Answer:
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
Step-by-step explanation:
1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x
2
+2xy+y
2
)(x
2
+2xy+y
2
)
2 Expand by distributing sum groups.
{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
2
(x
2
+2xy+y
2
)+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
3 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
4 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
(x
2
+2xy+y
2
)
5 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
x
2
+2y
3
x+y
4
6 Collect like terms.
{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x
4
+(2x
3
y+2x
3
y)+(x
2
y
2
+4x
2
y
2
+x
2
y
2
)+(2xy
3
+2xy
3
)+y
4
7 Simplify.
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
answer: x^4+4x^3 y+6x^2 y^2+4xy^3+y^4
The graph below models the height of a remote-control helicopter over 20 seconds during flight.
Time (seconds)
Over which interval does the helicopter have the slowest average rate of change?
1) O to 5 seconds
3) 10 to 15 seconds
2) 5 to 10 seconds
4) 15 to 20 seconds
Answer:
2) 5 to 10
Step-by-step explanation:
The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.
Analyzing the intervals:
In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.
In the interval from 5 to 10 the height hardly changes.
In the interval from 10 to 15 the height changes more than in the previous interval (downward).
And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.
thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).
Which equation illustrates the commutative property of addition?
12 + 6 + 15 = 12 + 15 + 6
12 + 6 + 15 = 12 + (6 + 15)
12 + 6 + 15 = 18 + 15
12 + 6 + 15 = 12 + 6 + 15
Answer:
12 + 6 + 15 = 12 + 15 + 6
Hope this helps :D
please need help I will be MARKING as BRIANILIST. thank you so much.
12.167(option D)
Solution,
[tex]side \: length(s) = 2.3 \\ volume = {s}^{3} \\ \: \: \: \: \: \: \: \: \: \: = {(2.3)}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2.3 \times 2.3 \times 2.3 \\ \: \: \: \: \: \: \: \: = 12.167 \: {cm}^{3} \\ [/tex]
hope it helps...
Good luck on your assignment....
Answer:C.8.027
Step-by-step
V = s[tex]^{3}[/tex]
The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.
[tex]\frac{dV}{ds}[/tex](s[tex]^{3}[/tex]) =3s[tex]^{2}[/tex]We now plug in s =6
3s[tex]^{2}[/tex] = 3(6)[tex]^{2}[/tex] = 8.027[tex]\frac{cm3}{s}[/tex]The radius of an orange is 1.5 inches.
What is the volume of the orange?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.
Answer:
14.14
Step-by-step explanation:
V=4
3πr3=4
3·π·1.53≈14.13717
What is the value of h?
The graph shows the function f(x) = (2.5) was horizontally
translated left by a value of h to get the function g(x) = (2.5)
-2.
0
2
5
Answer:
Option (1). h = -2
Step-by-step explanation:
This question is incomplete: here is the complete question.
The graph shows the function f(x) = [tex](2.5)^{x}[/tex] was horizontally shifted by a value of h to get the function g(x) = [tex](2.5)^{x-h}[/tex]. What is the value of h ?
From the graph attached,
Point (0, 1) lies on function f(x).
If the graph of function f(x) is shifted h units left horizontally, rule for the translation will be,
f(x + h) → g(x)
For 2 units shift to the left horizontally,
f(x + 2) → g(x)
[tex](2.5)^{x+2}[/tex] = [tex](2.5)^{x-h}[/tex]
By comparing both the sides,
x + 2 = x - h
h = -2
Therefore, Option (1) will be the answer.
Answer:
A -2
Step-by-step explanation:
The ratio of the number of roses to the number of daises in a garden is 4:3. If there are 42 daises in the garden, how many roses are in the garden?
Answer:
56
Step-by-step explanation:
The 3 part of the ratio represents daisies.
Divide the number of daisies by 3 to find the value of one part of the ratio.
42 ÷ 3 = 14 ← value of 1 part of the ratio, thus
4 parts = 4 × 14 = 56 ← number of roses
The data below shows the scores of 9 students on a history test...
