HCF of (a^3+b^3 ) & (a^4+a^2b^2+b^4)?
Answer:
a^2-ab+b^2
Step-by-step explanation:
factorize both of them.
Answer:
Step-by-step explanation:
Remember:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)\\[/tex]
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\a^4+a^2b^2+b^4=a^4+2a^2b^2+b^4-a^2b^2\\\\=(a^2+b^2)^2-a^2b^2\\\\=(a^2+b^2-ab)(a^2+b^2+ab)\\\\HCF=a^2+b^2-ab\\[/tex]
How do I write 5,248,663,711 in expanded form
Answer:
5,000,000,000+200,000,000+40,000,000+8,000,000+600,000+60,000+3,000+700+10+1
Step-by-step explanation:
5,000,000,000 + 200,000,000+ 40,000,000+ 8,000,000+ 600,000+ 60,000+ 3,000
+ 700 + 10 + 1
The scale on a map shows that 200 miles is represented by 5 inches on a map which proportion can be used to find the distance of the map Xterra presents 50 miles
Answer:
gzhausiaoa
Step-by-step explanation:
hshshsshhehehehehhdhdhdhdhhdhdhdfhfh
Reasoning The midpoint of AB is on the
y-axis, and AB is parallel to the x-axis. Point A
is located in Quadrant III. Which quadrant
contains point B? Explain.
Answer:
B is in 4th quadrant.
Step-by-step explanation:
If mid point of AB is on x-axis then and A is in 3rd quadrant then B must be on the opposite side of A.Therefore it is in 4th
B is in fourth quadrant when AB is the midpoint on y axis
What is a quadrant with an example?An area enclosed by the x and y axes is known as a quadrant, and a graph has four of them.To clarify, the x and y axes divide the two-dimensional Cartesian plane into four quadrants.Quadrant I is in the upper right corner, while Quadrants II through IV are arranged from counterclockwise to clockwise.The x-axis (the horizontal number line) and the y-axis connect to divide the coordinate plane into four equal pieces in the cartesian system (the vertical number line).Due to the fact that each of these four areas takes up one-fourth of the entire coordinate plane, they are referred to as quadrants.If the center of AB is on the x-axis
A is in the third quadrant,
let two points ( -2, -2 ) in third quadrant .
then B must be on the side of A that is opposite from A.
B thus comes in fourth.
then points ( 2,-2 ) are in fourth quadrant .
Learn more about Quadrants here:
brainly.com/question/7196312
#SPJ2
A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of
the car (assume uniform acceleration).
Answer:
57.12 m
Step-by-step explanation:
velocity= distance/time
distance= velocity×time
=22.4×2.55
=57.12 m
Answer:
d = 28.6 m
Step-by-step explanation:
Given:
vi = 22.4 m/s
vf = 0 m/s
t = 2.55 s
Find:
d = ??
d = (vi + vf)/2 *t
d = (22.4 m/s + 0 m/s)/2 *2.55 s
d = (11.2 m/s)*2.55 s
d = 28.6 m
the area of a square is below. A= 40in^2 find the length of the side. round your answer to the nearest tenth
Answer:
6.3
Step-by-step explanation
Each side of a square is equal; therefore, to find the length of one side, we can find the square root of the area, which, rounded, is 6.3.
Answer:
a=A=40≈6.32456in
An account pays 3.1% interest compounded quarterly.
Marson will make a regular deposit at the end of every 3 months, and wishes to reach a goal of $4500 after 3 years.
What is the amount of the regular deposit every 3 months?
$356.92
$349.39
$374.95
$359.29
What is the percentage change from 305 to 395
Answer:
29.51%
Step-by-step explanation:
The change from 305 to 395 is the difference between the two numbers. So, it would be 395 - 305 or 90. Now, to find the percentage of change, we need to find what part of the original amount is the change. In other words, we would have to divide 90 by 305. By putting this in a calculator you get about 0.2951. To convert this decimal into a percent, we would multiply by 100 giving us 29.51%.
