Answer:
The simplified expression is given as
[tex]8x^2y^4(17x^2-2)[/tex]
Step-by-step explanation:
step one:
Given the expression
[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)[/tex]
step two:
First, let us open the bracket we have
[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\[/tex]
step three:
collect like terms we have
[tex]x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\[/tex]
step four:
we can now factor out [tex]8x^2y^4[/tex]we have
[tex]8x^2y^4(17x^2-2)[/tex]
Write each phrase or sentence as an algebraic expression or equation
6 more than y
3 times a number
5 less than the product of 10 and c
14 more than 6 times t
The sum of x and y is 18
A number minus 12 is y
6 more than y :
y + 63 times a number:
x ← a number
3x5 less than the product of 10 and c :
10c ← the product of 10 and c
10c - 514 more than 6 times t :
6t ← six times t
6t + 14The sum of x and y is 18:
x+y ← the sum of x and y
x + y = 18A number minus 12 is y:
x - a number
x - 12 = y3. Solve for y:
X + 9y = 27
Answer:
y=3 - x/9
Step-by-step explanation:
Answer:
y= 27-x/9
Step-by-step explanation:
x + 9y = 27
9y = 27-x
9y/9 = 27- x/ 9
y = 27-x/9
Is 372 divisibile by 6? And why
Answer:
yes
Step-by-step explanation:
its 62
Answer:
Yes 372 is divisible by 6.
Step 1:
Start by setting it up with the divisor 6 on the left side and the dividend 372 on the right side like this:
Step 2:
The divisor (6) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:
Step 3:
Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.
Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.
Step 5:
Move down the 2nd digit of the dividend (7) like this:
Step 6:
The divisor (6) goes into the bottom number (37), 6 time(s). Therefore, put 6 on top:
Step 7:
Multiply the divisor by the result in the previous step (6 x 6 = 36) and write that answer at the bottom:
Step 8:
Subtract the result in the previous step from the number written above it. (37 - 36 = 1) and write the answer at the bottom.
Step 9:
Move down the last digit of the dividend (2) like this:
Step 10:
The divisor (6) goes into the bottom number (12), 2 time(s). Therefore put 2 on top:
Step 11:
Multiply the divisor by the result in the previous step (6 x 2 = 12) and write the answer at the bottom:
Step 12:
Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.
which expression is equivalent to 1/27
A. 3^1 x 3^-10
B. 3^-1 x 3^10
C. 3^-4 x 3^7
D. 3^4 x 3^-7
Answer:
D
Step-by-step explanation:
√116 rounded to the nearest tenth?
Answer:
10.8
hope this helps
Answer:
[tex]\boxed {10.8}[/tex]
Step-by-step explanation:
The equation:
[tex]\sqrt{116}[/tex]
Simplify:
[tex]\sqrt{116}[/tex]
[tex]2\sqrt{29} \approx 10.77[/tex]
-Round the approximation to the nearest tenth:
[tex]\boxed {10.8}[/tex]
Miguel’s book has 331 pages. Kristen’s book has “n” fewer pages than Miguel’s book. Write an expression to represent the number of pages in Kristen’s book.
Answer:
331-n=x
Step-by-step explanation:
The endpoints of MN are located at M (-4, 4) and N (2,-2). What are the coordinates of the point that divides MN such that MP: PN is equal to 2: 1?
Given:
The endpoints of MN are located at M (-4, 4) and N (2,-2).
Point P divides the line segment MN such that MP: PN = 2: 1
To find:
The coordinates of point P.
Solution:
Section formula: If a point divides a line segment in m:n, then coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment MN in 2:1. So,
[tex]P=\left(\dfrac{2(2)+1(-4)}{2+1},\dfrac{2(-2)+1(4)}{2+1}\right)[/tex]
[tex]P=\left(\dfrac{4-4}{3},\dfrac{-4+4}{3}\right)[/tex]
[tex]P=\left(\dfrac{0}{3},\dfrac{0}{3}\right)[/tex]
[tex]P=(0,0)[/tex]
Therefore, the coordinates of the point P are (0,0).
Find the distance between the points -6.2 and -9.8. Show your work for full credit.
