(a+b)² = a²+2ab+b² prove that.
Answer:
see explanation
Step-by-step explanation:
(a + b)²
= (a + b)(a + b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + b) + b(a + b) ← distribute parenthesis
= a² + ab + ab + b² ← collect like terms
= a² + 2ab + b²
Answer:
(a+b) is squared which means (a+b)(a+b)
Lets prove it
= (a+b)(a+b)
= a(a+b) + b(a+b) (Here a will mutiply by (a+b) and b will mutiply with (a+b)
= a²+ab + ab + b²
= a²+ 2ab + b²
Hence proved (a+b)² = a²+ 2ab + b²
please click thanks and mark brainliest if you like :)
Which is the answer ?
c는 답이다
[tex]x \sqrt[7]{ {x}^{2} } \\ = c \: is \: the \: answer[/tex]
Monica makes tomato sauce with the plants she grows in her garden. She uses 3 basil leaves in her sauce for every 8 tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden.
Answer: 12 Basil leaves
Step-by-step explanation:
Given
Monica uses 3 basil leaves for every 8 tomatoes
For 32 tomatoes she needs
[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]
Thus, she needs 12 basil leaves.
help I don't get it
Answer:
2)
3)
4)
5)
6)
Step-by-step explanation:
A rectangular bathroom mirror has a perimeter of 22 feet. Its area is 18 square feet. What are the dimensions of the mirror?
Answer:
The dimensions of the mirror is 9 feet and 2 feet
Step-by-step explanation:
Keep in mind that the area and perimeter of a rectangle is:
Area - length x width
Perimeter - 2 (l + w)
List the factors of 18 (the area of the mirror):
1, 2, 3, 6, 9, 18
POSSIBLE DIMENSIONS OF MIRROR:
1 ft and 18 ft
Area = 18 ft^2
Perimeter = 38 feet
2 ft and 9 ft
Area = 18 ft^2
Perimeter = 22 feet
3 ft and 6 ft
Perimeter = 18 feet
The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.
Hope these helps!
A man invested ksh. 36000 in two companies P and Q . Company P pays a dividend of 11.25% while Q pays a dividend of 10.5%. Is from his total investment, he obtained a return of 10.75%,how much did he invest in each company?
Answer:
Investment in company P = 12,000
Investment in company Q = 24,000
Step-by-step explanation:
Given that,
Total investment = 36,000
Dividend paid by company P = 11.25%
Dividend paid by company Q = 10.5%
Total return = 10.75%
Now, let investment made in company P be 'a' and company 'Q' be 'b.' So,
A.T.Q.
a + b = 36,000 ...(i)
11.25% of a + 10.5% of b = 10.75% of 36000 ...(ii)
On simplification,
a + b = 36,000
11.25% of a + 10.5% of b = 3870
Now,
11.25% of a + 10.5% of (36000 - a) = 3870
⇒ 0.1125 * a + 0.105 * (36000 - a) = 3870
⇒ 0.1125 a + 3780 - 0.105a = 3870
⇒ 0.1125a - 0.105 a - 3870 - 3780
⇒ 0.0075 a = 90
⇒ a = 90/0.0075
∵ a = 12000
Since, a = P = 12,000
Q = b = (36000 - a)
= 36000 - 12000
= 24,000
Thus,
Investment in company P = 12,000
Investment in company Q = 24,000
Answer:
Amount invested in P = 12,000
Amount invested in Q = 24,000
Step-by-step explanation:
Given:
Amount invested = 36,000 in two companies P and Q
P pays dividend = 11.25%
Q pays dividend = 10.5%
Total return = 10.75%
Find:
Amount invested in each company
Computation:
Total return = 36,000 x 10.75
Total return = 3870
Assume;
Amount invested in P = a
So,
Return in P = a x 11.25%
Return in P = 0.1125a
Return in Q = [36000 - a]10.5%
Return in Q = 3,780 - 0.105a
Total return = Return in P + Return in Q
3,870 = 0.1125a + 3,780 - 0.105a
90 = 0.0075a
a = 12,000
Amount invested in P = 12,000
Amount invested in Q = 36,000 - 12,000
Amount invested in Q = 24,000
Calculate the mass of 245 mL of benzene if the density of benzene is 0.8765 g/mL.
Answer: 214.7425g
Step-by-step explanation:
Total benzene = 245mL
Density of benzene = 0.8765g/mL
Which means there is 0.8765g benzene per mL
Mass = 245×0.8765
= 214.7425g
Therefore there is 214.7425g of mass in 245mL benzene
Must click thanks and mark brainliest
If the density of benzene is 0.8765 g/mL, the mass of benzene is 214.74 grams.
Given the following data:
Density of benzene = 0.8765 g/mL Volume of benzene = 245 mLTo find the mass of benzene:
Density is mass all over the volume of a substance or an object.