If using the method of completing the square to solve the quadratic equation x^2+8x+37=0, which number would have to be added to "complete the square"?
Answer:
The numbers are --> x = -4 + √21 i and x = -4 — √21 i
See the attachment for my step-by-step explanation
(solution is in red box)
The number that would have to be added in the given quadratic equation to complete the square is '-21' and this can be determined by using the factorization method.
Given :
Quadratic equation -- [tex]x^2+8x+37 = 0[/tex]
The following steps can be used in order to determine the number that would have to be added to complete the square:
Step 1 - The factorization method can be used in order to determine the number that would have to be added to complete the square.
Step 2 - Write the given quadratic equation.
[tex]x^2+8x+37 = 0[/tex]
Step 3 - Now, if '-21' is added in the above quadratic equation then the above equation becomes the complete square.
[tex]x^2+8x+37+(-21) = 0[/tex]
[tex]x^2+8x+16 = 0[/tex]
[tex](x+4)^2 = 0[/tex]
For more information, refer to the link given below:
https://brainly.com/question/17177510
Which number comes first when the numbers are listed from least tò greatest?
Answer:
the least
Step-by-step explanation:
Answer:
-∞
Step-by-step explanation:
Negative numbers are the smallest on the number line. Since the number range is not specified -∞ would be a preferred answer.
n÷102=0.123
What is the value of n
Answer:
n = 12.546
Step-by-step explanation:
to find the value of n we need to transpose
n ÷ 102 = 0.123
n = 0.123 × 102
n = 12.546
-7 + 4m + 10 = 15 - 2m
what is m?
express 2/3 of a straight angle into radian?
[tex]\\ \sf\longmapsto \dfrac{2}{3}\:of\:180[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}\times 180[/tex]
[tex]\\ \sf\longmapsto 2(60)[/tex]
[tex]\\ \sf\longmapsto 120[/tex]
Convert to radians
[tex]\\ \sf\longmapsto 120\times \dfrac{\pi}{180}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2\pi}{3}rad[/tex]
1. 3x + y = -3
What is the x intercept
Answer:
Step-by-step explanation:
When calculating x-intercept, always think: y=0.
Putting this into the formula creates:
3x+0 = -3
3x = -3
x = -1
If the length and width of a rectangle are tripled, the area of that rectangle will increase by what percentage? A) 9% B) 90% C) 450% D) 900%
Mr Daniel left some money to be shared between Ann aNd Annie in the ratio 5:7. If Annie had €45.00 more than Ann . Find each person’s share
Answer:
Ann = 112.5 and Annie = 157.5
Step-by-step explanation:
7-5 = 2
One share = 45/2 = 22.50
Ann = 22.5 x 5 = 112.50
Annie = 22.5 x 7 = 157.50
You can check this is correct my subtracting them from each other and confirming that Annie has 45 more dollars than ann
Hope this helps!!
How do horizontal and vertical translations each affect the coordinates of the points on a figure.
Answer:
Step-by-step explanation:
Horizontal translations changes the x-axis
Vertical translations changes the y-axis
can somebody please explain how to do this:)
[tex]\\ \sf\longmapsto \dfrac{sin40.sin120}{sin110-sin340}[/tex]
[tex]\\ \sf\longmapsto \dfrac{sin(90-50).sin(90+30)}{sin(90+20).sin(360-20)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{cos50.cos30}{cos20.(-sin20}[/tex]
[tex]\\ \sf\longmapsto \dfrac{cos50cos30}{-sin20cos20}[/tex]
[tex]\\ \sf\longmapsto -\dfrac{cos30cos50}{sin20cos20}[/tex]
there are 750 pupils in a school 54% of the pupils are girls how many boys are in the school?
