The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The sum of two polynomials is,
[tex]10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2[/tex]
The one polynomial addend is,
[tex]-5a^2b^2 +12a^2b - 5[/tex]
Let suppose the other polynomial addend is f(a,b). Thus,
[tex](-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)[/tex]
Isolate the second polynomial as,
[tex]f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5[/tex]
Arrange the like terms as,
[tex]f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7[/tex]
Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
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look at the expression below. 1/2 (a+b) - (a-b)2. what is the value of the expression when a = 18 and b = 14?
A 32
B 12
C 8
D 0
Answer:
8
Step-by-step explanation:
[tex]=\frac{1}{2}(a+b)-(a-b)\times2\\\\= \frac{1}{2}(18+14)-(18-14)\times2\\\\= \frac{1}{2}(32)-(4)\times2\\\\=16-8=8[/tex]
hwo do i simplify 9y+4-6y
Answer:
Solution for 9y+4-6y= equation: Simplifying 9y + 4 + -6y = 0 Reorder the terms: 4 + 9y + -6y = 0 Combine like terms: 9y + -6y = 3y 4 + 3y = 0 Solving 4 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right.
Step-by-step explanation:
NEED HELP THIS IS A TEST!!!
Sorry the photo isn’t clear it’s the best I can get it
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the correct figure to each label.
Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest hundredth of a foot if necessary
The ladder and the wall it leans on are illustrations of right triangle
The horizontal distance from the base of the ladder is 5.41 feet
How to determine the horizontal distance?The given parameters are:
Length (L) = 26 feet
Angle of elevation (θ) = 78 degrees
The horizontal distance (D) is calculated using the following cosine ratio
cos(θ) = D/L
Substitute known values
cos(78) = D/26
Make D the subject
D = 26 * cos(78)
Multiply
D = 5.41
Hence, the horizontal distance from the base of the ladder is 5.41 feet
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Answer:
5.41 Feet
Step-by-step explanation:
Please Evaluate These Expressions:
1. 18 • (7+2²) ÷ 3 - 40 =
2. c² - y ÷ 2 =
Hint:
For Question two c = 6 and y = 16
1. -33.963333
2. 28
but i'm not sure
a
Levi just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
19 weeks, how many total miles would Levi have run, to the nearest whole number?
Answer:
244 miles (nearest whole number)
Step-by-step explanation:
This scenario can be modeled as a geometric series.
From the information given:
[tex]a[/tex] (initial term) = 8 (miles)[tex]r[/tex] (common ratio) = 1.05 (as number of miles increases by 5% each week)[tex]n[/tex] = 19 (as the plan is for 19 weeks)The formula for the sum of the first n terms of a geometric series is:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Therefore, the sum of the first 19 terms is:
[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]
[tex]\implies S_{19}=244.3120313...[/tex]
Solution244 miles (to the nearest whole number)
So
It's a GP
we need Sum
[tex]\\ \rm\Rrightarrow S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]
[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{−12.21560156300510578244137725830078125}{-0.05}[/tex]
[tex]\\ \rm\Rrightarrow S_{19}=244.312\approx 244mi[/tex]
Four friends went to the movies.
Each person bought a movie ticket, and the total the four friends spent on the tickets was $52.
Which equation can be used to find the cost of each ticket?
4+2 = 52
B 2 - 4 = 52
4.3 = 52
© = 52
Answer:
C. 4x = 52
Step-by-step explanation:
If each person spent $x,
then the total amount spent will be 4x
we already know that the total amount spent is 52
so, 4x = 52
Answer:
4x=52
Step-by-step explanation:
[tex]let \: the \: price \: for \: each \: ticket \: be = x \\ since \: four \: persons \: bought \: the \: ticket \: \\ 4x = 52 \\ the \: equation \: for \: each \: ticket \: will \: be \: \\ 4x = 52[/tex]
I need help with this question
Answer:
[tex]y=x+4[/tex]
Hope This Helps! :) Please give Brainliest!
Refer to attachment below;
What is 27 pounds in ounces
Answer:
432
Step-by-step explanation:
you convert the pounds to ounces by multiplying the mass value by 16
What two numbers multiply to egalitarian -35 and add to equal -2
Using a system of equations, it is found that the numbers are 5 and -7.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, we say that the numbers are x and y.
