Answer:
5ab^2-6a^2b+a^3-2b+2a
Step-by-step explanation:
The simplified expression of expression (a – b)(a² – 5ab + 2) is a³ – 6a²b + 5ab² + 2a – 2b
What is Expression?An expression is combination of variables, numbers and operators.
To simplify the expression (a – b)(a² – 5ab + 2), we need to apply the distributive property, which states that:
(a + b)(c + d) = ac + ad + bc + bd
Using this property, we can multiply the two binomials as follows:
(a – b)(a² – 5ab + 2) = a(a² – 5ab + 2) – b(a² – 5ab + 2)
Now we can distribute the terms of each binomial:
= a³ – 5a²b + 2a – a²b + 5ab² – 2b
Simplifying the terms, we can combine like terms:
= a³ – 6a²b + 5ab² + 2a – 2b
Therefore, the simplified expression is a³ – 6a²b + 5ab² + 2a – 2b
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Here's a question ~
Two lines passing through the point (2 , 3) intersect each other at an angle of 60° . If slope of one line is 2, then find the equation of the other line ~
note : there are two possible slopes !
Need Proper Explanation ~
Answer:
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Step-by-step explanation:
It is given that –
Slope of the first line is–
[tex]\sf\longmapsto \: m_{1} = 2[/tex]
Let,
the slope of the Another line be –
[tex]\sf\longmapsto \: m _{2}[/tex]
Now,
The angle between the two lines is 60°.
Let's start solving!
[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]
[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]
[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]
[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]
[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]
The equation of line passing through point (2,3) and having a slope of –
[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]
is–
[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]
[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Hence the equation of the other line is -
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Real answers and explanations ONLY! I’ll name you brainiest if correct
Answer:
1/10⁶ or 0.000001Step-by-step explanation:
For every time you have a probability of getting 1 is:
P(1) = 1/10For all 6, the probability of outcome of 1 is:
P(1x6) = (1/10)⁶ = 0.000001Probability of 1
P(1)=1/10Probability of 6
P(1×6)
(1/10⁶)10^{-6}WILL GIVE BRAINLIEST 100 POINTS
BRAINLIEST TO BEST EXPLANATION OF WHAT YOU DO TO FIND SCALE FACTOR AND CENTER :D
ANSWER ALL QUESTIONS FOR BRAINLIEST
Answer:
to find the scale factor for a dilation, we would find the center point of dilation and measure the distance from this center point to a point on the shape from before (preimage) and also the distance from the center point to a point on the shape.
The table shows the probability distribution of Pamela seeing red cars and green cars on her way to office.
Pamela can expect to see ___ red cars and___ green cars on her way to office.
The expected value of a dataset is the mean of the dataset.
The complete text is: Pamela can expect to see 1 red car and 1 green car on her way to office.
Expected value is calculated as:
[tex]\mathbf{E(x) =\sum x \times P(x)}[/tex]
For the red cars, we have:
[tex]\mathbf{Red = 0 \times 0.43 + 1 \times 0.31 + 2 \times 0.14 + 3 \times 0.10 + 4 \times 0.02}[/tex]
[tex]\mathbf{Red = 0.97}[/tex]
Approximate
[tex]\mathbf{Red = 1}[/tex]
For the green cars, we have:
[tex]\mathbf{Green= 0 \times 0.45 + 1 \times 0.17 + 2 \times 0.22 + 3 \times 0.07 + 4 \times 0.09}[/tex]
[tex]\mathbf{Green= 1.18}[/tex]
Approximate
[tex]\mathbf{Green= 1}[/tex]
Hence, the expected values of red and green is 1.
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2. An architect is reading a plan that is drawn on a scale of 0.75 inches to 1 foot. If the plan says that a room is 12 feet high, how high is the roof in the drawing?
Answer:
9 Inches
Step-by-step explanation:
1 feet is 0.75 inches
12 feet will be 0.75 * 12 = 9 inches
Therefore,it 9 inches.
Answer:
9 inches
Step-by-step explanation:
12 * 0.75 = 9
Answer: 9
This circle has a circumference of 40 centimeters.
Calculate its diameter
Answer:
d≈12.73cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for d
d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm
For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment
The inequality that represents the situation is:
[tex]3q + 3 > 51[/tex]
The first assignment had at least 17 questions.
On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.The total number of questions is:
[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]
Since the total is greater than 51, the inequality is:
[tex]3q + 3 > 51[/tex]
Solving the inequality, we have that:
[tex]3q > 48[/tex]
[tex]q > \frac{48}{3}[/tex]
[tex]q > 16[/tex]
Thus, it is found that the first assignment had at least 17 questions.
A similar problem is given at https://brainly.com/question/24514895
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
Answer: The answer is $20
Multiply 400 by .05 or 5%.
If you wanna know 6 years it would be 536 usd
Explanation:
This would be an compound interest. Meaning that your gain every year would increase exponentially.
The equation to calculate this would be: Kn = K0⋅
(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.
Kn=400⋅
(1+5100)6
During a 1-hour period, a TV show has 40 minutes of programming. The rest of the
time is for commercials. How much time user every hour for commercials?
Answer:20 mins
Step-by-step explanation:
If its one hour than thats 60 mins which means you have to minus 40.thats is 20
Hope it helps
Answer:
20 Minutes
Step-by-step explanation:
An hour is 60 minutes.
60 - 40 is 20 minutes.
Write an algebraic expression for three times the sum of the first two multiples of four.
5.32×10^5 solve it please need it by 12:00
Answer:
532,000
Step-by-step explanation:
10^5= 100,000
100,000 x 5.32
Move the decimal place 5 spaces to the right.
