Answer:
a.) a² + b² + c ² + 2ab + 2ac + 2bc
b.) a² + b² + c² - 2ab - 2 ac + 2bc
c ) a² + b² + c² + 2ab - 2ac - 2bc
d.) a² + b² + c² - 2ab + 2ac - 2bc
Step-by-step explanation:
Use ( a + b + c )² = a² + b² + c² + 2 × ab + 2 × ac + 2 × bc to expand all these expressiona) ( a + b + c )²
= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc
= a² + b² + c ² + 2ab + 2ac + 2bc
b.) ( a - b - c )
= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)
= a² + b² + c² - 2ab - 2 ac + 2bc
c.) ( a + b - c )²
= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)
= a² + b² + c² + 2ab - 2ac - 2bc
d.) (a - b + c ) ²
= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)
= a² + b² + c² - 2ab + 2ac - 2bc
i don’t understand how to find the number that goes into the blank box.
Answer:
8
Step-by-step explanation:
It asks for the y-intercept. The y-intercept is (0,?) the slope is -3 which means it's decreasing by 3. 5+3=8 so 8 is the y-intercept.
Hope this helps and pls tell if it's correct.
Which of the following statements is false? PLEASE HELP ASAP!
Answer:
C
Step-by-step explanation:
which choices are equivalent to the expressions below ? Check all that apply
√5 × √5
rewrite these sets in listing method
a) A=(letters of the word "COLLECTION")
PLEASE DO IT IN LISTING METHOD
Explanation:
We simply list each letter one time. Any duplicates are tossed. If you sorted the letters alphabetically, then you'd get {C, E, I, L, N, O, T}. However, the order doesn't matter with sets.
Note: This listing method is another name for "roster method". Think of how sports teams list their roster, which is basically just a list of the players' names.
Find f(4) if f(x) = 3x + 13
We are given the linear function below:
[tex] \large{f(x) = 3x + 13}[/tex]
To find f(4), simply substitute x = 4 in the equation.
[tex] \large{f(4) = 3(4) + 13} \\ \large{f(4) = 12 + 13} \\ \large \boxed{f(4) = 25}[/tex]
Answer
f(4) = 25Solve question no. A and B
Answer:
Mean A=7
median B=3/4 .75
Answer:
Step-by-step explanation:
mean = sum of data / no of data
= 4+7+5+9+11+6 /6
=42 / 6
=7
mean = 7
to find median arrange the data from ascending to descending order
Data = 3,4,6,8,10,12
median = (N +1) / (N means no of data)
=(6 +1) / 2
=7/2
=3.5
= 3 rd term + 4 th term / 2
=6 + 8 / 2
=14 / 2
=7
median = 7
Express x^2 + 4x - 7 in the form (x + a)^2 - b where a and b are intergers
Answer:
[tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex]
Step-by-step explanation:
Given: [tex]x^2+4x-7[/tex]
Complete the square: [tex](x^2+4x+16)-23[/tex]
Reduce trinomial: [tex](x+4)^2-23[/tex]
Therefore, [tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex].
the slope of the line below is -5/7 write a point slope equation of the line using the coordinates of the labeled point (6,2)
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___
A. 92, 66, 28
B. 1024, 2048, 4096
C. 64, 32, 16
D. 32, 8, 2
Answer:
C. 64, 32, 16
Step-by-step explanation:
This geometric sequence is made by dividing the numbers by 2:
512 ÷ 2 = 256
256 ÷ 2 = 128
Hence, the next term will be
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
Therefore, the correct answer is C.
The next 3 terms in the given geometric sequence are 64, 32, and 16, respectively. The correct option is C.
What is geometrical series?A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series is a geometric sequence, therefore, the common ratio between any two terms will be the same. Therefore, we can write, the ratio as,
Common ratio, r = a₂ / a₁ = 256 / 512 = 1/2
Now, the nth term of the given sequence can be defined as,
aₙ = a₁ × r⁽ⁿ⁻¹⁾
= 512 × (1/2)⁽ⁿ⁻¹⁾
Therefore, the next term of the given geometric progression will be,
a₄ = 512 × (1/2)³ = 64
a₅ = 512 × (1/2)⁴ = 32
a⁶ = 512 × (1/2)⁵ = 16
Hence, the next 3 terms in the given geometric sequence are 64, 32, and 16, respectively.
Learn more about Geometrical Series here:
https://brainly.com/question/4617980
#SPJ2
2) through:(-1,-1), slope = -4
Evaluate angles d and e, giving reason for your answer
Answer:
Ok so we know that the angle on top is 110 since the angle above is the same.
we also know that all the angle of the triangle will add up to 180 so
D+(180-E)+110=180
we also know that d and the angle directly across are the same so
180-110=70
70divide by 2 equals 35
now we subtratch 35 from 180 to get 145
E=145
D=35
Your Welcome
BIFFY OUT!!!