They multiply to -35, hence:
xy = -35.
They add to -2, hence:
x + y = -2 -> y = -2 - x
Replacing on the first equation:
x(-2 - x) = -35
-x² - 2x + 35 = 0
x² + 2x - 35 = 0
(x + 7)(x - 5) = 0
x = -7 -> y = 5
x = 5 -> y = -7
Hence the numbers are 5 and -7.
More can be learned about a system of equations at https://brainly.com/question/24342899
Lauren has a balance of $140. 15 in her checking account. She uses her debit card to pay $85. 75 for a concert ticket. What is the balance in her checking account now?
$54.4
hope it really helps...!!!
Please complete the table!
Answer:
im sorry theirs not eghou imformation
Step-by-step explanation:
(0,4) across the y-axis
Answer:
(0,4).
Step-by-step explanation:
The point (0, 4) is on the y axis ( as x = 0) so the answer is (0,4).
Which binomial is a factor of 9x2 – 64? 3x – 8 9x – 32 3x 32 9x 8
The binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.
What is a binomial factor?The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.
Factoring binomials means breaking down a binomial expression into its simplest form.
Binomials are algebraic expressions with two terms.
The given binomial is;
[tex]\rm 9x^2 -64[/tex]
The binomial is determined in the following steps given below.
[tex]\rm =9x^2 -64\\\\= (3)^2x^2-8^2\\\\= (3x)^2-8^2\\\\= (3x-8)(3x+8)[/tex]
Hence, the binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.
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whats the value of -15-9+(-7)?
A. -31
B. -17
C. -13
D. -1
Answer:
Step-by-step explanation:
-15-9+(-7)
answer: A, -31.
hope this helps! mark me brainliest as well please.
Answer:
-31
Step-by-step explanation:
you can subtract -15 and -9 which equals -24. After that, you can just subtract it by 7 . because +(-)= - so -15-9-7= -31
A faraway planet is populated by creatures called jolos. All jolos are either green or purple and either one-headed or two-headed. Balon, who lives on this planet, does a survey and finds that her colony of 725 contains 145 green one-headed jolos;240 purple, two-headed jolos; and 350 one-headed Jolos. How many green Jolos are there in balan's colony? a. 135 b. 205 c. 280 d. 375
Answer:
Its 280 so c
Hope this helps<3
Step-by-step explanation:
How much did each pack of yarn cost?? 22 points
Answer:
$13
Step-by-step explanation:
89 = 11 +6x
78 = 6x
x = 13
Answer:
13 dollars
Step-by-step explanation:
89-11=78
78/6=13
On Tuesday, the temperature was 21°C and on Wednesday, it was 17°C. If the
temperature dropped at the same rate, what would the temperature be on Thursday?
?
Let p: A number is greater than 25.
Let q: A number is less than 35.
If p^qis true, then what could the number be? Select two options.
O 24
0 28
0 32
O 36
O40
Find the coordinates of the turning point for the equation of the graph below
y=x^2– 16x +39
=
Answer:
x = 8 - sqrt(y + 25)
Step-by-step explanation:
Step-by-step explanation:
comparing given equation with ax^2+bx+c;
a=1 b=-16 c=39
now,
x coordinate of vertex = -b/2a
= 16/2*1
= 8
again,
y coordinate of vertex = (8)^2-16(8)+39
=-25
Therefore, the turning point is (8,-25).
15/3x-22/4x-29/5y+2/2Y
Answer:
-5x-48y
---------
10
Step-by-step explanation:
There you go
(three power zero times two power negative two)power negative two
Answer: 16
Step by Step Explanation:
3 to the power of Zero=1
2 to the power of -2 is 0.25
1 times 0.25 is 0.25
0.25 to the power of negative 0 is 16
Lillian bought snacks for her team's practice. She bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48. How much was each bottle of juice?
Answer:
$1.030 ($1.03 rounded.)
Step-by-step explanation:
First, we need to start of making an equation.
$2.36 + x = 6.48.
We will use x as the variable for the amount of each bottle of juice, because it is unknown.