84,99,77,63,76,87,64,99,79
identify the minimum:
identify the median:
identify the maximum:
!!!please help!!!
which of the following is the additive identity of 5+2i
Answer:
Can you take a picture of the question so i could help!
Step-by-step explanation:
The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?
Answer:
1/6
Step-by-step explanation:
out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances
[tex]\frac{1}{6}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]
Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]
Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes
Number of possible outcomes [tex]=1[/tex]
Total number of outcomes [tex]=6[/tex]
Probability of rolling a [tex]6=\frac{1}{6}[/tex]
For more information:
https://brainly.com/question/11234923?referrer=searchResults
Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)?
please answer i need some help
Answer: - 1.10
Step-by-step explanation:
Point D is one space after -1 before -1.5.
Means it is at -1.10
HELP ASAP PLEASE
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Answer:
Step-by-step explanation:
The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5
yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
Answer:
yes
Step-by-step explanation:
i tried explaining it in a way that it wouldn't sound like I'm copying the answer above, but really, the answer above is correct and explains it well, refer to the answer above please
what is the value for Y
Answer: y = 27 degrees
Step-by-step explanation:
x = 90 degrees (right angle)
90 + 63 = 153
180 - 153 = 27
Determine the equation for the line of best fit to represent the data.
scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero
y equals two thirds times x plus 4
y equals negative two thirds times x plus 4
y equals negative three halves times x plus 4
y equals negative two thirds times x minus 4
Answer: B
Step-by-step explanation:
Given that the scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero. That is, (0 , 4 ) to ( 7, 0 )
Let's first find the slope M
M = (0 - 4)/( 7 - 0)
M = - 4/7
Since the line of best fit is linear, let adopt general equation of straight line
Y = MX + C
As the line passes through ( 0 , 4 )
Substitutes for Y and X
4 = - 4/7 (0) + C
C = 4
Where C = intercept
The equation for the line of best fit to represent the data will be:
Y = - 4/7 X + 4
Y equals negative two thirds times x plus 4
Answer:
It is B.
Step-by-step explanation:
I took the test... :)
please help answer thanks
The chemicals in my swimming pool use a ratio of 5 tablets of chlorine for every 14 days. Which ratio shows the number of chlorine tablets needed for 42 days? A. 14 to 42 B. 15 to 42 C. 19 to 42 D. 3 to 42
Answer: B (15 to 42)
Step-by-step explanation:
In order to get from 14 to 42, you must multiply by 3 (42/14 = 3). So to get an equivalent ratio, you must also multiply 5 by 3.
5:14 = 5*3:14*3 = 15:42 (B).
Answer:
15 to 42.-B
Step-by-step explanation:
5 tablets for every 14 days
X3
15 tablets every 42 days
PLZ HELP ASAP WILL GIVE BRAINLIEST- If the perimeter of the triangle is 91 inches, what is the length of the base? -Picture Below!
Answer:
Base = 35 inch
Step-by-step explanation:
Given that the triangle is an isosceles triangle;
The length of the two sides is: 12b - 8
The length of the base is: 9b + 8
Perimeter = 91 inches
Required
Calculate the length of the base;
The perimeter of a triangle is gotten by adding the length of the three sides.
So, in this case; we have
[tex]Perimeter = 12b - 8 + 12b - 8 + 9b + 8[/tex]
Collect like terms
[tex]Perimeter = 12b + 12b + 9b - 8 - 8 + 8[/tex]
[tex]Perimeter = 33b - 8[/tex]
Substitute 91 for Perimeter
[tex]91 = 33b - 8[/tex]
Add 8 to both sides
[tex]91 + 8 = 33b - 8 + 8[/tex]
[tex]99 = 33b[/tex]
Divide both sides by 33
[tex]\frac{99}{33} = \frac{33b}{33}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Recall that the base of the triangle is 9b + 8
Base = 9b + 8
Substitute 3 for b
Base = 9(3) + 8
Base = 27 + 8
Base = 35 inch
let g(x)= -x^2+4x+4. Find g(p). g(p)=_____
Answer:
g(p)= -p^2+4p+4
Step-by-step explanation:
g(x)= -x^2+4x+4
Replace x with p
g(p)= -p^2+4p+4
-5.8c + 4.2 - 3.1 + 1.40
Answer:
-3.3
Hope this helps!
