prove that , a⁴+=47
[tex] \frac{1}{a 4} [/tex]
Step-by-step explanation:
Wyzant
ALGEBRA 2 ALGEBRA QUESTION
Ahnaf A. asked • 09/16/15
If a+1/a = 4, what is the of a4+1/a4 ?
IF a + 1/a = 4 . Then what is the value of a4 + 1/a4 ?
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Jon P. answered • 09/16/15
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First, notice that (a + 1/a)2 = 42 = 16. But also, (a + 1/a)2 = a2 + 2a(1/a) + 1/a2 = a2 + 2 + 1/a2 = a2 + 1/a2 + 2
So a2 + 1/a2 + 2 = 16, so a2 + 1/a2 = 14.
Now, do that again...
(a2 + 1/a2)2 = 142 = 196, but also (a2 + 1/a2)2 = a4 + 2(a2)(1/a2) + 1/a4 = a4 + 2 + 1/a4 = a4 + 1/a4 + 2
So a4 + 1/a4 + 2 = 196, so a4 + 1/a4 = 194
You can see the pattern... E.g., a8 + 1/a8 = 1942 - 2, etc.
...welcome...
Please Help?
If X = 5, what is the value of -2X + 2 + 5X + 8?
-2X + 2 + 5X + 8?
-2(5) + 2 + 5(5) + 8
-10 + 2 + 25 + 8
25
Answer: 25
Answer:
The answer would be 25.
Step-by-step explanation:
If x=5, that means:
-2(5)+2+5(5)+8
-10+2+25+8
-8+25+8
-17+8
25
Therefore, the value would be 25.
Hope this helps!!
witch equation represents a direct proportion?
Answer:
y=kx
Step-by-step explanation:
An elevator travels down from the top floor of a skyscraper. The graph below represents its height, in feet, over time in seconds. What does the slope of the line represent?
Answer:
So Y, which represents height, goes down depending on how far you are in time, which is X.
The slope of the graph represents the elevator's descent speed, calculated as 12 feet per second based on the points (1, 838) and (2, 826).
The Slope of the line in the graph represents the rate of change of height with respect to time, or the speed of the elevator's descent.
In this case, the slope can be calculated using the formula: slope = (change in height) / (change in time). We know that the elevator's height changes from 838 feet at 1 second to 826 feet at 2 seconds,
So, the change in height is : 838 - 826 = 12 feet, and the change in time is 2 - 1 = 1 second.
Therefore, the slope is 12 feet/second, this indicates that the elevator is descending at a speed of 12 feet per second.
Learn more about Slope here
https://brainly.com/question/25283029
#SPJ3
What are the endpoints of the major axis and minor axis of the ellipse? ((x - 2) ^ 2)/36 + ((y + 3) ^ 2)/24 = 1 Drag coordinates into the boxes to correctly complete the table
From the equation of the elipse, we have that:
The endpoints of the major axis are: [tex]x = -4[/tex] and [tex]x = 8[/tex]The endpoints of the minor axis are: [tex]y = -3 - \sqrt{24}[/tex] and [tex]y = -3 + \sqrt{24}[/tex].The equation of an elipse of center [tex](x_0,y_0)[/tex] has the following format:
[tex]\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 1[/tex]
If a > b, we have that:
The endpoints of the major axis are: [tex]x = x_0 \pm a[/tex]The endpoints of the minor axis are: [tex]y = y_0 \pm b[/tex]In this problem, the equation is:
[tex]\frac{(x - 2)^2}{36} + \frac{(y + 3)^2}{24} = 1[/tex]
Thus [tex]x_0 = 2, y_0 = -3, a = 6, b = \sqrt{24}[/tex]
For the major axis:
[tex]x = x_0 \pm a[/tex]
[tex]x = 2 \pm 6[/tex]
[tex]x = 2 - 6 = -4[/tex]
[tex]x = 2 + 6 = 8[/tex]
The endpoints of the major axis are: [tex]x = -4[/tex] and [tex]x = 8[/tex]
For the minor axis:
[tex]y = y_0 \pm b[/tex]
[tex]y = -3 \pm \sqrt{24}[/tex]
[tex]y = -3 - \sqrt{24}[/tex]
[tex]y = -3 + \sqrt{24}[/tex]
The endpoints of the minor axis are: [tex]y = -3 - \sqrt{24}[/tex] and [tex]y = -3 + \sqrt{24}[/tex].
