Answer:
16y^2+40y+25
Step-by-step explanation:
[tex] {16y}^{2} + 40y + 25[/tex]
Step-by-step explanation:
(4y−5)^2+80y
Use binomial theorem (a−b)^2=a^2−2ab+b^2 to expand (4y−5)^2.
16y^2−40y+25+80y
Combine −40y and 80y to get 40y.
16y^2+40y+25
what is 5/9(fraction) turned into a decimal rounded to the nearest hundredth
Answer:
It will be 0.5 repeating so 0.555 because the 5 is repeating
9514 1404 393
Answer:
0.56
Step-by-step explanation:
5/9 is the repeating decimal fraction 0.55555...
Rounded to the nearest hundredth, it is ...
5/9 ≈ 0.56
Solve the equation
(x/x+2) - (4/x-2) = 1
Answer:
[tex]\bold{x=-\dfrac23}[/tex]Step-by-step explanation:
[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]
The solution to the equation is x = -2/3.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].
Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]
Hence, the solution to the equation is x = -2/3.
Learn more about equations here:
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Posting this here because why not, it's not like anybody will do it.
Answer:
1. 264
2. degree: 6, term: 3xy^5
3. -60x^3-2x^2+9x
4. 6mn^3-4m
5. 8x^3-4x+2
6. -x^2-6x-13
Step-by-step explanation:
i’m stuck on these questions
Answer:
In my opinion both of the lines are tangent.
Step-by-step explanation:
Because a tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.
What is the slope of this line?
2/3 1/3 -1/3 -2/3
Answer:
2/3
Step-by-step explanation:
Two points on this line are (0, -3) and (6, 1).
Going from the first to the second, we see a change in x of 6 units and a change in y of 4 units. The slope of the line is thus m = rise / run = 4/6 = 2/3
You earned a 90% on a test if there are 30 questions how many did you answer correctly?
Answer:
27
Step-by-step explanation:
you can do cross multiplication
90/100 = x/30
100x=2700
x=27
PLEASE HELP
factor 12n^2-n-20
Plssss helppppp!!!!!!!!!
Answer:
it is two because one apple plus one apple equals two
it is 2
Which equation represents a nonlinear function?
Help please!!!
Answer:
C
Step-by-step explanation:
A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.
(11 – 9)' – 2 x 4=
Please help
Answer: 2 − 8x
Step-by-step explanation:
A scientist is growing bacteria. The number of bacteria cells doubles every week. The scientist begins with 30 cells. Write an expression to find the number of cells after x weeks .
Answer:
2x+30
Step-by-step explanation:
Simplify the expression please!!
4( -2p + 8)
How to transfer 800g to kg
Answer: The answer is 0.8
Step-by-step explanation: Every gram is 0.001 of a kilogram
Plz Help Cuz it Worth A Hunid Points
Answer:
1. 30
2. x<-72
3. 7b=63
4. x=3.2
5. 1/10
Step-by-step explanation:
1. Substitute a for 10
2(150/10)
2*15
30
2. Think of it like a normal equation
x/4<-18
x<-18*4
x<-72
3. 7b=63
4. 2.5x=8
x=3.2
5. 1/5*1/2= 1/10
i just need the answer lol
Answer:
C and D
Step-by-step explanation:
They are both roots of the equation.
geometry, god bless ur help!
Answer:
15 CM
Step-by-step explanation:
Both sides are same length proven by the same angles making botrh sides 15 cm
Katrin is making a poster for school elections. She draws a line 20.4 centimeters long across the poster board. She starts at one end of the line and makes a mark every 3.4 centimeters along it. She plans to write the letters of her name in the spaces between the marks. Will Katrin make enough spaces for each letter of her name to go in one space? Explain how you know.
There are 5 white roses to every 9 red roses in the garden
Answer:
Step-by-step explanation:
ummm what there is no question!
Explain why the graph above represents a function.
What is the solution of the equation y + 7.63 = 12.001
Answer:
[tex]y = 12.001 + 7.63 = 19.631[/tex]
Hope it helps
This is a trigonometry question
Answer:
y = 8.49
Step-by-step explanation:
cos 45 = 6/y
0.7071 = 6/y
y = 8.49
What is the surface area for the figure? PLEASE HELP
Answer:
516 cm squared
Step-by-step explanation:
To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.
How do we do it?
Calculate each face of the prism by multiplying Length x Width.Make a shortcut by combining like-figures (front of the cube and back of the cube are the same surface areas, etc.)Make your formula2(4 · 15) + 2(10 · 15) + 2(12 · 4)Find the greatest common factor of 8m and 12m^3
laura has a toy robot collection 4/7 of her robots makes noise how many of lauras robots make noise?
