3. Using the identity (a + b)² = (a² + 2ab + b²), evaluate 122²
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plz it's request to do answer fast and I will make him or her brainlist
[tex]\\ \sf\longmapsto 122^2[/tex]
[tex]\\ \sf\longmapsto (100+22)^2[/tex]
[tex]\\ \sf\longmapsto 100^2+2(100)(22)+22^2[/tex]
[tex]\\ \sf\longmapsto 10000+4400+484[/tex]
[tex]\\ \sf\longmapsto 14400+484[/tex]
[tex]\\ \sf\longmapsto 14884[/tex]
112²
Using Identity(a + b)² = (a² + 2ab + b²)
Solution⇛122²
⇛(100 + 22)²
⇛(100)² + 2 × 100 × 22 + (22)²
⇛10000 + 4400 + 484
⇛14400 + 484
⇛14884
A car travels 12 km in 15 minutes.
Work out the average speed of the car in km/h.
Step-by-step explanation:
s=12km t=15m
15m--> km= 15/60= 0,25h
V=s/t
V=12km/0,25h
V= 48 km/h
This one is confusing
Answer:
it s just asking for negative d
Step-by-step explanation:
Answer:
D(-1) = 2
Step-by-step explanation:
replace x with D(x), which in this case is -1
D(x) = x²-2x-1
replace x with -1
D(x) = (-1)²-2(-1)-1
Now solve using PEMDAS
About 10% of 8900 commuters carpool to work. Find the number of commuters who carpool.
How many commuters carpool?
Answer: 890 commuters carpool
Step-by-step explanation:
10% of 8900 = 890
8900/10= 890
Note: 10% to decimal form is 10
Answer:
10% of 8900
10/100×8900
=890
hope this is helpful
if k = p+2q/3 , find the value of p when k=7 and q=3
Answer:
k = p+2q/3
Step-by-step explanation:
k=7 and q=9
7 = p+(2*9)/3
7 = p+18/3
7 = p+6
7-6 = p
1 = p
Hope it helps!
Hope it's help you!!!! Have a good day/night
Match each polynomial on the left with its two factors on the right.
Answer:
Hello
Step-by-step explanation:
[tex]Formula: \\\\\boxed{\Large a^3\pm b^3=(a \pm b)(a^2 \mp ab+b^2)}\\\\8x^3+1=(2x)^3+1^3=(2x+1)(4x^2-2x+1)\\\\8x^3-1=(2x)^3-1^3=(2x-1)(4x^2+2x+1)\\[/tex]
The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The expression is given below.
8x³ + 1 and 8x³ - 1³
(2x)³ + 1³ and (2x)³ - 1³
We know that the formula is given as,
a³ + b³ = (a + b) (a² – ab + b²)
a³ – b³ = (a – b) (a² + ab + b²)
Then the expression is written as,
(2x)³ + 1³ = (2x + 1) [(2x)² – 2x + 1²]
(2x)³ + 1³ = (2x + 1) (4x² – 2x + 1)
(2x)³ – 1³ = (2x – 1) [(2x)² + 2x + 1²]
(2x)³ – 1³ = (2x – 1) (4x² + 2x + 1)
The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.
More about the polynomial link is given below.
https://brainly.com/question/17822016
#SPJ2
2y-x=6 and y=2x+7 graphed equals how many solutions
Answer:
One solution
BRAINLIEST, PLEASE!
Step-by-step explanation:
2y - x = 6
2y = x + 6
y = x/2 + 3
y = 2x + 7
After graphing, they have one solution at (-2.667, 1.667).
From the observation deck of a skyscraper, Isabella measures a 67
angle of depression to a ship in the harbor below. If the observation deck is 824 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
The horizontal distance from the base of the skyscraper out to the ship is 349.8feet
Angle of elevation and depressionThe angle situated above the hill is known as the angle of depression
Given the following parameters
Height of the harbor = 824 feet
Angle of depression = 67degrees
According to SOH CAH TOA identity:
tan 67 = opp/adj
tan 67 = 824/d
d = 824/tan67
d = 349.8 feet
Hence the horizontal distance from the base of the skyscraper out to the ship is 349.8feet
Learn more on angle of depression here: https://brainly.com/question/12483071
Which ordered pair is a solution to the system of inequalities? y > 2x
y > 7
A. (0, 0) B. (4, 8) C. (3, 7) D. (1, 9)
Answer:
D( 1,9)
Step-by-step explanation:
First y must be greater than 7 which eliminates A and C
y must be greater than 2 times the x value
2*4 = 8 so B is eliminated
2*1 = 2 which is less than 9 Choice D is a solution
Most brainiest for the right answer on this problem!