A similar problem is given at https://brainly.com/question/21405803
Answer:
joaobezerra is right its just a bit confusing to understand but here you go
Step-by-step explanation:
2/3÷(-14) show your work.
Question is in the pic :)
Answer:
Since +P looks to be 7, -P would be -7
Hope this helps :)
Answer:
-7
Step-by-step explanation:
P is a variable, and P can only have 1 value. Thanks to the number line, we know what this value is. P is positive 7. If we know that the set value of P is positive 7, then we can just treat it like it is positive 7.
P - 5 = 2
P + 3 = 10
So putting a negative sign in front of P will mean it will be
- (7)
Activity 1: rewrite me!
1. write the equation 2x+3y=12into y=mx+b
Solution
2x+3y=12
2x + (____) + 3y = 12+(-2x)
(____)3y=(-2x+12)(____)
y= - ⅔x +4
Given:
Simplified as y= mx+ b
2.write the linear equation y= -2x -1 into Ax + By = C.
solution
y = -2x-1
y +(____) = - 2x + (___) - 1
2x + y = -1
Given:
Questions:
1. how did you write the linear equation y = mx + b to the form Ax + By = C?
2. how did you write Ax + By = C?
3. what mathematical concepts or principles did you apply to write each linear equation to standard form?
to y=mx+b form?
brainlest pag Tama ang sagot plus eh fo-follow ko na din.
nonesen report
1) The equation 2y + 3x = 12 in the y = mx + b form is [tex]y = -\frac{2}{3} x + 4[/tex]
2) The linear equation y = -2x - 1 in the Ax + By = C form is 2x + y = -1
The point-slope form of the equation of a line is y = mx + b
where m represents the slope
b represents the y-intercept
The given equation is:
2x + 3y = 12 (Given)
Subtract 2x from both sides
2x + (-2x) + 3y = 12 + (-2x)
3y = 12 - 2x (Equality property of addition)
3y = -2x + 12 (Commutative property of addition)
Divide both sides by 3
[tex]\frac{3y}{3} = -\frac{2}{3} x + \frac{12}{3} \\\\y = -\frac{2}{3} x + 4[/tex](Equality property of division)
2) Write the linear y = -2x - 1 into Ax + By = C
y = -2x - 1 (Given)
Add 2x to both sides
y + 2x = -2x + 2x - 1 (Equality property of addition)
y + 2x = -1
2x + y = -1 (Commutative property of addition)
Learn more here: https://brainly.com/question/19573990
hi please help me with number one:)
Answer:
(0,-1); (0,-2); (2,0); (2,-2)
Step-by-step explanation:
when rotating 180 degrees all the points have their coordinate sign's flipped.
so the points go from:
(0,1) --> (0,-1)
(0,2) --> (0,-2)
(-2,0) --> (2,0)
(-2,2) --> (2,-2)
so your new shape will have the points (0,-1); (0,-2); (2,0); (2,-2)
The area of each small square is 16 square centimeters. What is the side length of the window? Explain
Answer:
Length=4 cm
Step-by-step explanation:
Solve for L
L*W=A
16 cm^2=L*W
Since this a square. W will equal L.
So [tex]\sqrt{16} =4[/tex]
Meaning that the length is 4
The area of a square is given by:
Area = Side²
If the area of a square is 16 square centimeters, the side length of the window is 4 cm.
What is a square?A square is a four-sided polygon, whose all sides are equal in length and whose opposite sides are parallel to each other.
We have,
Area of the square = 16 square centimeters
The area of a square is given as:
Area = side²
Area = 16 cm²
16 cm² = side²
Square root on both sides
[ 4² = 16 ]
√16 cm² = √side²
Side = 4 cm
Thus if the area of the square is 16 square centimeters, the side length of the window is 4 cm.