Answer:
16 robots make noise
Step-by-step explanation:
Saved $500 from his summer job so he would have spending money during the school year. He withdraws $12 from his account each week so a linear function models his plan. Mellissa made a similar plan. Compare the transactions
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Savings = \$500[/tex]
[tex]Withdrawal = \$12[/tex] weekly
Required
The question is incomplete as the linear function or table or graph of Melissa's plan is not given.
The available details can only be used to solve the function of the given individual
Let the number of weeks be w.
So: the amount left in w weeks is:
[tex]Amount = Savings - Withdrawal * w[/tex]
[tex]Amount = 500- 12* w[/tex]
[tex]Amount = 500- 12w[/tex]
Represent as a function
[tex]f(w)= 500- 12w[/tex]
To solve the amount left at the end of a certain week (say week 5), simply substitute 5 for w in [tex]f(w)= 500- 12w[/tex]
[tex]f(5) = 500 - 12 * 5[/tex]
[tex]f(5) = 440[/tex]
ltfdeyuhcfdgxtsrt867uojl,
Answer:
2q=8
q=4
Step-by-step explanation:
hope that helped you
Answer:
8q + 1 = 6q + 9
2q + 1 = 9
2q = 8
q = 4
For each of the following, select the correct words from the word bank to complete each statement.
Angles opposite one another that share a vertex are called
Answer
angles. When one of these angles undergoes a rigid transformation so that it fits exactly over the other, we know that the typ angles are
Answer
When two parallel lines are crossed by another line called the
Answer
the angles created inside the parallel lines but on opposite sides of the crossing line are called
Answer
Answer
angles. Angles of this type have the same measurement as one another. Two figures are
Answer
if one can fit exactly over the other after rigid transformations and dilations.
corresponding
vertical
image
congruent
trasmission
transversal
perpindicular
alternate
exterior
interior
dissimilar
similar
Answer:
Angles opposite one another that share a vertex are called vertical angles.
When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are congruent
When two parallel lines are crossed by another line called the transversal the angles created inside the parallel lines but on opposite sides of the crossing lines are called alternate interior angles. Angles of this type have the same measurement as one another. Two figures are similar if one can fit exactly over the other after rigid transformations and dilations
Step-by-step explanation:
Vertically opposite angles are always equal (congruent)
The transversal line is the line that crosses two or more parallel lines
Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent
Two plane geometric figures are similar if they their corresponding interior angles are congruent
I need help with this! I would like to have this answered in 5 hours if possible, 6 hours at max
Answer:
60 = 45 + t
Step-by-step explanation:
What is the range of f(x) = 2(x+3)^2 + 1?
Answer:
Range: [1, ∞)
Step-by-step explanation:
[tex]f(x)=2(x+3)^2+1[/tex]
Range: [1, ∞)
PLEASE HELP! I REALLY NEED THESE ANSWERS!
A right triangle is formed in the first quadrant by the x- and y- axes and a Straight line through the point (2,3). The other vertices are (0,0) (0,Y) (X,0).
a) Write the length L of the hypotenuse as a function of x
b) Find the vertices of the triangle such that its are is a minimum
Answer:the triangle has (2,) and (0, 4) as its vertices for a maximum area
Step-by-step explanation:let P(x,0) be the x-intercept and Q(0,y) be the y-intercept
label (1,2) as A(1,2)
the slope AP = slope AQ
-2/(x-1) = (2-y)/1
2x - xy - 2 + y = -2
y(1-x) = -2x
y = -2x/(1-x) or 2x/(x-1)
H^2 = x^2 + y^2
= x^2 + ( (2x/(x-1) )^2 --- simplify if needed
(don't know why we are finding the hypotenuse ? )
Area of triangle OPQ
= (1/2)base x height
= (1/2)xy
= (1/2)x(2x/(x-1))
= (1/2) (2x^2/(x-1) )
dA/dx = (1/2) [ (x-1)(4x) - 2x^2(1) ]/(x-1)^2
= (1/2) [ 4x^2 - 4x - 2x^2 ]/(x-1)^2
= 0 for a max of A
2x^2 - 4x = 0
x(2x-4) = 0
x=0 ---- > makes no sense, look at diagram
or
x = 2
then y = 2(2)/(2-1) = 4
the triangle has (2,) and (0, 4) as its vertices for a maximum area
Answer:
Heyyyy
Step-by-step explanation: