Answer:
Step-by-step explanation:
O A. y= -2x - 1
O B. y= -2x + 1
O C. y= 1/2x + 1
O D. y= 2x - 1
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.
Answer:
The 45th term is equal to -209.
Step-by-step explanation:
I got stuck on this question for six attempts. Therefore I started trying other methods. I started with a10=1 and then subtracted 6 to get a11=-5. I continued this process until I reached a45=-209
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The 45th term for the arithmetic sequence is -209.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given that the 10th term of the arithmetic series is 1, while the common difference of the arithmetic series is -6. Therefore, 10th term of the series can also be written as,
aₙ = a₁+(n-1)d
1 = a₁+(10-1)(-6)
1 = a₁ + (9)(-6)
1 = a₁ - 54
a₁ = 55
Now, the 45th term for the arithmetic sequence is,
aₙ = a₁ + (n-1)d
a₄₅ = 55 + (45-1)(-6)
a₄₅ = 55 - 264
a₄₅ = -209
Hence, the 45th term for the arithmetic sequence is -209.
Learn more about Arithmetic Sequence here:
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simplest radical form:
4.582575695
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whats the sum of the interior angle measures of a 5-gon.
what is the percent 12 of 30
40%
We get: 40% of 30 is 12.
Is this true?
Yes! 40% of 30 = (0.4)(30) = 12
Please help 8th-grade math question
The price of the set of dishes is $190.
You are getting 90% off.
$190 x 90% = $171
$190 - $171 = $19
Bryant will pay $19 for the set of dishes.
-HannahGobin
Please can someone explain place value to me. I failed in my test dunno how tho cause I studied place value in year 3 lol
Answer:
Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.
Step-by-step explanation:
does this help?
Solve the system.
x + y - 3z = -20
-3y + 2z = 5
z = 4
Enter your answer as an ordered triple.
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Step-by-step explanation:
Subtract 2z2z from both sides of the equation.
x−2y+z=1x-2y+z=1
y=5−2zy=5-2z
x+y+3z=8x+y+3z=8
Replace all occurrences of yy with 5−2z5-2z in each equation.
x−2(5−2z)+z=1x-2(5-2z)+z=1
y=5−2zy=5-2z
x+5−2z+3z=8x+5-2z+3z=8
Simplify each equation.
x−10+5z=1x-10+5z=1
y=5−2zy=5-2z
x+5+z=8x+5+z=8
Move all terms not containing xx to the right side of the equation.
x=11−5zx=11-5z
y=5−2zy=5-2z
x+5+z=8x+5+z=8
Replace all occurrences of xx in x+5+z=8x+5+z=8 with 11−5z11-5z.
x=11−5zx=11-5z
y=5−2zy=5-2z
(11−5z)+5+z=8(11-5z)+5+z=8
Simplify (11−5z)+5+z(11-5z)+5+z.
x=11−5zx=11-5z
y=5−2zy=5-2z
−4z+16
Answer: (-9, 1, 4)
Step-by-step explanation:
its right on acellus
The graphs below have the same shape what is the equation of the blue graph
Answer: g(x) = (x-2)^2 + 1. Choice C
===========================================================
Explanation:
The graphs have the same shape, which means they have the same 'a' value.
In this case, a = 1.
The vertex of the red graph is (0,0).
The vertex of the blue parabola is (2, 1)
The red curve has been shifted 2 units to the right and 1 unit up.
Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.
Plug a = 1, h = 2 and k = 1 to get...
y = a(x-h)^2 + k
y = 1(x-2)^2 + 1
g(x) = (x-2)^2 + 1
Answer:
C.
Step-by-step explanation:
Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).
Help for Math in attachment pls for final
In the figure below, what is the measure of AB?
Answer:
The measure of AB is 29
Step-by-step explanation:
If a line is drawn from a vertex of a triangle perpendicular to the opposite side to this vertex and bisects it, then the sides joining this vertex are equal in lengths
In Δ ABD
∵ Line AC ⊥ side BD
∵ BC = BD = 15
∴ C is the mid-point of The side BD
∴ Line AC is a perpendicular bisector of side BD
→ By using the rule above
∴ AB = AD
∵ AB = 5x - 11
∵ AD = 3x + 5
→ Equate them
∴ 5x - 11 = 3x + 5
→ Add 11 to both sides
∵ 5x - 11 + 11 = 3x + 5 + 11
∴ 5x = 3x + 16
→ Subtract 3x from both sides
∵ 5x - 3x = 3x - 3x + 16
∴ 2x = 16
→ Divide both sides by 2
∴ x = 8
→ Substitute the value x in the expression of side AB
∵ AB = 5(8) - 11
∴ AB = 40 - 11
∴ AB = 29
∴ The measure of AB is 29
Write a line function with a slope of 5 that passes through the point of (2,1)
Answer: 5x - 9
Hope this helps :)
Answer:the other one is wrong
Step-by-step explanation:5x - 9is wrong
I was at a farm this farm raises cows and chickens I manage to count the number of heads and legs on the form I counted a total of 26 heads and a total of 62 legs can you figure out the number of cows and chickens the farmer has
Answer:
5 cows, 21 chicken
Step-by-step explanation:
5 cows; 20legs
21chickens; 42legs
26heads; 62legs
Dwayne ordered a set of purple and green pins. He received 35 pins in all. 28 of the pins were purple. What percentage of the pins were purple?
