Answer:
Forth term = x + 6
Fifth term = x + 8
Sixth term = x + 10
Formular for nth term:
[tex]{ \tt{n _{th} = a + (n - 1)d}} \\ { \tt{{n _{th} = x + (n - 1) \times 2}}} \\ { \tt{{n _{th} =x + 2n - 2 }}}[/tex]
Answer:
Hello,
Step-by-step explanation:
First term of this aritmetical sequence is x+0*2
[tex]U_1=x+0*2\\U_2=x+2=x+1*2\\U_3=x+4=x+2*2\\U_4=x+6=x+3*2\\\\n^{th}\ term\ is\ U_n=x+(n-1)*2\\[/tex]
Select the true statement about triangle ABC.
A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C
Answer:
B
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]
cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{13}[/tex]
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{12}{5}[/tex]
Then
cosA = sinC → B
PLSS HELP!! VERY EASY.
Alex wants to invite 5 of his 9 friends to his birthday party. Two of his friends are twins and they agree to come only if they are invited together, hence Alex will either invite both or neither of them. In how many ways can Alex invite five of his friends?
Answer:
35 ways
Step-by-step explanation:
Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.
Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.
So, the total number ways we can select 5 friend out of 9 to party come to the birthday include two friends is ²C₂ × ⁷C₃ = 1 × 35 = 35 ways
What is 1/4 0.75 1/3 0.5 greatest to least
Answer:
1/4 = 1 ÷ 4 = 0.251/3 = 1 ÷ 3 ≈ 0.330.750.50.75 → 0.5 → 1/3(0.33) → 1/4(0.25)
Plz help me asap !!!
Answer:
all I know is sin square A +cos square A =1
Help please…..?!!!!!☺️
Answer:
Step-by-step explanation:
Sample space of die 1 = {1,2,2,3,3,4}
Sample space of die 2 = {1,3,4,5,6,8}.
The highest value that we get by rolling die 1 is 4 and die 2 is 8, which give the sum 12. So, we cannot have any other combinations other than this , as the highest value itself gives 12.
Rolling a sum of 12 with the dice = {(4,8) }
Probability = 1/36
Given the graph of m(x), find m(-2).
A.-2
B.0
C.5
D.-10
Need help please need it quick
Answer:
Choice A
Step-by-step explanation:
An arithmetic sequence is one which has an incremental change.
for our answer, our change is +5
Which of the following lines is parallel to the line
y = 1/2x -6
Select one:
a) y=-1/2x-6
b) y=2x+1
c) y=-1/2x+5
d) y=1/2x-3
Answer:
y = 1/2x - 3 (option - d)
Step-by-step explanation:
The lines are parallel if they have the same slope/gradient. So by comparing with y = mx + c (where 'm' is the slope and 'c' is the y-intercept).
Line y = 1/2 x - 6 has the slope m = 1/2
and the line in option 'd'
y = 1/2 x -3 has the slope m = 1/2
Slopes are equal and lines are parallel.
Thank-you.
#Muhib
if a=(p+q),b=(p-q)and c=qsquare -psquare, show that ab+c=0
Answer:
I think this is the ans
Step-by-step explanation:
ab+c=0
(p+q)(p-q)=0
p Square-q Square =0
0=p Square-q Square
PLEASE HELP ASAP
Please
Answer:
1. 10
2. 12.3
3. 34.5
and this will be the correct answer.
3. A rectangle has a length of 2x – 9 and a width of x2 + 3x – 4. What is the polynomial that models the area
of the rectangle?
Answer:
(C) 2x^3 - 3x^2 - 35x + 36
Step-by-step explanation:
First multiply 2x by x^2 + 3x - 4:
(2x)(x^2 + 3x - 4)
2x^3 + 6x^2 - 8x
Next multiply -9 by x^2 + 3x - 4:
(-9)(x^2 + 3x - 4)
-9x^2 - 27x +36
Now add the two polynomials by adding like terms:
(2x^3 + 6x^2 - 8x) + (-9x^2 - 27x +36)
2x^3 + 6x^2 - 9x^2 - 8x - 27x + 36
2x^3 - 3x^2 - 35x + 36
Hope this helps (●'◡'●)
Options:
Rotation
Reflection
Translation
Answer: Reflection
Step-by-step explanation: Please mark brainliest
What is the range of f(x) = x - 2, if the domain is {3, 1, 2)?
Answer:
Range: {1, -1, 0}
Step-by-step explanation:
Just subtract 2 from each number :)
Help on 11 pls I don’t get it plsssssssss
Answer: 33x=27 2x-1
33 x=3 3(2x-1)
as base are same so powers are equal
3x=3(2x-1)
3x=6x-3
3x-6x=-3
-3x=-3
x=1
Point T Is the incenter of PQR.Point T is the point of concurrency of the angle bisector. Find ST.
ST is 10 because since T is the incenter is equidistant from all sides.
Question 5.
Given that cos(O) = 4/5, find:
a) sin(0)
b) tan (0)
Step-by-step explanation:
here's the answer to your question
What is the value of the first term in the following arithmetic sequence?
-9, -2, 5, 12, ...