Help :(((((((((( please
Answer:
the ratio of the circumference of a circle to its diameter
Step-by-step explanation:
Which expression gives the length of the transverse axis of the hyperbola
shown below?
Explanation:
Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.
As definition of hyperbola:
Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.
So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a
x-y=2a
Length of transverse axis is x-y.
hope it helps....
Good luck on your assignment
The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have given a hyperbola shown in the picture.
The green line indicates the transverse axis of the hyperbola.
As we know,
The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.
Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.
x-y=2a
The length of the transverse axis = x - y
Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
Learn more about the hyperbola here:
brainly.com/question/12919612
#SPJ5
x = ??
a) 1
b) 3
c) 7
Answer:
X=3
Step-by-step explanation:
∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*
[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]
Answer:
m∠ A=78°
m∠ B=12°
Step-by-step explanation:
∠A+∠B=90°
15x+3+5x-13=90
20x-10=90
20x=100
x=5
∠A=(15×5+3)°=(75+3)°=78°
∠B=(5×5-13)°=(25-13)°=12°
Can anyone help me with these two questions?
Step-by-step explanation:
Problem 5:
Since parallelogram ABCD has to be a parallelogram, than that means that all opposite sides have to be congruent on it. One side has to be equivalent to the opposite side, so the equation on that line is equivalent to the equation on the opposite side, as well. EXAMPLE: 5x = 3x+10, which turns to 2x = 10, which turns to x = 5.
Problem 6:
Just like Problem 5, the opposite lines in the middle of the rhombus have to be congruent to one another since the given shape must be a parallelogram. So 4x = 8, and that turns to x = 2. I solved all of these problems using multi-step equations.
Hope this helped!
What is the value of x?
6
8
010
O 12
Answer:
8
Step-by-step explanation:
The sum of the internal angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5, hence
sum = 180° × 3 = 540°
Each exterior angle plus interior angle = 180°
Subtract each exterior angle from 180 for corresponding interior angle.
180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118
Sum the 4 interior angles and subtract from 540 for 5 th interior angle
5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°
The 5 th interior angle and 12x sum to 180 ( same reason as above )
Hence
12x + 84 = 180 ( subtract 84 from both sides )
12x = 96 ( divide both sides by 12 )
x = 8
please mark me brainliest :)
Find the length of the segment QS.(Enter the just the value, without any units.)
Answer:
QS = 15
Step-by-step explanation:
Thales
QS/QT = RS/PT
QS = QT·RS/PT
= 20×12/16
= 240/16
= 15
plsssss help due todayy!!
[tex]answer \\ = 44 \ \frac{7}{8} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
If you pick a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8,10} A. 2 B. 3 C. 4 D. 5
Answer:
D 5
Step-by-step explanation:
1st outcome: 2
2nd outcome:4
3rd outcome:6
4th outcome:8
5th outcome:10
Answer:
5
Step-by-step explanation:
mark me brainliest :)
Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)
The simplest polynomial expression is
-26x^2+56x-15
Answer: -26x^2 + 56x -15
Step-by-step explanation:
3x(-2x + 7) - 5(x -1) (4x -3)
-6x^2 + 21x - (5x + 5)(4x-3)
-6x^2 + 21x -20x^2 +15x + 20x -15
= -26x^2 + 56x -15
Find the area of the following shapes:
Answer:The area is [tex]A=\frac{YZ+XW}{2}h=\frac{7+3}{2}(4)=20[/tex]
YZ = 5-2=3
XW = 8-1 = 7
h = 5-1=4 (height)
Answer:
20
Step-by-step explanation:
Split it up so it would be like this.
Small right triangle with dimensions of 1 x 4 = 2
Square 4 x 3 = 12
Other right triangle (the one on the right) 3 x 4 = 6
2 + 12 + 6 = 20
Hope this helps!