Answer:
28/35 = 4/5
Step-by-step explanation:
28 divided by 7 = 4
35 divided by 7 = 5
Write the equation of the line given the slope and the point that it passes through.
m = 2/7
point = (1, 2)
Answer:
slope (m)= 2/7
X1= 1
y1= 2
formula from equation of the line:
1. Y2 - Y1/ X2 - X1 ( if you know 2 point )
2. y - y1 = m × ( x - x1 ) (if you know the slope and 1 point )
3. mx + c = y ( if you know the slope and the y-axis )
because the known gradient and 1 point, then use the formula number 2.
let's get into the formula:
y - y1= m × (x -x1)
y - 2 = 2/7 × ( x - 1 )
y - 2 = 2/7x - 2/7
y= 2/7x - 2/7 + 2
y = 2/7x + 12/7
juan has $1.30 in dimes and nickels he has a total of 15 coins how many dimes does juan have
Answer:
11 dimes and 4 nickles
Step-by-step explanation:
Answer:
11 dimes equals 1.10 and 4 nickels equals 20 cents
Step-by-step explanation:
What is the input for which g(x)=3
x=
Can someone help please
Answer:
C
____________
Step-by-step explanation:
4-3
6-5
8-6
10-4
13-3
Find the measure of the numbered angle.
m∠3 =
Answer:
<3 = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180
<1 + 40 + 90 = 180
<1 + 130 = 180
<1 = 50
<1 and <3 are vertical angles and vertical angles are equal
which statements are true check all that apply please help
Answer:
a c and d
Step-by-step explanation:
lmk if you need work
and remember that when it is negative, the value that is closer to 0 is greater
A kitchen sink holds 24 gallons of water. A full sink drains at 3 gallons per minute. Which of the following tables best represents the situation?
(The pictures are as follows!)
Answer:b
we start with 24 but as we get to the first minute we have already lost 3 gallons and so on.
Which is the simplified from of p0
2+2
CORECT ANSWER
It is not easy so don’t think it is 2+2
Answer:
2 + 2 = fish
Have a great day :}
I need this done ASAP! I will give brainliest to the answer with the work shown for all problems. Or whichever is done the fastest with the work shown for all problems. I WILL REPORT ANY ANSWERS THAT DO NOT ANSWER MY QUESTION!
Write an equation in point slope form for each line.
(1,6) and (2,3)
Question
How do you write the equation of a line in point slope form and slope intercept form given point (6, -3) and has a slope of 1/2?
Answer · 0 votes
Point-Slope Form is y+3=12(x−6) Slope-Intercept Form is y=12x−6 Explanation: .
using y=mx+b find the slope for
x + 2y = -8
Answer:
y=1/2x-4
Step-by-step explanation:
y = –A system of equations. y equals negative StartFraction one-half EndFraction x plus 4. x plus 2 y equals negative 8.x + 4 x + 2y = –8 How many solutions does this linear system have?
Answer:
A
Step-by-step explanation: Took a quiz
PLEASE HELP ME ASAP IM CONFUSED!
Answer:
1. Given
2. Definition of a midpoint
3. Given (read below)
4. Veritcal Angles (I'm assuming since they are not complementary/add up to 90 degrees)
5. SAS (only one that makes the most sense)
Sorry, it's been a while since I did proofs, hope this helped! :)
Step-by-step explanation:
For #3 a given statement should typically be together so this is strange.
solve the literal equation for f: - 3f = g for f
A.f=g/-3
B.g+3=f
C.f=g-3
Answer:
i think its a
Step-by-step explanation:
Write equation line that passes through (2,2) and is parallel to line y=3x+9
An equation of parallel line is y=___
Answer:
Step-by-step explanation:
The slope is in the given line. It is the number in front of the x which is 3.
So far what you have is
y = 3x + b
Now use the point to find b
x = 2
y = 2
Substitute
y = 3*2 + b
2 = 6 + b
2 - 6 = b
b = - 4
y = 3x - 4
What’s the slope of this equation
Answer:
it is 4
Step-by-step explanation:
the slope is always the number in front of the X