Learn more about squares here:
https://brainly.com/question/22964077
#SPJ5
[tex]4,\pi ,8[/tex] how do i order from least to greatest
Answer:
[tex] \pi \: 4 \: 8[/tex]
Answer:
[tex]\pi, 4, 8[/tex]
Step-by-step explanation:
Note that [tex]\pi\approx3.14[/tex]. As [tex]3<3.14<4[/tex], [tex]\pi[/tex] comes before [tex]4[/tex].
Clearly [tex]4<8[/tex], so [tex]4[/tex] comes before [tex]8[/tex].
The only possible ordering is [tex]\boxed{\pi, 4, 8}[/tex]
I will give brainliest if the following questions get answered :3.86 + 0.9876.31 + 48.55126 + 87.457
Answer:
Your answer would be 140.855891 or 140.9 rounded.
Step-by-step explanation:
3.86+
0.9876.31+
48.55126+
87.457=
140.855891 or 140.9 rounded to the nearest tenth
Write the expression for each sentence below. Will give brainlist
1. the sum of 6 and t = 6+ t
2. the product of s and 12
3. the difference of 6 from 10
4. the quotient of 6 divided by t
5. 17 less than 20
6. increase s by 2s
7. decrease 10 by r
8. add 7 times x and 4 times s
9. the quotient of 17 minus 12 and 2
10. the product of 2 and x less 10
11. the product of 7 and 2 divided by 2
12. decrease the product of 8 and 6 by a number
Answer:
1.6t
2.12s
3.4
4.6
5.yes
6.2ss
7.10
8.x×x×x×x×x×x×x=×7
s×s×s×s=×4
9.-7
10.no
11.7
12.8×6=48
if mary has 36,392 ants and mary gives her 37,993 times that amount plus 3833 fewer ants how many ants does mary have? PLZ HELPP
Answer:
i dont know
Step-by-step explanation:
sorry
One hundred must be raised to what be equal to a million cubed
Answer:
100^9
Step-by-step explanation:
100 to the 9th power because 100^3 equals 1 million. think of it as (100^3)^3
Someone please help me
You don’t have to do all 4 but if you can do some that would be great.
Find the measure of the indicated angle that makes lines u and v parallel.
Answer:
13) ?=90°
14) ?=180°-48° (int angles, u//v)
=132°
15) ?=93° (alt angles, u//v)
16) ?=96° (alt angles, u//v)
Answer:
13: 90°
14: 132°
15: 87°
16: 84°
Step-by-step explanation:
Just subtract the value given from 180
Hope this helps!
Line L and m are prendicular with point of intersection P. Noah says that a 180 degree rotation with center p has the same effects on points in the plane as reflecting over line m. Do you agree with Noah? Explain your reasoning
The point of intersection is the point where two or more lines meet.
Noah's claim is incorrect
The given parameters are:
Line l, line m and point of intersection p
See attachment for illustration of the perpendicular lines l and m.
Figure 1 represents the original lineFigure 2 represents the line rotated 180 degreesFigure 3 represents the line reflected over line mUsing the attachment as a guide, we can see that both transformations do not have the same effect on the points on both lines.
This is so because, figures 2 and 3 can be transformed to one another by reflecting across line l.
Hence, Noah's claim is incorrect
Read more about transformations at:
https://brainly.com/question/13801312
It took a dog groomer 72 minutes to wash 2 dogs. How long will it take him to wash 9 more dogs if he continues to wash at the same pace?
PLEASE PLEASE PLEASE ANSWER QUICKLY AND EXPLAIN HOW YOU GOT THE ANSWER (No spam answers or ill report you and your account)
Maggie makes some fruit punch. She mixes 2 1/2 quarts of grape juice with 1 1/2 quarts of orange juice. One quart of grape juice costs $1 less than one quart of orange juice. She finds that the total of making the fruit punch is $12.50. Calculate the cost of each quart of grape juice and each quart of orange juice.
