Answer:
(3x - y)(x + y)²Step-by-step explanation:
3x³ - x²y + 6x²y - 2xy² + 3xy² - y³ =x²(3x - y) + 2xy(3x - y) + y²(3x - y) =(3x - y)(x² + 2xy + y²) = (3x - y)(x + y)²Answer:
[tex](3x-y)(x+y)^2[/tex]
Step-by-step explanation:
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Multiply and combine like terms.
[tex]3x^3+xy^2-y^3+5xy^3[/tex]
Consider [tex]3x^3+xy^2-y^3+5xy^3[/tex] as a polynomial over variable x.
[tex]3x^3+5xy^2+y^2x-y^3[/tex]
Find one factor of the form kx^m +n, where kx^m divides the monomial with the highest power 3x^3 and n divides the constant factor −y^3 . One such factor is 3x−y. Factor the polynomial by dividing it by this factor.
[tex](3x-y)(x^2+2xy+y^2)[/tex]
Consider [tex]x^2+2xy+y^2[/tex]. Use the perfect square formula, [tex]a^2+2ab+b^2[/tex] = [tex](a+b)^2[/tex], where a=x and b=y.
[tex](x+y)^2[/tex]
Rewrite the complete factored expression.
[tex](3x-y)(x+y)^2[/tex]
Write these numbers in order of size.
Start with the smallest number.
9
-3
2.
-2
Smallest
Answer:
smallest -3,-2,2,9 biggest
Answer:
-3, -2, 2, 9
Step-by-step explanation:
-3 is the smallest (it is below 0), -2 is second because it is closer to 0 than -3 but still below it, 2 follows, and then 9
10 grade geometry, help me pleaseeeee
Answer:
Obtuse
Step-by-step explanation:
[tex]10^{2} > 3^{2} + 9^{2}[/tex]
Given the function f(x)= -3(x)^2 , find the value of f(4).
Step-by-step explanation:
f(x) = -3x²
f(4) = -3(4²)
= -48
3x+30=180 degrees, what is the value of the letter x in this problem?
Answer:
50
Step-by-step explanation:
180-30=150/3=50
3x + 30 = 180
-30 -30 subtract 30 on both sides, solve for 180 - 30 which is 150.
___________
3x = 150
__ ___ divide 3 on both sides, solve for 150 ÷ 3 which is 50.
3 3
x = 50, final answer
hope this helps! :)
A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall, how far away is the girl from the lighthouse? Please show
your work!
I need help plssss
Answer:
15.95 feets
Step-by-step explanation:
Given that:
Angle of elevation = 62°
Using trigonometric relation :
Tanθ = opposite / Adjacent
From the drawing attached :
Opposite = 30 feets
Distance between girl and lighthouse = d
Tan 62 = 30 / d
1.8807264 * d = 30
d = 30 / 1.8807264
d = 15.951283
d = 15.95 feets
find the volume of the cylinder
Answer:
hope help you stay happy and safe
Apply the distributive property to factor out the greatest common factor. 35+14=35+14=35, plus, 14, equals
Answer:
The greatest common factor is 7
[tex]35 + 14 = 49[/tex]
Step-by-step explanation:
Given
[tex]35 + 14 =[/tex]
Required
Apply distributive property
Express 35 as 7 * 5 and 14 as 7 * 2
[tex]35 + 14 = 7 * 5 + 7 * 2[/tex]
Apply distributive property
[tex]35 + 14 = 7 ( 5 + 2)[/tex]
The greatest common factor is 7
Solving further to get the solution
[tex]35 + 14 = 7 * 7[/tex]
[tex]35 + 14 = 49[/tex]
Answer:
7(5+2)
hope this helps <3
The neighbors have $18.57 to spend on strawberry plants. A 6-pack of plants costs $2. How many packs can they buy?
Answer:
9
Step-by-step explanation:
the answer is 9 because 18 $÷2 = 9
Answer:
9 packs
Step-by-step explanation:
18.57/2=9.285
Can't buy 1.285 one so we go back to 9 which is buyable with the money there is.
you don't have to do all of them
Answer: lol your using canvas
1. 63
2. D
3. B
4. A
Sorry for the bland explinations havin a bad day.
Step-by-step explanation:
1. The way we solve this is by adding the degrees 72 and 45. then we subtract it by 180. this is because in all triangles the angles always add up to 180 degrees.
2. Like question one what set of angles measures to 180 degrees.
3. The sides of a triangle should define the angle measurements. you can also see if its a triangle if the numbers are continues like 3,4,5 or in this case 4,5,6
4. like in questions 1 and 2 the angles of a triangle has to equal 180 degrees so 60 times 3 is 180 so each angle would have to be 60 degrees.
A can in the shape of a cylinder has a diameter of 6 centimeters and a height of
10 centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?
F 603.19 cm?
G 245.04 cm?
H 376.99 cm?
188.50 cm?
Answer:
I don't know the answer please
Find the value of X.
1.02 sinusoidal graphs
Answer:
The answer is 20
Step-by-step explanation:
The wave starts at the origin and doesn't complete the cycle until unit 20.
