The special product formula for the 'square of a sum' is
(a + b)² = a² + 2ab + b².
(a + b)² = (a +b)×(a + b)
By applying Distributive law in multiplication, we know
(a + b)² = a×(a + b) + b×(a + b)
(a + b)² = a² + ab + ba + b²
(a + b)² = a² + 2ab + b²
For example, (3 + 2)²
We know that (3 + 2)² = 5² = 25
But let us try applying the special product formula
(3 + 2)² = 3² + 2×3×2 + 2²
(3 + 2)² = 9 + 12 + 4
(3 + 2)² = 25
So we can use this formula in cases where we don't know the square of a sum. Many applications can be seen like solving quadratic equations.
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yall some hot cheetos with some fresh lime juice and Tajin be bussin P.S im eating some right now tehheee
what yall fav snack combo
Answer:
ruffles classic + those two bite cupcakes literally best thing to exist
Step-by-step explanation:
Answer:
Honestly, twinkies with twinkies
Step-by-step explanation:
#WhyNot
The graph represents the piecewise function:
find 5 rational number between 2/-7 and 5/6
Answer:
-11/42, -10/42, 10/42, 11/42, 12/42
Step-by-step explanation:
First of let's find the LCM of the denominators.
LCM of 6 and 7 is 42
Thus, -2/7 can also be expressed in terms of 42 as denominator as; -12/42
Similarly, 5/6 can also be expressed in terms of 42 as denominator as; 35/42
Thus, any five rational numbers could come in the form of the numerator being between -12 to 35 with the denominator being 42.
Thus, five rational numbers between -2/7 and 5/6 are;
-11/42, -10/42, 10/42, 11/42, 12/42
Please help me with this homework please
Answer:
x = 15
Step-by-step explanation:
x² = 12² + 9²
x² = 144 + 81
x² = 225
x = √225
x = 15
pls help asap! ill give brainliest:))
Answer:
the answer should be 38.75
help me please!!!
What is the value of -3x^5+ 2x^2+ x -5 when x = -1
Answer:
-1
Step-by-step explanation:
Plug in calculator
-3(-1)^5+2(-1)^2-1-5 = -1
can you help me with this
Answer:
p(x - 4) = x³ - 12x² + 48x - 69
Step-by-step explanation:
To evaluate p(x - 4), substitute a = x - 4 into p(a), that is
p(x - 4) = (x - 4)³ - 5
= (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL
= (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis
= x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms
= x³ - 12x² + 48x - 69
You pick from cards at random 2 4 5 6 7 8 9 Which is P(prime)
Answer:
2, 3, 5, 7
Step-by-step explanation:
They are all prime
Answer: 2,3,7,5
Step-by-step explanation:
2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself
Estelle tried to evaluate the expression 27 - (8 - 3) x 4. Here is her work:
27 - (8 - 3) x 4
= 27 - 5 x4
Step 1
= 22 x 4
Step 2
= 88
Step 3
Is Estelle's work correct?
No, Estelle made a mistake in Step 1. Estelle should have multiplied instead of
subtracting. The order of operations says to multiply before you subtract.
No, Estelle made a mistake in Step 2. Estelle should have multiplied before
she subtracted. The order of operations says to multiply before you subtract.
Yes, Estelle's work is correct.
Answer:
No, Estelle made a mistake in step 2
Step-by-step explanation:
Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
Answer:
The equation of the the line that is perpendicular to 4·x + 6·y = 1 and that has a greater intercept to the line 2·x + 3·y = 18 can be 2·y - 3·x = 14
Step-by-step explanation:
The line which is perpendicular to the required line = 4·x + 6·y = 1
The line with which the required line has a greater intercept = 2·x + 3·y = 18
Solution;
The relationship between the slope, m₁, of a straight line, y = m₁·x + c₁ perpendicular to another straight line, y = m₂·x + c₂, with slope m₂ is given as follows;
m₁ = -1/m₂
Rewriting the equation of the given line in slope and intercept form gives;
4·x + 6·y = 1
6·y = 1 - 4·x
y = 1/6 - 4·x/6 = 1/6 - 2·x/3 = 1/6 - (2/3)·x
∴ y = 1/6 - (2/3)·x
Therefore, the slope, 'm₁', of the line y = 1/6 - (2/3)·x, is m₁ = -(2/3)
The slope of the perpendicular line, is therefore, m₁ = -1/m₂
∴ m₂ = -1/m₁
m₂ = -1/(-(2/3)) = 3/2
The intercept of a straight line of the form y = m·x + c is 'c'
The intercept of the line 2·x + 3·y = 18 is obtained by rewriting the equation of the line in slope and intercept form as follows;
2·x + 3·y = 18
y = 18/3 - (2/3)·x = 6 - (2/3)·x
y = 6 - (2/3)·x = -(2/3)·x + 6
y = -(2/3)·x + 6
By comparing the above equation to the equation, y = m·x + c, we have;
c = 6
The intercept of the line y = -(2/3)·x + 6, which is the same line as 2·x + 3·y = 18 is 6
∴ The intercept of the required line, c₂ > 6
The equation of the required line in slope and intercept form, y = m·x + c, can therefore be;
y = (3/2)·x + 7
By multiplying by 2, we get;
2·y = 3·x + 14
∴ The equation of the line can be 2·y - 3·x = 14.