-9
7
9
-7
Answer:
-9
Step-by-step explanation:
-9, -2, 5, 12,.........
The first term is the first number in the sequence
-9
[tex]\sf{ }[/tex]
The first first term in the following arithmetic sequence
-9, -2, 5, 12, .. is -9
What is the quotient when -45 is divided by -97
Answer:
0.463
Step-by-step explanation:
Answer:
quotient is 0.4639175258
Step-by-step explanation:
quotient is the result of dividing the two numbers
-45 / -97 = (-1)*45 / (-1)*97= , simplify -1/-1 because equals 1
45/97 = .4639175258 , using the calculator
45/97 =0 R 45, zero is the quotient and 45 is the remainder
Two boys together have $12. One of them has $10 more than the other. How much money does each of them have
What is the value of k?
k=____
Answer:
2
Step-by-step explanation:
is the value of k
Answer:
2
Step-by-step explanation:
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7
Answer:
74
Step-by-step explanation:
4(2) raise to power 4 - 2(7) raise to power 2 +40
4(16) - 2(49) +40
64-98+40
64- 138
74
According to the synthetic division below, which of the following statements are true?
Answer:
Step-by-step explanation:
That 3 sitting outside there in that little "box" thing is a root/solution/zero of the polynomial. The numbers underneath the line are the coefficients of the depressed polynomial, which means that the polynomial is 1 degree lower than the degree with which we started. If we started with an x-squared, this degree is a single x, better known as linear (a line). Anyway, (x - 3) is a zero of the polynomial, which also means that it's a factor. So A applies. x = 3 is a root, so C applies. And F also because the depressed polynomial, the remainder, is 2x + 4.
pls find the value of X
Answer: 64°
Step-by-step explanation:
Since QS = RS, ∠Q = ∠R = 32°∠QSR = 180° - 32° - 32° = 116°∠QSR = ∠NSP = 116°Since MN║PS, ∠NSP + ∠N = 180° ∠N = 180° - 116° = 64°Answer:
x = 64°
Step-by-step explanation:
Since the triangle is isosceles, the base angles are congruent, that is
∠ R = ∠ Q = 32° , then
vertex angle = 180° - (32 + 32)° = 180° - 64° = 116°
∠ NSR = 116° ( vertically opposite angle )
∠ MNS and ∠ NSR are same- side interior angles and sum to 180° , then
x = 180° - 116° = 64°
which of the following are exterior angles?
Answer:
∠6
Step-by-step explanation:
An exterior angle is supplementary to its adjacent interior angle of the triangle. So ∠6 is the exterior angle.
How do you write 50% as a fraction?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Answer:
50% as a fraction would be 1/2
i need help witht he second part ITS URGENT PLS
Answer:
7
Step-by-step explanation:
when multiplying powers with the same base, add the powers
Answer:
a²×a⁵
a²⁺⁵
a⁷
OAmalOHopeO
The width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer:
Step-by-step explanation:
The percents here make this more tricky than it originally seems to be. We'll make a table and see where it takes us:
original new
length
width
And we'll fill it in according to our rules given. Starting with the original, we are told that the width is twice as long as the length. We don't know the length, so we'll call that L, and if the width is twice that, the width is 2L:
original new
length L
width 2L
Now here's the tricky part. What I'm going to do is fill in the "new" column with the expressions and then we'll simplify them in the next step.
The length is increased by 50%. So we have 100% of the original length and we are adding another 50% to that:
original new
length L 100%L + 50%L
width 2L
The width is decreased by 20%, so we have 100% of 2L and we are subtracting 20% of 2L from that:
original new
length L 100%L + 50%L
width 2L 100%(2L) - 20%(2L)
And now we'll simplify that "new" column:
original new
length L 150%L = 1.5L
width 2L 80%(2L) = 160%L = 1.6L
Now we're ready for the perimeter part. The formula for the perimeter of a rectangle is P = 2L + 2w, so filling in from our "new" column, since 248 is the perimeter given for AFTER the rectangle's length and width are manipulated:
248 = 2(1.5L) + 2(1.6L) and
248 = 3L + 3.2L and
248 = 6.2L so
L = 40 and that means that w = 80 (because in the "original" column, the width is twice the length)
In the diagram below, AB is parallel to ¿o. What is the value of x?
The number of lines of symmetry of an equilateral triangle is _______.
Question 5 options:
A: 4
B: 1
C: 2
D: 3
Answer:
An equilateral triangle has three lines of symmetr
Step-by-step explanation:
letter d
Answer: 3
Step-by-step explanation: i took test
Help me to prove it
Answer:
see explanation
Step-by-step explanation:
Using the identities
cotA = [tex]\frac{1}{tanA}[/tex]
cot²A = cosec²A - 1
tan²A = sec²A - 1
Consider the left side
(cotA + tanA)² ← expand using FOIL
= cot²A + 2cotAtanA + tan²A
= cosec²A - 1 + 2 .[tex]\frac{1}{tanA}[/tex] . tanA + sec²A - 1
= cosec²A - 1 + 2 + sec²A - 1
= sec²A + cosec²A - 2 + 2
= sec²A + cosec²A
= right side, thus proven