Mathematically, the density of a substance is given by the formula;
[tex]Density = \frac{Mass}{Volume}[/tex]
Making mass the subject of formula, we have;
[tex]Mass = Density[/tex] × [tex]Volume[/tex]
[tex]Mass = 0.8765[/tex] × [tex]245[/tex]
Mass = 214.74 grams.
Therefore, the mass of benzene is 214.74 grams.
Read more: https://brainly.com/question/18320053
PLESE HELP YOU WILL GET ALOT OF POINTS
Answer:
It's a (space) lot,... haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...
Step-by-step explanation:
By x the just mean what number,... so,...
what number + 6 = 7,
6 + what number = 7,
2 + what number + 5 = 7,
1 + what number = 7,
what number + 4 + what number = 7,
So that is what it mean,... hope it helps, alot LOL,... and,... Chow
HELP ME PLEASEEEE
TAXI RATES A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. Write an expression for the cost of the ride
if you travel x miles in the taxi with no traffic delays.
Step-by-step explanation:
C(x) = 2.50 + 5(0.40x)
<=> C(x) = 2.50 + 2.00 x
The required expression for the taxi charges is C(x) = $2.50 + 0.4 * x/5.
Given that,
A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. To determine an expression for the cost of the ride, if travel x miles in the taxi with no traffic delays to determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the number of miles be x,
The total charge be C(x)
Now accoding to the condition total charge could be the sum of the cost of every fifth mile and $2.40. So, every fifth mile = x / 5
Now,
C(x) = 2.40 + 0.40 * x/5
Thus, the required expression for the taxi charges is C(x) = $2.50 + 0.4 * x/5.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
NEED ASAP PLZZZ HELP
Answer:
the 1 one will be the answer
You order CDs for $14.25 each and the website charges $4.50 for each shipment.
The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for
ordering 4 CDs.
Answer:
$61.50
Step-by-step explanation:
14.25(4) + 4.50
= 57.00 + 4.50
= 61.50
find the measure of the indicated angle to the nearest degree
Answer:
missing angle= 44°
Step-by-step explanation
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan=opposite/adjacent
x is opposite of 19 and 41 is the biggest side so that is the hypotenuse. with that being said you will put in your calculator sin(19/41) and make sure that it is in radian mode. This gives you the answer of 44°
Find the sum of the second multiple of 9 and the fifth multiple of 6.
Answer:
48
Step-by-step explanation:
9,18
6,12,18,24,30
18 + 30 = 48
5+a2+ab-9c if a=5 b=4c=0
5+a2+ab-9c
let's just substitute a with 5, b with 4 and c with 0
5+5*2+5*4-9*0
= 5+10+20+0
= 35
15= 3-4a what is the value of a in the equation
Answer:
5
Step-by-step explanation:
when 13 is subtracted from 5 we get 8
again when 8=2m
8/2=m
4=m
.
help please help asap :)
Answer:
4x^3
Step-by-step explanation:
20 x^5 + 28 x^4 + 12x^3
4*5*x^5 + 4*7*x^4 + 4*3*x^3
Factor out 4x^3
4x^3 ( 5x^2 + 7x +3)
pls help i will give brainliest for answer and explanation.
Answer:
36
Step-by-step explanation:
girls:boys=2:3
2units=24
1unit=24÷2=12
boys have 3 units
3units=12 x 3 =36
There are 36 boys
Convert the angle 0 = 310° to radians. Express your answer exactly.
Answer:
5.425
Step-by-step explanation:
310° = 310° × π ÷ 180°
= 310° × 3.142 ÷ 180°
= 310° × 0.0175
= 5.425
Answer:
[tex]\frac{31\pi }{18}[/tex]Step-by-step explanation:
i got it right on khan[tex]\frac{31\pi }{18}[/tex]
Find the value of 9x + 4y, when x = 4 and y = -3.
Answer:
hope found the answers bye.
Step-by-step explanation:
9x + 4y - 4 = 0
Putting in the x-value of -1, we get:
9(-1) + 4y - 4 = 0
Simplifying:
-9 + 4y - 4 = 0
Combining the -9 and the -4:
4y - 13 = 0
Getting rid of the -13 by adding 13 to both sides:
4y - 13 + 13 = 0 + 13
4y = 13
Dividing both sides by 4:
y = 13/4
Checking: Is 9(-1) +4(13/4) -4 really zero? Yes!
Solve the equation sin(x° − 20°) = cos(42°) for x, where 0 < x < 90. A. 22 B. 28 C. 62 D. 68
[tex] \sin(x - 20°) = \cos(42°) [/tex]
[tex] \sin(x - 20°) = \sin(90° - 42°) [/tex]
[tex] \sin(x - 20°) = \sin 48°[/tex]
[tex]x - 20° = 48°[/tex]
[tex]x = 48° + 20°[/tex]
[tex]x = 68°[/tex]
______________________________■ HOPE IT HELPS YOU DEAR!!!______________________________Answer:68
Step-by-step explanation:
The graph represents a functional relationship.
Which value is an input of the function?