It gives you 532,000
Answer:
532000Step-by-step explanation:
5.32 × 10^5 =
532/100 × 100000 =
133/25 × 100000 =
532000
what is the equivalent value of 1/3×(−15)
i need to find the slope and the value of A B
Answer:
the slope is 2 and a=8 b=6
Step-by-step explanation:
A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the car?
60% of the people from the survey are completely satisfied
Pick the odd one out. A) 8÷4×2 B) 5×1−1 C) 3×3−5 D) 3×2+1
Answer:
D
Step-by-step explanation:
cause 8÷4 =2 and ×2 =4
5x1=5-1=4
3×3=9-5=4
3×2=6-1=5
The odd one is the different one cause every other one answer is 4 expecet d ....d answer is 5
Please show the process of your result. Thank you! :D
Answer:
[tex]3\sqrt{7}[/tex] Is correct answer
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
A rectangular farm is 600m long and 200m wide. If 1/3 of it is used for planting rice, what is the area of the remaining land in hectares? a) 4ha b) 8ha c) 12ha d) 80ha e) 120ha please respond its urgent.
Answer:
8ha
Step-by-step explanation:
600*200 = 120000
120000* 1/3 = 40000
120000 - 40000 = 80000
10000m = 1ha
80000m = 8ha
The area of the remaining land is 8 hectares. The correct answer would be an option (B).
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
The total area of the rectangular farm is 600m × 200m = 120,000 square meters.
If 1/3 of it is used for planting rice, then the area used for planting rice is 1/3 × 120,000 = 40,000 square meters.
Therefore, the area of the remaining land is 120,000 - 40,000 = 80,000 square meters.
To convert this to hectares, divide by 10,000, so the area of the remaining land is 80,000 / 10,000 = 8 hectares. So the answer is 8 hectares.
Hence, the correct answer would be an option (B).
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I need the equation and the answer please it’s due tonight
Answer:
The answer is 27.15
this is your equation to your answer step by step
4.40+ 3.25=
7.65
7.65+3.25=10.9
10.9+3.25=14.15
14.5+3.25=17.4
17.4+3.25=20.65
20.65+3.25=23.9
23.9+3.25=
6.5 x 1/9 please help
Answer:
13/18
Step-by-step explanation:
6.5 · 1/9 = 6 5/10 · 1/96 5/10 · 1/9 = 6 1/2 · 1/96 1/2 · 1/9 = 13/2 · 1/913/2 · 1/9 = 13/18Therefore, 6.5 · 1/9 = 13/18.
Can some pls help me?
Answer:
4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
E to A is 3 and D to A is 2 so you add the two together and get 5 which is B.
Let me know if I'm wrong.
Help please! I can't understand this question!
Answer:
Step-by-step explanation:
y = 2x + 8
She know 8 songs. 8 will be the y-intercept and each month she learns 2 songs which will be the slope of the function.
Answer:
y=2x+8
Step-by-step explanation:
It's for how many songs he knows in total
2 songs a month so
songs he knows=2(number of months)+the 8 he already knows
jamie is 3 years less than three times Andys age. In five years the sum of their ages will be 59.How old are they now
Answer:
Andy : 13 years old and
Jamie: 36 years old
Step-by-step explanation:
Andy = x
Jamie = 3x - 3
In 5 years:
(X+5)+(3x-3+5) = 59
4x + 7 = 59
4x = 59 - 7
x = 52/4
x = 13
Help please and hurry
Answer:ok here u go
Step-by-step explanation the reason its no solutions is because there is no x and that makes the problem no solution
a contractor is given a scale drawing of a rectangular patio. the scale from the patio to the drawing is 4 feet to 1 inch. what is the area of the actual patio?
What are the coordinates of the terminal point determined by T=20pi/3
Answer:
t=5x=3049
Step-by-step explanation:
Answer:
The answer is cos=(-1/2, square root -3/2)
Step-by-step explanation:
A square has an area of 4 square feet. What is the perimeter of the square, rounded to the nearest foot?
A. 8
B. 12.5
C. 28
D. 200
A theater has 30 rows of seats. There are 22 seats in the first row, 26 in the second row, 30 in the third row, etc. How many people will the theater hold ?
Arithmetic Sequence
rows ---------32-n
first term ------------26-----------a
d---------------------------4
Sn = n/2( 2a+(n-1)d)
=32/2 (2*26+(31)4)
=16(52+124)
=16(176)
=2816 seats
If theater has 30 rows of seats, then the number of people that the theater will hold is 2400 people.
To find out how many people the theater will hold, we need to calculate the total number of seats across all 30 rows. Since the number of seats increases by 4 for each successive row, we can treat this as an arithmetic sequence.
The formula to find the sum of an arithmetic sequence is = (n/2) × (first term + last term),
where n = number of terms and the first and last terms are given,
In this case : First term = 22,
Last term = 22 + (30 - 1) × 4 = 22 + 116 = 138,
Number of terms (rows) = 30,
Sum = (30/2) × (22 + 138) = 15 × 160 = 2400;
Therefore, The theater will hold 2400 people.
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HELP QUICKKKK!!!!!
Point S lies on AB. If AB = 34 units, AS = 5 + 2x units, and SB = x + 2 units, what is the length of AS in units?
Enter the correct answer in the box.
units
Answer:
AS=9
Step-by-step explanation:
May I please receive help?
Answer:
28°
Step-by-step explanation:
1. We can see that ∠GFH has two smaller angles within it: ∠1 and ∠2. Given that m∠GFH is 53° (the whole thing), and m∠2 is 25° (a part of it), we just have to subtract 25 from 53 to get the measure of ∠1.
[tex]53 - 25[/tex] [tex]28[/tex]Therefore, m∠1 = 28°.