Answer:
[tex]Sum = (k+1)(k+2)[/tex]
Step-by-step explanation:
Given
k + 1 even numbers
Required
Their sum
This question will be solved using the sum of nth term of an AP
[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]
Where
a = the first even number
[tex]a = 2[/tex]
n = number of terms
[tex]n =k +1[/tex]
d = difference between consecutive even numbers
[tex]d = 2[/tex]
So, the expression becomes:
[tex]Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)[/tex]
[tex]Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)[/tex]
[tex]Sum = \frac{k+1}{2}(4 + 2k)[/tex]
[tex]Sum = \frac{(k+1)(4 + 2k)}{2}[/tex]
Factorize 4 + 2k
[tex]Sum = \frac{(k+1)*2*(2 + k)}{2}[/tex]
[tex]Sum = (k+1)*(2 + k)[/tex]
[tex]Sum = (k+1)*(k+2)[/tex]
[tex]Sum = (k+1)(k+2)[/tex]
The following system of equations intersects at one point. What is the y-coordinate of this point? y = -x-1 3x - 2y = 1
Answer:
-3
Step-by-step explanation:
If AABC = ADEC,
ZB = 2x, ZC = 48°, and ZD = 740
A
D
00
E
x = [?]
Answer:
x=29
Step-by-step explanation:
i believe this is the most recent question to which you requested an answer. Well here you go.
The angle at D equal to the angle at A
If so,the
2x+48+74=180
2x+122°=180°
2x=180°-122°
2x=58°
x=58/2=29
A slow baot to China travels at a constant speed of 17.25 miles per hour for 200 hours. How far was the voyage
Distance = rate x time
Distance = 17.25 x 200
Distance = 3,450 miles
Answer: the answer is 3450
Step-by-step explanation:
Please anyone answer it’s a time limit please answer please please help anyone please.
Answer:
(-3,-8)
Step-by-step explanation:
I would explain but that would take too much time.
Answer:
3-8
Step-by-step explanation:
1) 15 = 2W - 5
2) 24 = 2x - 9
9514 1404 393
Answer:
1) W = 10
2) x = 33/2
Step-by-step explanation:
These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.
__
1) 15 = 2W -5
20 = 2W . . . . . add +5
10 = W . . . . . . . divide by 2
__
2) 24 = 2x -9
33 = 2x . . . . . add +9
33/2 = x . . . . divide by 2
_____
As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.
HELP PLEASE ASAPPP I WILL GIVE BRAINLIEST
Answer:
Corresponding angles converse theorem
Step-by-step explanation:
If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.
Answer:
Corresponding angles converse theorem
Step-by-step explanation:
If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.
-3.6h = -10.8
what's h
Answer: 3
Step-by-step explanation:
-2x-8=-6x÷4 please show me the steps
what is the lowest term of 35/63
Answer:
5/9
Step-by-step explanation:
20 divided 740
with remainder
and don't use calculator it wont work
Answer:
the answer it is 740 R 0
Step-by-step explanation:
0 3 7 this is the answer
__________________
2 0 7 4 0
− 0
____
7 4
− 6 0
_______
1 4 0
− 1 4 0
_____________
0
•ω• Hewo fren!
☆☆●◉✿Answer:✿◉●☆☆
37 with no remainder.
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
The reason it doesn’t show on the calculator is because it has no remainder (but it is true that some calculators don’t show remainders...)
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
Unit 7 homework 1: Gina Wilson answer key
Does any one have the anwerkey?
The values for x are:
question 15 ⇒x=8
question 16⇒x=19
question 17⇒x=14
Here you should apply your knowledge about regular polygons. The question asks the values of x that is a variable for some interior angles. Then, you will find x from the sum of interior angles of each regular polygon.
Sum of Interior Angles of Regular PolygonThere is a formula that relates number of sides polygon with its sum of interior angles. See below.
S=(n-2)*180°
S=sum of interior angles of regular polygon.
n=number of sides of regular polygon.
Exercise 15First, you should find the value for the sum of interior angles. Here, the regular polygon has 4 sides. Then,
S=(n-2)*180°
S=(4-2)*180°
S=2*180°=360°
Note that only 3 interior angles are shown in the figure. Nonetheless, the question gives an external angle (71°). Thus, the internal angle will be: 180-71=109°. This is because the interior and exterior angles are supplementary.
Next step, sum of interior angles for finding x
[tex]10x+6+13x-2+109+8x-1=360\\ \\ 31x=360-112\\ \\ 31x=248\\ \\ x=\frac{248}{31} =8[/tex]
x=8
Exercise 16
First, you should find the value for the sum of interior angles. Here, the regular polygon has 6 sides. Then,
S=(n-2)*180°
S=(6-2)*180°
S=4*180°=720°
Next step, sum of interior angles for finding x.