Iy
8
0-14
6
0-2
4
.
0 0
2
4
2
4
8 10 12 14 16 18
Х
-2
-6
-B
-10
-12
-14
By analyzing the graph we conclude that the value that is an input is x = 4.
Which value is an input of the function?
For the inputs, we need to look at the horizontal axis. In the graph we can see a closed dot at x > 0 (we can't see the exact value).
This means that the minimum of the domain is positive.
From that, we conclude that the only correct option, that we can be sure that belongs to the domain (set of the inputs), is x = 4, the third option.
If you want to learn about domains:
https://brainly.com/question/1770447
#SPJ5
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
Yo it's A
Step-by-step explanation:
An infinite sequence is one that goes on forever, in this case it's the one with the "..." at the end because that is what shows that the sequence is infinite
There are two infinite sequences, and you just have to figure out which one is an arithmetic sequence. An arithmetic sequence is one that subtracts or adds the same number every time to the previous number.
Out of the two infinite sequence choices, it's obviously not B because you aren't subtracting or adding the same number every time
It's A because you add 122 every time and it goes on forever.
hope this helps lol
Mathhhhhhhhhhhhhhhhhhhhhhhh Algebraaaaaaaa
Answer:
m=5/3
Step-by-step explanation:
Answer:
5/3 or 1 2/3
Step-by-step explanation:
First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2
Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.
Lastly, you divide by 3 to isolate the variable m.
And you get 5/3, which also equals 1 2/3
Angle Terminology with Equations
Aug 03, 8:18:32 AM
?
ZA and ZB are complementary angles. If m2A = (2x – 10)° and m
B = (x - 2), then find the measure of ZA.
EN O
Answer:
Submit Answer
attempt 1 out of 2
Pls help
If both are complementary then their sum will be 90°
[tex]\\ \sf\longmapsto m<A+m<B=90[/tex]
[tex]\\ \sf\longmapsto 2x-10+x-2=90[/tex]
[tex]\\ \sf\longmapsto 2x+x-10-2=90[/tex]
[tex]\\ \sf\longmapsto 3x-12=90[/tex]
[tex]\\ \sf\longmapsto 3x=90+12[/tex]
[tex]\\ \sf\longmapsto 3x=102[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{102}{3}[/tex]
[tex]\\ \sf\longmapsto x=34[/tex]
Now
[tex]\\ \sf\longmapsto <A=2x-10=2(34)-10=68-10=58[/tex]
a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are less
then zero
Answer:
- 10, - 40
Step-by-step explanation:
200, 170, 140, .... - 10, - 40 ....
30 × 5 = 150
140 - 150 = - 10
- 10 - 30 = - 40
can i please get some help on this one ASAP!
Answer:
This is a 4th degree polynomial!
Step-by-step explanation:
Because the polynomial starts of the a number with a 4th degree and decreases down with lower numbers. Simply put, because (x^4) has the largest degree.
Hope this helps, good luck! :)
Guided Practice
Find the first, fourth, and eighth terms of the sequence.
an=−2 · 5n−1a subscript n baseline equals negative 2 times 5 superscript n minus 1 baseline
A.
–2; –250; –156,250
B.
0; –250; –156,250
C.
–10; –1000; –10,000,000
Answer:
A.
–2; –250; –156,250
Step-by-step explanation:
A(1) = -2 x 5(1) - 1 = -11
A(4) = -2 x 5(4) -1 = -41
A(8) = -2 x 5(8) -1 = -81
...............................................................................................................................................
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
so
an=-2(5)^(n-1)
first term is -2
4th term is subsitue 4 for n
a4=-2(5)^(4-1)
a4=-2(5)^3
a4=-2(125)
a4=-250
4th term is -250
--------------------------
8th term
a8=-2(5)^(8-1)
a8=-2(5)^7
a8=-2(78125)
a8=-156250
8th term is -156250
...............................................................................................................................................
A(1)=2*5^1-1=2*5^0=2*1=2
a(4)=2*5^4-1=2*5^3=2*125=250
a(8)=2*5^8-1=2*5^7=2*78,125=156,250
...............................................................................................................................................
2, 250, 156, 250
Find the values of the unknown angles marked with letters. please help me- it is about alternate angles
100 points!!!
a ?
b ?
c ?
d ?
Answer:
Step-by-step explanation:
Find either c or d first. Those are easy and everything will fall into place after those 2 are found.
c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.
d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.
a and c are same side interior, so they are also supplementary. That means that a = 115°.
b and d are also same side interior, so they are also supplementary. That means that b = 70°.
If ABC - AZXY, mZA = 50, and mZC = 30,
what is mZX?
Let it be x
Using angle sum theory
[tex]\\ \sf\longmapsto 50+30+x=180[/tex]
[tex]\\ \sf\longmapsto 80+x=180[/tex]
[tex]\\ \sf\longmapsto x=180-80[/tex]
[tex]\\ \sf\longmapsto x=100[/tex]
using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