Answer:
d=e=35 degree
Step-by-step explanation:
please I need this question fast please
We have a linear function y=kx+b and we know that [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex] [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]
Wowowowowowoowowowowow
On acm grid, point p has the coordinates (3,-1) and point q has the coordinates (-5,6)
Calculate the shortest distance between p and q
Answer:
√113
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(-5 - 3)² + [6 - (-1)]²
√(-8)² + (7)²
√(64) + (49)
√113
PQ, QR, RS, and SP are tangent to ⨀ X. Find RS.
Answer:
Step-by-step explanation:
Is "2.323223222…" a rational number.
Answer:
No,
Step-by-step explanation:
No, it's irrational.
Because, it is a non-terminating non recurring type number.
please help and explain answer
Anyone know the answer to this ??
Answer:
18 i think sorry if i am wrong
Step-by-step explanation:
which linear inequality is represented by the graph
Answer:
Step-by-step explanation:
List 10 fractions between: -1 and -2.
Answer:
[tex]{ \tt{ - \frac{10}{10}}} , \: { \tt{ - \frac{11}{10} }}, \: { \tt{ - \frac{12}{10} }}, \: { \tt{ - \frac{13}{10} }}......{ \tt{ - \frac{20}{10} }}[/tex]
Evaluate the expression. r = <5, 9, -4>, v = <3, 3, -8>, w = <9, -6, -1> v ⋅ w (5 points)
<-15, -27, -32>
0
17
<27, -18, 8>
Answer:
s
Step-by-step explanation:
P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and ∠SQR = 36°.
Work out
∠RPQ
Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
In ΔNOP, the measure of ∠P=90°, NP = 35, ON = 37, and PO = 12. What ratio represents the sine of ∠N?
Answer:
12/37
Step-by-step explanation:
SOH - CAH - TOA
O = opposite
A = adjacent
H = hypotenuse
Sin = O/H
Sin N = 12/37
Answer:Find sin N
sinN=
hypotenuse/opposite
12/37
Step-by-step explanation:
HARNESS SKILL Direction: Complete the proof by writing the reason for each statement. Choose your answer inside the box. Write your answer on the space provided.
GIVEN: △LMN with exterior angle ∠LNP
PROVE: m∠LNP>m∠MLN
Proof:
Let us prove that m∠LNP>m∠MLN by constructing the following:
1. midpoint Q on LN such that LQ ≅ NQ
2. MR through Q such that MQ ≅ QR
Vertical Angles are congruent
SAS Triangle Congruence Postulate
Substitution Property of Equality
Property of Inequality
By Construction
Angle Addition Postulate
Segment Addition Postulate Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Transitive Property of Equality
pahelp po plss, kailangan ko na kasi e salamat
Answer:
1) Given
2) vertical angles
3) SAS
4) CPCTC
5) Angle Addition
6) By construction
7) Transitive
Step-by-step explanation:
Need help seriously
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Vowels: A, E, I, O, U
There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.
[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Hope this is helpful
Your friend claims that the only solution to the equation sin(x)=1 is x=90 degrees. Is your friend correct? If there are more solutions, explain how to determine additional solutions.
Answer:
see below
Step-by-step explanation:
sin(x)=1
Take the inverse sin of each side
sin ^ -1(sin(x))=sin ^-1(1)
x =90 + 360n where n is an integer
We can go around the unit circle and find more solutions
When x = 450, sin 450 = 1
When x = -270, sin (-270) = 1
y-5 = -3 (x+2) in standard form
Answer:
maybe y - -3x = -11?
Step-by-step explanation:
im rushing so i may have did it wrong sorry
Question 2 Multiple Choice Worth 1 points)
(01.04 LC)
Choose the missing step in the given solution to the inequality -X – 10 > 14 + 2x.
-X - 10 > 14 + 2x
-3x - 10 > 14
X<-8
Answer:
see below
Step-by-step explanation:
-X – 10 > 14 + 2x.
Subtract 2x from each side
-x-2x -10 > 14+2x-2x
-3x -10 > 14
Add 10 to each side
-3x -10+10 > 14+10
-3x > 24
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 24/-3
x < -8
find the subsets of ( S,Q,L,R)
Answer:
{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}
Plz help me tyvm :/
10 points
(no links)
(no wrong or guessed answers)
Answer:
2y
Step-by-step explanation:
2x-3=2y
2x-2y=3
Answer:
x = 3, y = 1.5
Step-by-step explanation:
Given the 2 equations
x + 2y = 6 → (1)
2x - 3 = 2y → (2)
In (2) subtract 2y from both sides and add 3 to both sides
2x - 2y = 3 → (3)
Adding (1) and (3) term by term will eliminate the y- term
3x = 9 ( divide both sides by 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
3 + 2y = 6 ( subtract 3 from both sides )
2y = 3 ( divide both sides by 2 )
y = 1.5