[tex]90+9x-19+7x+3+111+5x+8+128=720\\ \\ 21x=720-321\\ \\ 21x=399\\ \\ x=\frac{399}{21} =19[/tex]
x=19
Exercise 17
First, you should find the value for the sum of interior angles. Here, the regular polygon has 5 sides. Then,
S=(n-2)*180°
S=(5-2)*180°
S=3*180°=540°
The image of the question shows the sides are congruent, consequently, the angles are equal.
Next step, sum of interior angles for finding x.
[tex]9x-18+9x-18+9x-18+9x-18+9x-18=540\\ \\ 45x=540+90\\ \\ 45x=630\\ \\ x=\frac{630}{45} =14[/tex]
x=14
Read more about sum of interior angles here:
https://brainly.com/question/1592456
Please help i dont get this!
Answer:
The other one is -8 this is because the point on the graph is multiplied by 2
Step-by-step explanation:
Find the slope of the line that passes through each pair of points. A(2, 5) B(3, 1)
Brainliest question
Answer:
y=-4/1x-13
Step-by-step explanation:
5-1/2-3
5-1 ( 4)
2-3 (-1)
y=-4/1x+b
5=-4/1(2)+b
5=-8+b
b=-13
y=-4/1x-13
Hope this helped, have a Wonderful Day!!
Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 4/3?
Answer:
awnser my question
Step-by-step explanation:
nkkeneneii3
What is 2x + 2 when x = 0? A 0 B 2 C 20 D 22
Answer:
B. 2
Step-by-step explanation:
Step 1:
2x + 2 Equation
Step 2:
2 ( 0 ) + 2 Input x value
Step 3:
0 + 2 Multiply
Answer:
B. 2
Hope This Helps :)
Answer:
B
Step-by-step explanation:
Patricia bought three dresses that each cost the same amount and a pair of jeans that cost $45 the items she brought cost a total of $150 before tax was added
Answer:$35 for each dress
Step-by-step explanation:
150-45=105
105/3=35
$35 each dress
Someone help ASAP need answer
Write the following number in word form: 735.009Immersive Reader
(2 Points)
Answer:
seven-hundred thirty five and nine thousandths
Step-by-step explanation:
Find the slope-intercept equation of the line that
passes through (0, 2) and has a slope of 1/2
Answer:
1/2
Step-by-step explanation:
GIVING BRAINLIEST AFTER TWO ANSWERS ARE GIVEN!!! WILL CHOOSE THE BEST ONE!!! ( the answer is either yes or no )
Answer:
No
Step-by-step explanation:
The first triangle slope is 12 [tex]\sqrt{37}[/tex] while the second one is 24[tex]\sqrt{37}[/tex] . In order to be on the same line both slopes have to be the same
Given 3m+6n-6 when m=4 and n=3. I need help with this
Answer: 24
Step-by-step explanation:
Since we are given the value for m and n, we can plug them in and solve the expression.
3(4)+6(3)-6 [multiply]
12+18-6 [add]
30-6 [subtract]
24
Now, we know the value of the expression is 24.
There are 57 balls in a bucket. The balls are numbered from 1 to 57. One ballis randomly selected from the bucket.
What is the probability that ball #54 is chosen?
Answer:
1/57
Step-by-step explanation:
aye wassup. what do yall want for christmas?
Answer:
Mafia Ii definitive edition for my ps4 and thats it lol ;p
Step-by-step explanation:
Answer:
I want a burrito plushie. Which I already got lol
Step-by-step explanation:
Please help faster all these three correct yes or no answer only if you know or I will report you I would like an expert or above to clarify for me thank you! Brainlist
Answer:
Yes, they are all correct.
what is the value of y?
9y=28–5y
Answer:
y=2
Step-by-step explanation:
add the -5y over and you get 14y=28
then divide by 14 on both sides and you get y=2
Adriana can read 6 pages in 10 minutes. At this rate, how many pages can
she read in 25 minutes *
Your answer
Answer:
23 pages.
Step-by-step explanation:
10=6 10+10=20 half of 6=3 20+3=23
What is the domain of f?
Chose 1 answer:
Which is an equation?
A) 6 - x
B) 3/4 x + 2
C) 12(7 - 3)
D) 6x - 6y - 6z
Answer:
12(7 - 3)
Step-by-step explanation:
All the other do not equal anything.
Write 2 4/7 as an improper fraction.
Answer:
18/7
Step-by-step explanation:
Convert the mixed number 247 2 4 7 into an improper fraction first by multiplying the denominator (7) by the whole number part (2) and add the numerator (4) to get the new numerator. Place the new numerator (18) over the old denominator (7) .
You have $100 in your savings account and plan to deposit $20 each month. Write a linear equation to model the situation.
y= 100x + 20
y= 80x
y= 20x + 100
y= 120x