‼️ PLEASE HELPPPP ‼️
Answer:
blank 1- 2304
blank 2- 2736
Step-by-step explanation:
hope it helps
Find the height of the pyramid.
Answer:
hight is 158
Step-by-step explanation:
I know the answer is 825 but what is the constant of proportionality??
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Hieight is 65m
volume is 35
Step-by-step explanation:
Who can help me with my homework for free
Answer:
me ig
Step-by-step explanation:
Find the coordinates of the point which divides the join of (-1,7) and (4.-3) in the ratio 2:3 ??
Please don't post invalid answer ..
please
Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3 ?
Solution:-Let the given points be A(-1,7) and B(4,-3)
Now,
Let the point be P(x, y) which divides AB in the ratio 2:3
Here,
[tex] { \bf x \: = \frac{m_1 x_2 \: + \: m_1 x_1}{m_1 \: + \: m_2}} [/tex]Where,
[tex] m_1 [/tex] = 2 , [tex] m_2 [/tex] = 3
[tex] x_1 [/tex] = -1 , [tex] x_2 [/tex] = 4
[tex] \therefore [/tex] Putting values we get,
x = [tex] \frac{2 \: × \: 4 \: + \: 3 \: × \: -1}{2 \: + \: 3} [/tex]
x = [tex] \frac{8 \: - \: 3}{5} [/tex]
x = [tex] \frac{5}{5} [/tex]
x = 1
Now,
Finding y
[tex] { \bf y \: = \frac{m_1 y_2 \: + \: m_2 y_1}{m_1 \: + \: m_2}} [/tex]Where,
[tex] m_1 [/tex] = 2 , [tex] m_2 [/tex] = 3
[tex] x_1 [/tex] = 7 , [tex] x_2 [/tex] = -3
[tex] \therefore [/tex] Putting values we get,
y = [tex] \frac{2 \: × \: -3 \: + \: 3 \: × \: 7}{2 \: + \: 3} [/tex]
y = [tex] \frac{-6 \: + \: 21}{5} [/tex]
y = [tex] \frac{15}{5} [/tex]
y = 3
Hence x = 1, y = 3
So, the required point is P(x, y)
= P(1, 3)
The coordinates of the point is P(1, 3). [Answer]_______________________________________
Note:- Refer the attachment.
_______________________________________
consider the function below
f(x) = x^2 - 6x + 5
plot the x-intercept(s), y-intercept,vertex, and axis of symmetry for the function. please i need a answer
X-intercept (5,0),(1,0)
Y-intercept (0,5)
Vertex (3,-4)
Axis of Symmetry x=3
Last week, an information centre had 950 visitors. This week it had 1026 visitors. What is the percentage increase?
Answer:
8%
Step-by-step explanation:
Find the percent increase by dividing the difference in visitors by the original amount, then multiply it by 100
(76/950) x 100
= 8
So, the percent increase is 8%
A 12 foot ladder is leaning against a wall and the foot of the ladder is 5 feet away from the wall. What is the angle between the ground and the ladder
Answer:
65.38degrees
Step-by-step explanation:
Given the following
Length of ladder = 12foot = hypotenuse
Distance of the ladder from the wall = 5ft = adjacent
Required
Angle between the ground and the ladder theta
Using the SOH CAH TOA identity
Cos theta = adj/hyp
Cos theta = 5/12
Cos theta = 0.41667
theta = arccos(0.41667)
theta = 65.38 degrees
Hence the angle between the ground and the floor is 65.38degrees
Un cilindru circular drept are raza bazei egală cu 27 , iar înălțimea cilindrului este egală cu 11 . (unitatea de măsură o alegi tu). De aflat aria totală și volumul cilindrului. VA ROG URGENT
Answer:
1) 6447,55 unități pătrate
2) 25192,43 unități cubice
Step-by-step explanation:
1) Suprafața totală a unui cilindru
Formula = 2πr (r + h)
r = 27 de unități
h = 11 unități
Suprafața totală = 2 × π × 27 × (27 + 11)
= 6446.54813 unități pătrate
Aproximativ = 6447,55 unități pătrate
2) Volumul cilindrului
Formula = πr²h
= π × 27² × 11
= 25192,43 unități cubice
Which function has a graph with
x-intercepts of (-2, 0) and (7,0)?