Answer:
-2
Step-by-step explanation:
Please HELP! I’ll give BRAINLIEST :)
An undefined term is a term that has been given no formal definition. In geometry, there are three undefined terms that form the basis for the subject. What are those three undefined terms? Do your best to define those terms.
Answer:
Point, Line, and Plane
Step-by-step explanation:
The three undefined terms that form the basis for the subject are a point, a line, and a plane. A point is basically like a dot, which most people should know. A line is a straight one dimensional figure that extends to infinity in both directions. A plane a flat 2 dimension figure, that extends to infinity in all directions. You can think of a plane as infinite lines put next to each other.
You can visualize a point, a line, and a plane in a coordinate grid. A point on the coordinate grid is any point, from (0, 0), the origin, to (2039, pi). A line on the coordinate grid is linear. It can be of any equation from y=x to y=238490/239x + 123. You can think of a plane as the entire coordinate grid.
I need help asap well mark you brain list
Answer: a's answer is 4096 and for the last question it is 243
Step-by-step explanation:
Answer:
4096243Step-by-step explanation:
Solving exponents
a) (4^3)^2 = 4^(3*2) = 4^6 = 4096b) 3^1 * 3^4 = 3^(1+4) = 3^5 = 243Which of the following show the Associative Property?
A. 3 + 8 + 9 = 9 + 3 + 8
B. (3-8) - 9 = 3 - (8 - 9)
C. None of these
D. (3 + 8) - 9 = 3 + (8 + 9)
Brainliest to the first CORRECT answer, Thanks
Answer:
28 inches
Step-by-step explanation:
P = 2 (a + b) = 2 · (6 + 8) = 28
The what? of 2 is -2. A. OPPOSITE B.SIGN
How many cups of red paint should be added to 1 cup of white paint?
Answer:
3/7 or .43
Step-by-step explanation:
1 goes in to 7, 7 times so all you have to do is 3/7
The area of a triangle is given by the formula A=1/2
(base x height).
If the base of a triangle is 7 cm and its height is 10 cm find its area.
Answer:
35
Step-by-step explanation:
A=(7×10) ÷2
A=35
it's simpler than it looks I promise
Aston University creates a 10 digit student number as the University enrolls each student. The first two characters must be a digit 1 through 9. The next seven characters can be anything and the last digit just can’t be the same as the ninth character (i.e. the previous digit). How many student numbers are possible?
Answer:
The number of student numbers that are possible = 729,000,000 student numbers
Step-by-step explanation:
The number of possible numbers that can take the place of the first two digits = 9 possible numbers each
The number of possible numbers that can take the place of the 3rd to the 9th digits = 10 possible numbers each
The number of possible numbers that can take the place of the 10th digits = 9 possible numbers each
The total number of possible numbers is given as follows;
9 × 9 × 10⁶ × 9 = 729000000 possible student numbers
Every 2.5 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship?
Answer:
60 baskets per hour
Step-by-step explanation:
given that every 2.5 hours, the machine produces 150 baskets
Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)
2.5 hours -------> machine produces 150 baskets
1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets
hence the unit rate of production is 60 baskets per hour
Answer:
60 baskets per hour
Step-by-step explanation:
given that every 2.5 hours, the machine produces 150 baskets
Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)
2.5 hours -------> machine produces 150 baskets
1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets
hence the unit rate of production is 60 baskets per hour
HELP ME ANSWER THIS PLEASE 15 points
Answer:
The answers are:
B), C), & E)
Calculate the slope of a line that passes through the points (-4,7) and (-1,3)
Answer:
The answer is
[tex] - \frac{4}{3} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4,7) and (-1,3)
We have
[tex]m = \frac{3 - 7}{ - 1 - - 4} = \frac{ - 4}{ - 1 + 4} = - \frac{4}{3} \\ [/tex]
We have the final answer as
[tex] - \frac{4}{3} \\ [/tex]
Hope this helps you
y to the 3rd power= 27
help pls
Answer:
y=3
Step-by-step explanation:
its a simple equation.
[tex]\huge\boxed{3^3}[/tex]
Your question seems to be asking what is y. Therefore, it is 3³.
Remember, y³ is [tex]\boxed{y*y*y}[/tex].