Answer:
245 boys
Step-by-step explanation:
54/100*750
=405 girls
so 750-405=245
The graph of f (x) is shown which is the axis of symmetry of the graph f (x)
Answer:
B) x = 3
Step-by-step explanation:
This is the axis of symmetry because the graph is symmetric in this line
In a series of three numbers, the second number is 3 less than the first, and the third is three times the second. If the first number is
x,
how much greater than the second number is the third number
third number?
The insects, birds, snakes, and plants that live in a local wetland make up a
A. molecule
B. organism
C. population
D. community
find the value of x if 8=3-5x
step by step
Answer:
8=3-5x
5x=3-8
5x=-5
x=-5/5
x=-1
is the required answer
Please help explanation if possible
Answer:
r/2 = w
Step-by-step explanation:
r = 2w
Divide each side by 2
r/2 = 2w/2
r/2 = w
a goat is six times as heavy as its kid if their total mass is 70 kg find each of their masses in kg
plzz help i need it fast
Answer:
10kg and 60 kg.
Step-by-step explanation:
Let the kid's mass be x kg, then the goat's mass is 6x.
x + 6x = 70
7x = 70
x = 10.
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 360 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
2 inches
5 inches
8 inches
9 inches
Answer:
5
Step-by-step explanation:
Solution is 8 in
Let´s call dimensions of the box
x the length of the boxy the width of the box andh the height of the boxAccording to the problem statement
y = x + 3 and h = 4 in
The volume of the box is:
V = x×y×h V = 360 in³
Then V = x × ( x + 3 ) × 4 ( by substitution of y as a function of x )
360 = x × ( x + 3 ) × 4
Simplifying by 4
90 = x × ( x + 3 )
90 = x² + 3x
We got a second degree equation, solving for x
x² + 3×x - 90 = 0
x₁,₂ = ( -3 ± √ (3)² + 4×90 )/2 ⇒ x₁,₂ = ( - 3 ± 19,21 )/2
x₁ ⇒ is a negative value x = - 11,1 so we dismiss such solution
x₂ = 16.21/2
x₂ = 8.1 in
rounding to the nearest integer number we get the value for the length f the box
x₂ = 8 in ⇒ x = 8 in
Note: In Brainly.com in search bar ask for cube dimensions
solve the equation -8(3x-1/4)=2(9-7x)
Answer:
x= - 8/5
Step-by-step explanation:
-24x+2=18-14x
-24x+14=18-2
-10x=16
x= - 8/5
-2z-xy=x+7 solve for x
Answer:
[tex] - 2z - xy = x + 7 \\ x + xy = - 2z - 7 \\ x(1 + y) = - 2z - 7 \\ \\ x = \frac{ - 2z - 7}{1 + y} [/tex]
I hope I helped you^_^
three times the difference of a number cubed and 10 in algebraic expression
Answer:
3 × x³ - 10
Step-by-step explanation:
three times = 3×
difference = -
number cubed (unknown so we use x) = x³
10 = 10
Hope this helps!
I'm sorry if wrong :(
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 85
x = 17
The angle measures are 34 degrees and 56 degrees.
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 85
x = 17
The angle measures are 34 degrees and 46 degrees.
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 95
x = 19
The angle measures are 52 degrees and 38 degrees.
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 95
x = 19
The angle measures are 19 degrees and 71 degrees.
Answer:
Equation: [tex]3x-5+2x=90[/tex]
Angle measures: 52 degrees and 38 degrees
Step-by-step explanation:
Hi there!
We're given that the two angles form a right angle, which means they add up to 90 degrees.
Knowing this, we can construct the following equation:
[tex]3x-5+2x=90[/tex]
Now, we must solve for x:
[tex]5x-5=90\\5x=95\\x=19[/tex]
Therefore, x=19. Plug this into the expression for each angle to find their measures:
[tex]3x-5\\= 3(19)-5\\= 57-5\\=52[/tex]
[tex]2x\\=2(19)\\=38[/tex]
Therefore, the two angles measure 52 degrees and 38 degrees.
I hope this helps!