The photo is the answers
What is greater or are they equal
1. 8.13 or 8.4
2. 0.004 or 0.05
3. 0.4repeating or 0.4
Answer:
Step-by-step explanation:
8.13<8.4
.004<.05
.4 repeating>.4
What is 3/4 divided by 1/2
Respuesta: 3/2= 1 1/2
Answer:
1 1/2 or 1.5
Step-by-step explanation:
To divide a fraction, use the phrase, "keep, change, flip"
We keep the first fraction as it is, change the sign to multiplication, and flip the second fraction to its multiplicative inverse.
So 3/4 divided by 1/2 becomes:
3/4 x 2/1
= 6/4 = 1 1/2
Ali's mom filled the cookie jar with 7 chocolate chip cookies, 6 peanut butter cookies, and 2 raisin cookies. She filled the candy jar with 14 peppermints and 12 caramels. If Ali randomly pulls one cookie and one candy from each jar, what is the probability that she pulls a raisin cookie and a peppermint?
Answer:
Probability: 131/195
Step-by-step explanation:
Total cookies:
7 + 6 + 2 = 15
Total candies:
14 + 12 = 26
Probability of raisin:
2/15
Probability of peppermint:
14/26 = 7/13
Probability of both:
2/15 + 7/13
131/195
True or False: A sector of a circle with a measure of 36" and radius of 12 cm has an arc length of about 15 cm. O True O False
Answer:
The answer of this question is False
What is the solution, and independent and dependent veribles?
Answer:
The independent variable is the cost of the item ([tex]d[/tex]), whereas the dependent variable is the change ([tex]c[/tex]) received by Darrel, since that quantity is calculated by subtracting the cost of the item from the value of the bill. The equation is the following linear equation: [tex]c = 20.00 - d[/tex]
Step-by-step explanation:
The independent variable is the cost of the item ([tex]d[/tex]), whereas the dependent variable is the change ([tex]c[/tex]) received by Darrel, since that quantity is calculated by subtracting the cost of the item from the value of the bill. The equation is the following linear equation: [tex]c = 20.00 - d[/tex]
Which is the most accurate way to estimate 25% of 14?
A: 2/3 x 12
B: 1/4 x 12
C: 3/4 x 12
D: 1/2 x 12
Answer:
2/3 x 12=8
1/4 x 12= 3
3/4 x 12 =9
1/2 x 12 = 6
What is the domain of the function graphed below?
Answer:
the answer is c
Step-by-step explanation:
Domain is [tex]{ x|x\neq -1,2,4}[/tex]
What is domain ?The domain of a function is the complete set of possible values of the independent variable.
The domain is the set of all possible x-values which will make the function "work", and will output real y-values
We need to find the domain of the function graphed
Domain are the values of x for which the function is defined.
For domain, we look at the x values of the graph.
We have graph for x values the graph goes close to x = -1 and x = 4 axis but does not cross x = -1 and x = 4axis. and at x =2 not define
So , domain is set of all x values [tex]{ x|x\neq -1,2,4}[/tex]
Hence, domain is [tex]{ x|x\neq -1,2,4}[/tex]
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ū= (5,8)
Find the direction angle of ū.
Enter your answer as an angle in degrees between 0 and 360° rounded to the nearest hundredth.
Assuming the angle made by a vector refers to the angle it makes with the positive horizontal axis, take the dot product of u with the vector (1, 0), and recall that
a • b = ||a|| ||b|| cos(θ)
where θ is the angle made by the vectors a and b. Then
u • (1, 0) = ||u|| ||(1, 0)|| cos(θ)
We have
u • (1, 0) = 5×1 + 8×0 = 5
||u|| = √(5² + 8²) = √89
||(1, 0)|| = √(1² + 0²) = √1 = 1
so that
5 = √89 cos(θ)
cos(θ) = 5 / √89
θ = arccos(5 / √89) ≈ 57.99°
Math equations giving Brainliest