[tex]\boxed{Y\; cannot\; = 1\; since\;1*1*1 =1 }[/tex][tex]\boxed{Y\;cannot\;=3\;since \;2*2*2 = 8}[/tex][tex]\boxed{Y\; = 3 \;since\; 3*3*3 = 27.}[/tex]Hope it helps!!
If a = 6 and b = 12 What is side c of a right triangle using the pythagorean
theorm?
Answer:
36 root 5 I believe
Step-by-step explanation:
Answer:
36 square root 5
Step-by-step explanation:
Use the diagram above. Is AB congruent to DE? To find AC in problem 3, suppose you subtract -2 from 5. do you get the same result? Why?
Answer:
(a) Segments AB and De are not congruent since their lengths are not equal.
(b) Yes, you get the same result. In both cases you must take the absolute value of the difference of the coordinates giving you the same result no matter in which order you subtract the coordinates of the points.
Step-by-step explanation:
(a)
To find the distance between any two points on the number line, take the absolute value of the difference of the coordinates of the points.
The coordinate of point P is p. The coordinate of point Q is q. PQ or QP, the distance between points P and Q, is:
PQ = QP = |p - q| = |q - p|
It does not make a difference in which order you find the diffeence of the coordinates.
Look at points A and B.
Point A has coordinate -2.
Point B has coordinate 3.
AB = |-2 - 3| = |-5| = 5
Now look at points D and E.
Point D has coordinate 10.
Point E has coordinate 14.
DE = |10 - 14| = |-4| = 4
AB = 5; DE = 4
Answer: The lengths of segments AB and DE are not equal, so the segments are not congruent.
(b)
The coordinate of point A is -2.
The coordinate of point C is 5.
AC = |-2 - 5| = |-7| = 7
If you subtract -2 from 5, and then take the absolute value, you get:
AC = |5 - (-2)| = |5 + 2| = |7| = 7
Again you get 7. The order in which you subtract the coordinates of the points does not affect the result since you take the absolute value of the difference in both cases.
AC =
cual es coeficiente en la expresion 5+9y
Answer:
The Coefficient to 5 + 9y is 9
Step-by-step explanation:
The leading term in a polynomial is the term with the highest degree.
9y
The leading coefficient in a polynomial is the coefficient of the leading term.
9
espero que esto ayude, y que tengas una buena noche
Eight less than three times a number is -23
Answer: 10 is your answer bud ❤
Ind two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer. a. Write and solve an equation to find the integers. Multiple choice question. A) 2n−4=2(n+2); true for all even integers B) 2n=2(n+2)−4; true for some even integers C) 2n=2(n+2)−4; true for all even integers D) 2n−4=2(n+2); true for some even integers Part B Feedback Incorrect 2 tries left. Please try again. Select the correct choices to complete the sentence. b. Does the equation have one solution, no solution, or is it an identity? Explain. It , 1 of 2. is an identity because it is , 2 of 2. false for every pair of consecutive even integers.
Answer:
Step-by-step explanation:
Let the consecutive even integers be 2n and 2n+2.
lesser integer = 2n
Greater integer = 2n+2
If twice the lesser of two integers is 4 less than two times the greater integer, this is expressed mathematically as;
2(less integer) = 2(greater integer) - 4
Substituting the given integers;
2(2n) = 2(2n+2)-4
2(2n) = 2[(2n+2)-2]
2n = 2n+2-2
2n = 2n
2 = 2
This two values cancels out and become 0 = 0. This equality shows that it is an identity pair and it is true for all even integers.
Bria drank an 8-ounce glass of water
from a 32-ounce container of water. How
many more 8-ounce glasses were left?
Answer:
3 8-ounce glasses of water were left
Step-by-step explanation:
If you divide 32 by 8, you get 4. And since she already drank a glass of water, you subtract 1 from 4, and you are left with 3.
Plz help I’ll give branliest!!
Answer:
2 is the correct option
Use the vertical line test to determine whether or not the graph is a graph of a function. plz help
Answer:
pretty sure both are yes
Amanda and Sandy found seashells along the shore. Amanda found 8 shells and Sandy found twice as many. How many seashells did Sandy find?
Answer:
16 hope this helps you out
Answer:
she found 16 seashells
Step-by-step explanation:
0.000028 what is the scientific method
Answer:
2.8 x 10^-5
Step-by-step explanation: