The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?

Question 8 options:

7


14


6


3

Answers

Answer 1

Answer:

C. 6

Step-by-step explanation:

Given

S = n² + nS = 42, n = ?

Substitute and solve for n:

42 = n² + nn² + 2*1/2n + 1/4 = 42.25(n + 0.5)² = 42.25n + 0.5 = √42.25n + 0.5 = 6.5n = 6

Correct option is C

Answer 2

Answer:

C. 6

Step-by-step explanation:


Related Questions


NEED HELP NOW
WILL MARK BRAINLEST

Teisha wants to frame her high school diploma. The frame will have the dimensions shown below. Write an expression to represent
the area of the frame.

a. x2 + 3x + 7
b. x2 + 7x + 10
c. x2 + 7x + 7 d. x2 + 3x + 10

Answers

Answer:

d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

x + 2 * x + 5

x * x = x2

x * 5 = 5x

2 * x = 2x

2 * 5 = 10

x2 + 7x + 10

Toby is trying to show his teacher why the product of two rational numbers is another
rational number. His first steps are shown. Which is the best method Toby could use to
proceed?
L
B

Answers

Using the concept of rational numbers, it is found that the best method Toby could use is a multiplication of fractions, as the product of two fractions(two rational numbers) is always a fraction(rational number).

-------------

A rational number, no matter if an integer, a finite decimal or a repeating decimal can always be represented by a fraction.The product of two fractions will always result in a fraction, as the numerator of the multiplication is the multiplication of the numerator of the factors, and same for the denominator.Thus, since the product of two fractions is always a fraction, the product of two rational numbers is always a rational number.

A similar problem is given at https://brainly.com/question/10814303

please help me someone with this problem

Answers

I would help you but the picture is blurry

Progress:
Simplify the expression to a polynomial in standard form:
(3x + 5)(2x2 – 2x – 1)
Answer:
Submit Answer

Answers

    2                                                                                                                                       -6x  -x+15 remove the parennthesies collect like tearms and reoreder like terms then you get your answer

Is (1,3) a solution to this system of equations?
4x+5y=19
x+5y=16

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes!

Step-by-step explanation:

4 + 15 = 19

1 + 15 = 16

hope that helped! i'm not the best at explaining stuff, srry!

Angle A and B are supplementary. I m∠A = 143°, find m∠B
I don't understand the question.

Answers

Answer:

b=37

Step-by-step explanation:

if the angles are supplementary then they will add up to equal 180.

to find b you just subtract 143 from 180 to get 37

Assume that lines that appear to be tangent are tangent. O is the center of the circle. In degrees, what is the value of x?

Answers

9514 1404 393

Answer:

  145

Step-by-step explanation:

In this geometry, the central angle (x°) and the external angle (35°) are supplementary.

  x° = 180° -35°

  x = 145

A,E, and D are collinear. BCDE is a parallelogram. Find m

Answers

Answer:

B. 29º

Step-by-step explanation:

Given that BCDE is a parallelogram, then [tex]BE \parallel CD[/tex] and A, E and D are collinear. Then, angle E inside triangle ABE and angle D inside parallelogram BCDE have the same measure. That is:

[tex]\angle D = \angle E = 51^{\circ}[/tex] (1)

In addition, the sum of internal angles in triangles equals 180º, which implies that:

[tex]\angle A + \angle B + \angle E = 180^{\circ}[/tex] (2)

If we know that  [tex]\angle B = 100^{\circ}[/tex] and [tex]\angle E = 51^{\circ}[/tex], then [tex]\angle A[/tex] is:

[tex]\angle A = 180^{\circ}-\angle B - \angle E[/tex]

[tex]\angle A = 180^{\circ}-100^{\circ}-51^{\circ}[/tex]

[tex]\angle A = 29^{\circ}[/tex]

Hence, correct answer is B.

Answer:

The answer would be be 29 degrees

Step-by-step explanation:

tim bought all of the 2 3 over 4 lb packages for a party


How many pounds of meat fid tim buy?

Answers

Answer: he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)

Step-by-step explanation:

We know that Tim bought all of the two 3/4 lb packages for a party.

Then he bought 2 packages. Such that each package has  3/4 lb meat.