Then, we must put the variable on one side of the equation. To do this, we must subtract $2.36 from $6.48; and $2.36 - $2.36.
$2.36 - $2.36 crosses out; 0. $6.48 - $2.36 = $4.12.We get the result that x = $4.12. However, only 1 pack is $4.12, and we must find the cost of 4 juice bottles. Therefor, we divide 4.12 by 4.
4.12 / 4 = 1.030. Now, to round the answer, this would be $1.03 per bottle.If Lillian bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48 then each juice bottle costs $1.03.
Let's denote the cost of each juice bottle as "x".
Since Lillian bought a 4-pack of juice bottles, the total cost of the juice is 4x.
Given that the total cost before tax was $6.48, we can set up an equation:
Cost of apples + Cost of juice = Total cost
$2.36 + 4x = $6.48
Now, solve for "x":
4x = $6.48 - $2.36
4x = $4.12
x = $4.12 / 4
x = $1.03
Hence, Each bottle of juice costs $1.03.
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What shape has been used to form the quilt pattern below?
Answer:
Right Triangles
Step-by-step explanation:
This is because in a right angled triangle, there is one angle that is equal to 90 degrees, and 2 that are 45 degrees each.
These 45 degree corners make up the corners of the square (45+45 = 90 = right angle = corner of square)
Hope this makes sense.
jake finishes piano practice at 2:45 p.m. after practicing for 37 minutes. What time does Natalie’s practice start? Natalie’s practice starts at __________ p.m.
Answer:
3:22
Step-by-step explanation:
What is true about the isosceles trapezoid?
Answer:
AD║BC
DE≅CE
AC≅DBΔ
ΔAED≅ΔBEC
Step-by-step explanation:
NOTHING ELSE
≅
║
Δ
have a good day!
The diameter of a circle is 18 in. Find its area in terms of
π
π.
Answer: 81 π.
Step-by-step explanation: To find the area of a circle, you need to multiply the circle's radius squared by pi. However, this problem is in terms of pi, so we're just going to find the radius squared. We're given the diameter, but we can simply cut it in half since the radius is half the diameter. The diameter for this circle is 18, so divide 18 by 2, and 9 is your radius. 9^2 is 81, so 81 π is your answer in terms of pi because when you find the radius squared, you put pi next to it.
Have a great day! :)
Answer: the area is 81π
Step-by-step explanation:
The formula is A=πr
^{2}
The raidius would be 9 (18/2)
A=π9^{2}
π x 9^{2} = 81π
Decimal form: 254.469004941
2 √5 / 7 - √3 rationalise
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the question asks us to rationalise the given term ! thus , we'll just have to remove the √3 from th denominator anyhow !
let's start ~
[tex] \frac{2 \sqrt{5} }{7 - \sqrt{3} } \\ \\ \implies \: \frac{2 \sqrt{5} }{7 - \sqrt{3} } \: \times \: \frac{7 + \sqrt{3} }{7 + \sqrt{3} } = \frac{14 \sqrt{5} + 2 \sqrt{15} }{(7) {}^{2} - ( \sqrt{3) {}^{2} } } \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{49 - 3} \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{46} \\ \\ \implies \: \frac{\cancel{2}(7 \sqrt{5{} } \: + \sqrt{15} )}{\cancel{46} } \\ \\\bold\red{ \implies \: \frac{7 \sqrt{5} + \sqrt{15} }{23}}[/tex]
hope helpful :D
Drew dis its one of kmk charactersssss
Step-by-step explanation:
yo that's actually really sick
Heya !
⇢ [tex]\sf{What \: is \: \frac{32 \: x \: 2}{4} \: ?[/tex]
⇢ Remember you'll have to simplify about this.
⇢ Explain into your own words.
⇢ Don't copy/don't cheat.
⇢ Nonsense/Relevant answers, will be reported!
50 POINTS!
Thanks ~
Answer:
32 x 2
---------- = 16
.....4
To start off we can do 32 x 2.
32 x 2 = 64
Next, we divide 64 by 4 to equal the fraction 32 x 2 / 4.
64 divided by 4 = 16
In conclusion the fraction 32 x 2 / 4 is equal to 16.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer: hii
Step-by-step explanation: