, $2700, $4900, 7100,...} D. D: {$2200, $2700, $3200, $3700,...} R: {0, 1, 2, 3,...}
Answer:
B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}Step-by-step explanation:
Given function is
f(x) = 500x + 2200The graph of this function is attached
Domain is input valueRange is output valueCorrect set of domains and ranges of the given function is:
Option BD: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}-. Six square-based pyramids fit exactly onto the six faces of a
cube of side 4 cm. If the volume of the object formed is
256 cm', find the height of each of the pyramids.
Answer:
60
Step-by-step explanation:
Solve: 3x + 5 - 13x = 25
Answer: x = -2
Step-by-step explanation:
3x+5 -13x =25 combine like terms on the left side
-10x + 5 = 25 Subtract 5 from both sides
-5 -5
-10x = 20 Divide both sides -10
x = -2
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
If we have the equation [tex]3x+5-13x=25[/tex], we can isolate x on one side and find it's value.
Let's combine like terms.
[tex]-10x + 5 = 25[/tex]
Subtract 5 from both sides:
[tex]-10x + 5 - 5 = 25 - 5\\\\-10x = 20[/tex]
Divide both sides by -10:
[tex]-10x\div-10 = 20\div-10\\\\x = -2[/tex]
So [tex]x = -2[/tex].
Hope this helped!
please i need help quick
Solve for x
x to the power of 2 = 49
There are 10 fifth-grade students attending a class field trip to the city’s art museum. If each admission ticket costs $6, what is the total cost of admission for the 10 students
Answer:
$60
Step-by-step explanation:
10x6=60. 6+6+6+6+6+6+6+6+6+6= 60
Help me please it’s practice
The quotient of forty-five and a number, r
The quotient of 45 and r is 45r . A quotient is the result of a division. For example, 84=2 . So, 2 is the quotient.
angle 2 and angle 4 are vertical angles prove angle 2 is congruent to angle 4
Answer:
use therome 2 and 3 and try it
Answer:
answer in picture
Step-by-step explanation:
Write 5.375 as a mixed number in simplest form
Answer:
5 3/8
Step-by-step explanation:
Step 1:
0.375 = 3/8
Step 2:
5 + 3/8
Answer:
5 3/8
Hope This Helps :)
Peter draws lines r and s as two distinct parallel lines. Select each statement that is true about lines r and s. Lines r and s have exactly one point in common. Lines r and s form at least one right angle. Lines r and s will never intersect. Lines r and s have no point in common.
=========================================================
Let's go through the answer choices one by one
A) This is false because parallel lines do not cross or intersect. They cannot have a point in common.B) This is false because lines need to cross in order to form a right angle. C) This is true. Parallel lines never intersect. They are the same distance away from one another at any point along either line. One example of parallel lines are the metal tracks in a railroad.D) This is true. Having a point in common means a point is on both lines at the same time, but parallel likes never cross. So they have no points in common.please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)______.
Answer for the blank is: 10
The exponents are -2, 3 and 9. Note how the bases are all the same at 4x. When we multiply exponential expressions like this, we add the exponents. So we'll get -2+3+9 = 1+9 = 10 as the final exponent over the base 4x
In short,
[tex](4x)^{-2}*(4x)^3*(4x)^9 =(4x)^{-2+3+9} = (4x)^{10}[/tex]
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)=10
What is the midpoint between the points (-4, 4) and (7, 7)?
PLEASE HURRY, ITS TIMED >>>>...
Answer: the answer is A
Step-by-step explanation:
I need help with my math to day.♀️
Answer:
8x + 1 + 6x + 5 = 90
14x + 6 = 90
14x = 84
x = 6
<DCB is 6x+5
6(6) + 5
36 + 5
41
Answer:
∠ DBC = 41°
Step-by-step explanation:
∠ DBC + ∠ DBA = 90° , substitute values
6x + 5 + 8x + 1 = 90, that is
14x + 6 = 90 ( subtract 6 from both sides )
14x = 84 ( divide both sides by 14 )
x = 6
Thus
∠ DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°
Solve: (5x - 3y + 2z)²
Answer:
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
Step-by-step explanation:
We multiply it out.
(5x - 3y + 2z) * (5x - 3y + 2z)
5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z
25[tex]x^{2}[/tex] - 15xy + 10xz - 15xy + 9[tex]y^{2}[/tex] - 6yz + 10xz - 6yz + 4[tex]z^{2}[/tex]
Add like terms
25[tex]x^{2}[/tex] - 15xy - 15xy + 10xz + 10xz + 9[tex]y^{2}[/tex] - 6yz - 6yz + 4[tex]z^{2}[/tex]
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
Help with these 3 I will give u a thanks
Answer:
3.6/5, 4. 9, 5. 11/2
Step-by-step explanation:
3. 2/5/6
= 2× 6/5
= 12/5
4. 7/9/7
= 7× 7/9
= 9
5. 8/11/4
= 8×4/11
= 11/2
hope you understand this answer
sorry if the answer is wrong
(01.01 MC)Which number line shows the solution to 6 + (−6)? A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown. PLS HELP ASAP !!!!!! WILL GIVE BRAINLIEST!!!!
Answer:
the first one
Step-by-step explanation: it worked for me i passed it
i need help i will give the brainleness thing to whoever can answer
Answer:
A=30cm, B=39cm
Step-by-step explanation:
They are an enlargement. Therefore, the sides are larger by the same proportion, otherwise, it wouldn't be an enlargement. Therefore, the bottom side of the big one is 3 times that of the small one. Therefore, the other sides are also 3 times, making A = 30cm and B = 39cm.
Answer:
A
12cm to 36cm is mulitiply by 3, so that means that you mutiply each of the other sides by 3 to get your answer
The Palue of the digit in the hundredths place is
times as great as the digit in the tenths place.
Work it out
hop
Answer:The value of the digit in the hundredths place is 10 times as great as the value of the digit in the tenths place.
Explained: The model shows that your number is 0.11
We have to find what we can multiply to become the 1 in the tenths place. Since they are the same number but in different places, we just multiply it by 10 to change the value.
So, if you multiply 10 by the 1 in the hundredths place, it will get you to the 1 in the tenths place.
♡Hope it helps♡
Is 740 divisible by 10?
yes
no
Answer:
yes
Step-by-step explanation:
since it ends with a zero it is divisible by ten. If you take the 0 off of 740 then it would be 74 and 74x10=740
Hope this helps.
The area of a square is 8 square meters. Which of these
closest to the length of one side of the square?
F 2 meters
G 2.8 meters
4 meters
H 3.5 meters
Answer:
G.
Step-by-step explanation:
Length = Square root of Square area
= √8 (-√8 is rejected as length is positive)
We know that √4 < √8 < √9 because 4 < 8 < 9.
=> 2 < √8 < 3.
The only answer that is in this range is G.
The difference of a number n and the number 8 is 42. Which of
the following equations represents this statement?
A)n/8 = 42
B) n - 8 = 42
C)n + 8 = 42
D) 8n = 42
E) n = 5
Answer:
B) n-8=42
Step-by-step explanation:
"difference" means subtraction.
the number is represented by "n" in this problem.
"and" indicates where the symbol goes.
"is" means "=".
The equation that represents the given statement should be n-8 = 42.
Given that
The number n and the number 8 difference should be 42.Based on the above information,
We know that the difference means subtraction.
So, the following equation should be made.
n - 8 = 42
Therefore we can conclude that The equation that represents the given statement should be n-8 = 42.
Learn more about the equation here: brainly.com/question/21105092