Then the total amount of meat that Tim has is equal to 2 times the amount of meat in each package, this is:

Total meat = 2*(3/4 lb) = (6/4 lb)

and we can write 6 = 4 + 2

then:

Total meat =  6/4  lb = (4 + 2)/4  lb = (4/4 + 2/4) lb = (1 + 1/2) lb

So he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)

1. What do you remember about the slope of a line? 2. A ramp may not be steeper than 1:12. Draw a right triangle whose "rise" is 1 unit, and whose "run" is 12 units. 3. Set up a trig ratio and use it to solve for the maximum angle of elevation of the ramp. Round to the nearest hundred 4. The height of the door on your restaurant is 9.5 inches from the ground. Using the maximum angle of elevation possi what would the length of the ramp be (x)? What would the horizontal distance be (y)

Answers

I remember every thing it was so good j set ramp

Write an explicit formula for
An
, the nth
term of the sequence 36, 46, 56, ....

Answers

Answer:

[tex]a_{n}[/tex] = 10n + 26

Step-by-step explanation:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

In your problem d = 46 - 36 = 10   and [tex]a_{1} = 36[/tex]

So,  [tex]a_{n}[/tex] = 36 + (n - 1)10

           = 36 + 10n - 10

           = 10n + 26


state and
prove angle
angle
sum property of triangle​

Answers

Answer:

(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥

Step-by-step explanation:

(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

We need to prove angle sum property.

What is angle sum property?

The sum of interior angles of a triangle is 180 degrees

Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a line PQ parallel to the side BC of the given triangle

Since PQ is a straight line, it can be concluded that:

∠PAB + ∠BAC + ∠QAC = 180°  ………(1)

Since PQ||BC and AB, AC are transversals,

Therefore, ∠QAC = ∠ACB (a pair of alternate angle)

Also, ∠PAB = ∠CBA (a pair of alternate angle)

Substituting the value of ∠QAC and ∠PAB in equation (1),

∠ACB + ∠BAC + ∠CBA= 180°

Thus, the sum of the interior angles of a triangle is 180°.

To learn more about angle sum property click here: https://brainly.com/question/21364160

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Solve the system by substitution.
-4x-y=1
-9x+9=y

Answers

Answer:Add  

9

to both sides of the equation.

x

=

y

+

9

x

+

y

=

6

Replace all occurrences of  

x

with  

y

+

9

in each equation.

Tap for more steps...

2

y

+

9

=

6

x

=

y

+

9

Solve for  

y

in the first equation.

Tap for more steps...

y

=

3

2

x

=

y

+

9

Replace all occurrences of  

y

with  

3

2

in each equation.

Tap for more steps...

x

=

15

2

y

=

3

2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(

15

2

,

3

2

)

The result can be shown in multiple forms.

Point Form:

(

15

2

,

3

2

)

Equation Form:

x

=

15

2

,

y

=

3

2

 

image of graph

Step-by-step explanation:

T = 4v + 3
(a)

(b) Make V the subject of the formula T = 4v + 3

Answers

T - 3 = 4v
(T - 3) / 4 = v

The equation T = 4v + 3 is solved for v will be written as v = (T - 3) / 4.

What is the solution to the equation?

The possible value of the variables that satisfy the equation which is known as the solution of the equation.

The equation is written below.

T = 4v + 3

The degree of the equation is one. Then the equation is given a linear equation.

Solve the equation for v, then we have

T = 4v + 3

Subtract 3 from both sides, then we have

T - 3 = 4v

Divide the equation by 4 into both sides, then we have

v = (T - 3) / 4

The equation T = 4v + 3 is solved for v will be written as v = (T - 3) / 4.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

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3. Write the function g(x) = -x2 - 4x in vertex form, using decimals as necessary.

Answers

Answer:

The vertex form is [tex]y=-(x+2)^2+4[/tex]

Step-by-step explanation:

What is 817x45 in standerd algorithm pls help

Answers

Answer:

Step-by-step explanation:

  817

x 45

_______

+   4085

+  32680

__________

36,765

Answer:

36,765

Step-by-step explanation:

Attched below

Determine if the sequence if geometric. If yes, identify the common ratio and give the next three terms. If
no, type none for the common ratio and the next three terms.
{2700,900,300,...}

Answers

Answer:

yes, it's a geometric sequence with common ratio of 1/3

33 1/3, 11 1/9, 3 19/27

Step-by-step explanation:

2700, 900, 300, 100, 33 1/3, 11 1/9, 3 19/27

Please help right now

Answers

Answer:

C

Step-by-step explanation:

the negative sign in -0.3 implies that it is below and the only answer choice with the word below is

C: New orleans is 0.3m below sea level

The answer is C I did this on my test

What is an equation of the line that passes through the points (5,4) and (2,-2)?

Answers

maybe this will help

https://socratic.org/questions/what-is-the-equation-of-the-line-that-passes-through-2-2-and-5-4#475768

Graph the line with the given slope that passes through the given point
Slope=2;(-1,4)

Answers

Answer:

         B

Step-by-step explanation:

Point (-1, 4) it's point where x-coordinate is -1 and y-coordinate is 4

Graph in B is the only one passing through (-1, 4)

The equation of the line is y = 2x + 6. The graph is represented by B.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the slope of the line is 2 and the point through which it is passing is (-1,4).

The equation of the line will be calculated as,

y = mx + c

y = 2x + c

4 = -2 + c

c = 6

The equation will be written as,

y =2x + 6

The graph of the line is attached with the answer below.

To know more about an equation of the line follow

https://brainly.com/question/18831322

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Pls check my answers i don’t know if they’re correct

Answers

Answer:

Yes, you have it right

Step-by-step explanation:

The ratio is 2-1, with the length being 1, and the width being 2. The width is always going to be 2 times the amount of length. And you have done it right here. Nice job!

Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm. Round to the nearest hundredth.

Answers

Answer:

197.82

Step-by-step explanation:

The formula for cylinder volume is

π * r^2 * h

r is radius h is height

3.14 * 3^2*7

3.14 * 9 * 7

28.26*7

197.82

The volume is 197.82

I NEED HELL PLZ I don’t get it i need to turn it soon.

Answers

60% of the class is blonde

1why2

2does3

3your4

4teacher5

5use6

6googl6e7

7forms?8

Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?

Let K = Kitten and C = Callie the Cat

A) K= 1/2C-3
K+C=18

B) K= 1/2C+3
K-C=18

C) K= 1/2C+3
K= -C+18

D) K= 1/2C-3
C - K=18

Answers

A) K=1/2C-3
K+C=18

Hope this helps! Have a great day :)

Answer:

A) K=1/2C-3

K+C=18

Step-by-step explanation:

a cylinder has height of 12 and a diameter of 10 find the volome

Answers

Answer:

942.48

Step-by-step explanation:

V=πr^2h=π·5^2·12≈942.4778

Find the area of this shape? HELP Radius is 2 area is 3.14​

Answers

You shouldn’t need radius but the area is 46

you make the thing hanging of a square and the other big shape a triangle then 2x3 is 6 and 8x10 decided by 2 is 40 and 40+6 is 46

Answer:

Step-by-step explanation

what I learned was to separate the two shapes.

So the rectangle and the triangle will be multiplied separately.

We will make the 10 an 8 because of the 2 on top of the rectangle.

5*8= 40 because the shape is a triangle we divide the area of it by 2, and that would make 20. The triangles area is 20.

Now the rectangle: 2*3=6    

Add both of those numbers and the answer is 26 ft.

can soemone help meee i give brainlistt

Answers

Answer:

140.74

Step-by-step explanation:

1.area of right triangle

1/2*b*h=1/2*20*18=180

2.area of semi circle

1/2*pi*r^2=1/2*pi*5^2=39.26

r= d/2

180-39.26=140.74

first you find the area of the half circle cut out. area of circle is pi*radius² ; therefore the area of half of the circle is that equation divided by two. you get around 39 for the area of the half circle or 25pi/2. then find the area of the triange which is 1/2(base)(height) or 1/2(18)(20)=180

then do 180-(25pi/2) which equals to about 140.73009

How do I find these equations using substitution y=-3x+5 and 5x-4y=-3 ?

Answers

Answer:

x=1

Step-by-step explanation:

you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.

5x-4(-3x+5)=-3

5x+12x-20=-3

17x-20=-3

17x=17

x=1

Answer:

(1,2)

Step-by-step explanation:

1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:

[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]

2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:

[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]

So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).

A rectangle has a height of xxx and a width of 7x-47x−47, x, minus, 4.

Answers

Answer:

ur mom is beatiful

Step-by-step explanatihah

In a beanbag-toss game, players earn 2 points for each beanbag that lands on the game board and 5 points for each beanbag that lands in the hole. Roopesh wants to know his total score after 4 beanbags.
Which expressions show the points Roopesh earns if 2 beanbags land on the board? Choose ALL that apply.
Which expressions show the points Roopesh earns if 2 beanbags land in the hole? Choose ALL that apply.
Pls help me with the 2nd 1.​

Answers

Answer:

2•2 and 2+2

Step-by-step explanation:

u need to say how many beanbags if this is a probability type question

- if you have 2 bean bags and 2 point for each bean bad it u have to multiply of add

hello i need help pls what is the answer to the 2nd quest on iuready roopesh

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