Answer:
82.8
Step-by-step explanation:
mean = sum of all points, over the total given number of points
84 * 26 = 2184
2184 + 69 + 66 = 2319
Now the total number of tests is 26 + 2 or 28
So divide 2319 by 28
2319/28 = 82.82142
rounded to the nearest tenth is 82.8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
a string of length 60 cm is used to form two equal circles. what wil the total circumference of the two equal circles ?
Answer:
Step-by-step explanation:
I don't know what other answer there could be but 60 cm. The circles have to have the same radius and the same circumference. They were made from a 60 cm string so their total must be 60 cm.
Is there a trick I don't see? Hope not?
A card is drawn from a well shuffled deck of 52 cards what is the probability of drawing an ace or a six
Answer:
8/52
Step-by-step explanation:
The first thing to do is write it out;
How many aces are in a deck and how many sixes?
There are 4 of each so, 4+4 = 8 therefore our beginning ratio will be;
8/52 cards are going to be an ace or a six.
Look at the image for the question?
Answer:
Surface area = the sum of the area of all six sides:
(11 · 10) + (11 · 10) + (11 · 8) + (11 · 8) + (8 · 10) + (8 · 10)
= 110 + 110 + 88 + 88 + 80 + 80
= 220 + 176 + 160
= 556 ft²
Answer:
556 ft^2
Step-by-step explanation:
The surface area of a rectangular prism is
SA = 2(lw+wh+lh) where h is the height l is the length and w is the width
SA = 2( 11*10+10*8+11*8)
= 2(110+80+88)
=2(278)
=556 ft^2
The work shows how to use long division to find?
Answer:
remainder = [tex]\frac{1}{x-2}[/tex]
Step-by-step explanation:
The remainder is the value of the subtraction of the last 2 lines in the procedure.
5x - 9
- (5x - 10)
That is
5x - 5x = 0 and - 9 - (- 10) = - 9 + 10 = 1
over the divisor x- 2 , gives
remainder = [tex]\frac{1}{x-2}[/tex]
A car dealership is advertising a car for $16,299.99. If the sales tax rate is 6.5 percent, what
is the total tax paid for the car?
A. S993 34
B. $1.000.00
CS1.059 50
DS1.359.19
Answer:
C. 1059.50
Step-by-step explanation:
Sales price x sales tax rate = sales tax
16299.99 x .065 (6.5%) = 1059.50
Find the missing side or angle round to the nearest tenth b=15 a=30 c=29 A=[?]°
Answer: 79
Step-by-step explanation:
i just did it on acellus and its right
Find the slope of the line containing the points (2, 7) and (-5, -4).
the answer is 11/7.you can see the image
Answer:
[tex]\boxed {\boxed {\sf \frac{11}{7}}}[/tex]
Step-by-step explanation:
The slope describes the direction and steepness of a line. The formula is:
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are the points the line contains. For this problem, the line contains the points (2,7) and (-5, -4). Therefore:
x₁= 2 y₁ = 7 x₂ = -5 y₂ = -4Substitute these values into the formula.
[tex]m= \frac{ -4 -7}{-5-2}[/tex]
Solve the numerator (-4 -7 = -11).
[tex]m= \frac{ -11}{-5-2}[/tex]
Solve the denominator (-5-2 = -7).
[tex]m= \frac{ -11}{-7}[/tex]
Simplify the fraction. The 2 negative signs cancel each other out.
[tex]m= \frac{11}{7}[/tex]
The slope of the line is 11/7
For a $1,000 loan at a rate of 16 3/4 % for 5 years, the simple interest is
Answer:
$837.50
Step-by-step explanation:
(1000×16.75×5)/100
83750/100=
$837.50
When it was built, the given stadium held 31,080 fans per game. Today, it holds 86,047. How many more fans could attend per year (12 games) compared to the year it was built?
Answer:
659604 students
Step-by-step explanation:
86047-31080=54967 more students per game
54967 students per game x 12 games = 659,604 students
What is the sum of the arithmetic sequence 3, 9, 15
if there are 34 terms?
===================================================
Work Shown:
a = first term = 3
d = common difference = 6
S(n) = sum of the first n terms of an arithmetic sequence
S(n) = (n/2)*(2a + d(n-1))
S(34) = (34/2)*(2*3 + 6(34-1))
S(34) = 3468
--------
Check:
3+9+15+21+27+33+39+45+51+57+63+69+75+81+87+93+99+105+111+117+123+129+135+141+147+153+159+165+171+177+183+189+195+201 = 3468
I used GeoGebra to generate the 34 terms shown above. You could do so by hand (start at 3; add 6 to each term to get the next one), but it's a tedious busywork type of problem in my opinion. It's best left to computer software.