Can anyone solve this???
Answer:
4
Step-by-step explanation:
dmndndndndndnndndnndndnndndndnxmxn que la vida
-3(x+4)-8x>21 solve this equation
Answer:
the answer:
Step-by-step explanation:
pls, crown or star. <3
Answer:x<-3
Step-by-step explanation:
-3(x+4)-8x>21
-3x-12-8x>21
-11x-12>21
-11x>33
x<-3
O A. 60.24 O B. 602.4 C. 6024 O D. 62.04
Answer:
A. 60.24
Step-by-step explanation:
I worked it out in the photo !
Can anyone help me with this
Answer:
the answer is option D......
Could someone please help answer this, no spam please, will give brainliest (homework help) thank you!
Answer:
[tex]1~3/4[/tex]
Step-by-step explanation:
Let [tex]k[/tex] be the amount of pork Mike uses. Then, he uses [tex]3k[/tex] beef.
We know he uses 7 pounds, of meat so we want to solve [tex]3k+k=7[/tex].
Combining like terms on the left side gives [tex]4k=7[/tex].
We can divide both sides by [tex]4[/tex] to get [tex]k=7/4=1~3/4[/tex].
So, the answer is [tex]\boxed{1~3/4}[/tex].
Find the length of segment AB if A (4, 1) and B(1,3). Round to the nearest hundredth, if needed.
AB = _ units
Answer:
[tex] \sqrt{13} [/tex]
Step-by-step explanation:
A(4;1) B(1;3)
●use distance formula (see photo^)
Solve each absolute value equation
-4[x] + 10 = 50
[tex]\large\boxed{\mathsf{-4[x] + 10 = 50}}\\\large\boxed{\rightarrow\mathsf{-4x + 10 = 50}}\\\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\large\boxed{\mathsf{-4x + 10 - 10 = 50 - 10}}\\\large\text{CANCEL out: 10 - 10 because that gives you 0}\\\large\text{KEEP: 50 - 10 because it helps solve for the x-value}\\\\\large\boxed{\mathsf{50 - 10 = \bf 40}}\\\large\boxed{\mathsf{-4x = 40}}\\\\\large\text{DIVIDE -4 to BOTH SIDES}\\\large\boxed{\mathsf{\dfrac{-4x}{4}=\dfrac{40}{-4}}}[/tex]
[tex]\large\text{CANCEL out: }\rm{\dfrac{-4}{-4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\rm{\dfrac{40}{-4}}\large\text{ because it gives you the x-value answer}\\\\\large\boxed{\mathsf{x = \dfrac{40}{-4}}}\\\\\large\text{SIMPLIFY IT AND YOU HAVE THE RESULT OF THE X! }\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{x = -10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex] \sf{ \:the \: value \: of \: x = \: ? } \\ [/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex]\textsf{Given equation,}\\[/tex]
[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]
Now, multiply -4 from (x) to get -4x.[tex] \sf{ \Rightarrow \: - 4x + 10 = 50 } \\ [/tex]
Now, +10 will move to RHS then it's sign will be charged -10[tex] \sf{ \Rightarrow \: - 4x = 50 - 10} \\ [/tex]
Subtract 50 from -10 to get 40. Because 50 is greater than -10.[tex] \sf{ \Rightarrow \: - 4x = 40 } \\ [/tex]
[tex] \sf{ \Rightarrow \: x = \cancel\frac{ - {40}^{- 10 }}{4}} \\ [/tex]
[tex] { \: \therefore \: \underline{ \boxed{{ \sf{x = - 10.}}}}}[/tex]
Solve for x !!!!plzzzzz
Answer:
12x-4=80
12x=80+4
=84
x=84÷12
=7
Question 11 (5 points)
(01.05 MC)
3
Which fraction is equivalent to 3/-5
Answer:
- 3 / 5
Step-by-step explanation:
3 / - 5
= - 1 x 3 / 5
= - 3 / 5
pls help help help help help help