Answer:
[tex]\displaystyle 20[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{5} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{10}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle \boxed{y = sin\:\frac{\pi}{10}x} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cos\:\frac{\pi}{10}x,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 5\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 5\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{5} = \frac{\frac{\pi}{2}}{\frac{\pi}{10}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-15, 1],[/tex]from there to [tex]\displaystyle [5, 1],[/tex]they are obviously [tex]\displaystyle 20\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 20.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
5x^+20x +15=0
Pls help
if the diameter of the semicircle is 6 in fid the area in terms of pi?
Answer:
i think the is 14.13.
Step-by-step explanation:
Which expression is equivalent to 9.7d+4.1+5.1d-9.2
A) 13.8d−4.1
B) 14.8d+13.3
C) 4.6d−5.1
D −5.1+14.8d
Answer:
9.7d+4.1+5.1d-9.2
9.7d +5.1d+4.1-9.2 (take same element near)
d(9.7d +5.1) + 4.1-9.2
d(14.8) - 5.1
answer :
D −5.1+14.8d
Step-by-step explanation:
What is the Rotational speed of someone standing in Helsinki, Finland located at 60°11' N and 24°56' E.? (radius of the earth is 3960 miles)
Answer:
515.5 mph
Step-by-step explanation:
I am fairly confident we are taking the same test/quiz thing right now and I figured this one out so here ya go:
60 degrees + 11 sec = 60.183 degrees
3960 * cos(60.183) = 1969 some number in relation to the distance to the poles
2 * pi * 1969 = 12371.8
12371.8 / 24 = 515.5mph
look up "How to Calculate Rotational Speed Around Earths Axis" on YT, video is by " VAM! Physics & Engineering" that is where I found the formula stuffs
shoutout Woodinville
The function y = -16t+^2 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places.
Answer:
The water droplet will hit the ground 1.58 seconds after it started falling.
Step-by-step explanation:
The function:
y = -16*t^2 + 40
represents the height of a water droplet t seconds after falling from an icicle.
We want to find the value of t such that the water droplet hits the ground, and this will happen when y = 0.
Then we only need to solve the equation:
0 = y = -16*t^2 + 40
0 = -16*t^2 + 40
16*t^2 = 40
t^2 = 40/16
t = √(40/16) = 1.58
The water droplet will hit the ground 1.58 seconds after it started falling.
JK is perpednicular to ML at its midpoint K. list the congruent segments
Answer:
MK KL JK All are congruent with each other due to the mid point splitting the segments in ML in half.
Step-by-step explanation:
A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 5 seconds, the rock is traveling 160 feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear, and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.
Answer:
A) s=32t
B) 224 ft/s
Step-by-step explanation:
A)
In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between time, t, and speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:
y=mx+c
s=mt+c
32=1m+c
c=32-m
160=5m+C
160=5m+32-m
128=4m
m=32
c=32-m
=32-32=0
So our equation is s=32t
B)
s=32t
s=32(7)=224 ft/s
What is the slope of y=250-5x
Answer:
Step-by-step explanation:
The slope of the line is -5, and the y-intercept is 250
Write each polynomial in standard form.
Then, give the leading coefficient.
I
7. 12 + 3x2 - X
Help bestiess
7x=5x÷67
Answer:
7x=5x/67
Step-by-step explanation:
Which Superhero has the greater miles to second ratio
------------------------------------------------------------------------------------------
Choices are:
------------------------------------------------------------------------------------------
A) Super-Man
B) Iron-man
C)Neither they are both equivalent
------------------------------------------------------------------------------------------
Answer:
Super Man
Have a great day!
The difference of a number and 4 is no more than 8
Can someone help!?
Considering the definition of an inequality, the number must be less than 12.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, you know that the difference of a number and 4 is no more than 8.
Being "x" the number you want to know, and considering that the difference is the difference between two numbers or expressions, the inequality that expresses the previous relationship is
x - 4 < 8
Solving:
x < 8 +4
x < 12
Finally, the number must be less than 12.
Learn more about inequality:
https://brainly.com/question/17578702
https://brainly.com/question/25275758
https://brainly.com/question/14361489
https://brainly.com/question/1462764
Please help meeeeeee!!!!! ill give BRAINLIEST
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .
In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°. What is the measure of angle BCA in degrees? A 125.5°125.5 degrees B 54.5°54.5 degrees C 55.5°55.5 degrees D 64.5°
Answer:
B 54.5°
Step-by-step explanation:
Since we have a triangle,
CAB + ABC + BCA = 180 (sum of angles in a triangle)
Since CAB = 80° and ABC = 45.5°, substituting these into the equation, we have
80° + 45.5° + BCA = 180°
simplifying, we have
125.5° + BCA = 180°
collecting like terms, we have
BCA = 180° - 125.5°
BCA = 54.5°
So, the answer is B
HI PLEASE HELP IM KINDA CONFUSED WITH KINETIC ENERGY AND POTENTIAL ENERGY ANYONE CAN HELP?
Answer:
P
K
P
K
P
K
Step-by-step explanation:
If it's not moving, it's potential energy
If it's moving, it's kinetic energy
2. True or false: In an exponential expression, you multiply the base by the exponent.
True
False
Answer:
true
Step-by-step explanation:
For rectangle ABCD, find m∠DEC.
Neptune is 4.5 billion kilometers from the
sun. Represent this number in scientific
notation
Answer:
4.5 x 10 ^9
Step-by-step explanation:
Answer:
4.5*10^9
Step-by-step explanation: