Answer: The first 6 terms are = 8, 10, 12,14,16,18
Step-by-step explanation:
The NTH term of an Arithmetic Sequence is given as
an = a1 + (n - 1 ) d
where a1 = First term given as 8 and
d= common difference given as 2
Therefore We have that
the first term
an = a1 + (n - 1 ) d = 8+(1-1) 2
a1= 8
second term=
an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2
= 8+ 2(1) = 10
3rd term
an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2
= 8+ 2(2)= 8 + 4=12
4th term
an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2
= 8+ 2(3)= 8+6=14
5th term
an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2
= 8+ 2(4)=8+ 8=16
6th term
an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2
= 8+ 2(5)=8 +10 =18
Which of these numbers lines is the X-axis?
Answer:
the one going this way -------------------------- not up and down
Step-by-step explanation:
Answer:
Step-by-step explanation:
the one on the right
What is the relationship between multiplying and factoring? You multiply numbers or expressions to produce a (select). You factor a product into the numbers or (select) that were multiplied to produce it.
Answer:
Step-by-step explanation:
1
Solve for x. -3 < x - 10
Answer:
7 < x
Step-by-step explanation:
-3 < x - 10
+10 +10
------------------
7 < x
Answer:
x > 7
Step-by-step explanation:
-3 < x -10
=> x - 10 > -3
=> x > 10 - 3
=> x > 7
Find the value of x in the following figure.
(a)
60°
(2x + 40°
R
Solve for X and Y
Sorry been having trouble understanding this
Answer:
[tex]x=16.4\ y=13.7[/tex]
Step-by-step explanation:
[tex][Kindly\ refer\ the\ attachment.]\\We\ are\ given\ that,\\\triangle ABC\ is\ a\ right-triangle\ and\ has\ it's\ legs\ x\ and\ z.\\It's\ altitude\ CD\ separates\ it\ into\ two\ triangles:\\\triangle BCD\ and\ \triangle ADC,\ both\ of\ which\ are\ right-triangles.\\Now,\\The\ Pythagoras\ Theorem\ tells\ us\ that:\\'The\ sum\ of\ squares\ of\ both\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\\ hypotenuse'.\\Here,\\Lets\ consider\ three\ triangles\ separately.\\[/tex]
[tex]In\ \triangle ADC\ right\ angle\ is\ at\ \angle ADC.\\Hence,\\AC\ is\ the\ hypotenuse, and\ AD\ and\ DC\ are\ it's\ legs.\\Hence,\\AD^2+DC^2=AC^2\\Or,\\9^2+y^2=x^2\\\\Lets\ take\ the\ above\ equation\ as\ E_1.[/tex]
[tex]In\ \triangle BDC\ right\ angle\ is\ at\ \angle BDC.\\Hence,\\BC\ is\ the\ hypotenuse, and\ DC\ and\ DB\ are\ it's\ legs.\\Hence,\\DC^2+DB^2=BC^2\\Or,\\21^2+y^2=z^2\\Lets\ take\ the\ above\ equation\ as\ E_2.[/tex]
[tex]Now,\\In\ whole\ \triangle ACB\ right\ angle\ is\ at\ \angle ACB.\\Hence,\\AB\ is\ the\ hypotenuse, and\ AC\ and\ BC\ are\ it's\ legs.\\Hence,\\AC^2+BC^2=AB^2\\Or,\\x^2+z^2=(21+9)^2=30^2\\Lets\ take\ the\ above\ equation\ as\ E_3.[/tex]
[tex]Lets\ now\ gather\ the\ three\ equations:\\9^2+y^2=x^2\\21^2+y^2=z^2\\x^2+z^2=30^2\\Now,\\Lets\ pair\ and\ add\ E_1\ and\ E_2.\\Hence,\\(9^2+y^2)+(21^2+y^2)=(x^2)+(z^2)\\Hence,\\81+y^2+441+y^2=x^2+z^2\\Hence,\\2y^2+522=x^2+z^2\\Considering\ E_3,\\We\ already\ know\ that,\\x^2+z^2=30^2\\Hence,\\2y^2+522=30^2\\Hence,\\2y^2+522=900\\2y^2=900-522=378\\Hence,\\y^2=\frac{378}{2}=189\\Hence,\\y=\sqrt{189}=13.7\\[/tex]
[tex]Plugging\ in\ y=13.7\ in\ E_1,\\9^2+(13.7)^2=x^2\\81+189=x^2\\x^2=270\\x=\sqrt{270}=16.4[/tex]
You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?
Answer:
30 that singular tickets for each friend and if your asking for total it would be 120. :)
Step-by-step explanation:
They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)
hope this helped
A soccer goal, as shows below, is composed of a pair of 8foot upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal. A soccer ball is positioned directly in front of the right goal post. If the ground distance from the ball to the right goal is 14ft, what is the ground distance from the ball to the left goal post?
Answer:
The distance from the ball to the left post is 50 feet.
Step-by-step explanation:
Since a soccer goal is composed of a pair of 8 ft upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal, and a soccer ball is positioned directly in front of the right goal post at a distance of 14ft, to To determine what is the ground distance from the ball to the left goal post, the Pythagorean theorem must be applied through the following calculation:
A ^ 2 = B ^ 2 + C ^ 2
A ^ 2 = 14 ^ 2 + 48 ^ 2
A ^ 2 = 196 + 2,304
A = √2500
A = 50
Thus, the distance from the ball to the left post is 50 feet.
i will mark brainliest how do i solve for 5+3x<50?
Answer:
x<15
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x+5<50
Step 2: Subtract 5 from both sides.
3x+5−5<50−5
3x<45
Step 3: Divide both sides by 3.
3x /3 < 45 /3
There is one third of a pie shared equally between 5 children. How much of the pie does each child receive? one ninth pie one fifteenth pie one eighteenth pie one twentieth pie
Answer:
Each of the 5 children receive one fifteenth pie
Step-by-step explanation:
Given:
One third of a pie shared equally between 5 children.
To find:
Amount of the pie with each of the 5 children.
Solution:
Number of children = 5
Also, one third of a pie shared equally between 5 children.
So,
Amount of the pie with each of the 5 children [tex]=\frac{\frac{1}{3} }{5}=[/tex] [tex]\frac{1}{15}[/tex]
Hence, each of the 5 children receive one fifteenth pie.
first we need to ask our self the question
Question: There is one third of a pie shared equally between 5 children. How much of the pie does each child receive?
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next we need to do the math. 1/3 divided by 5
i recommend turning the fractions into decimal points and then dividing them. after doing that we have the answer 0.067. but that is not a option. so turn it into a fraction! and we get 1/15.
__________________________________________________________
extra note: thank you for reading my answer! if this helps you can say thanks by clicking the heart. you can also rate it by clicking a star.
click down there to get help from a tutor
__________________________________________________________
HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government
The answer is the first one . A
please solve m+2=_1
Answer:
m=3 or m=1
since m+2=_1
therefore m=2+1 or m=2-1
m=3 or m=1
Help?... i really really need help...
Answer:
Bro its easssssssssssssssssssssssssssssssy
Step-by-step explanation:
you must do the rule of threee.
Solve 3(3×2) in a rectangular array
Answer: 18
Step-by-step explanation:
3(3)(2)
=(3)(6)
=18
In exercises 27-30, three vertices of DEFG are given. Find the coordinates of the remaining vertices: D(-2,-4)
Answer:
[tex]E =[/tex] [tex](-3,3)[/tex]
Step-by-step explanation:
The question has missing parameters.
The (missing) given coordinates are:
[tex]D(x_1,y_1) = (-2,-4)[/tex]
[tex]F(x_3,y_3) = (0,7)[/tex]
[tex]G(x_3,y_4) = (1,0)[/tex]
Required
Find the coordinates of [tex]E(x_2,y_2)[/tex]
To do this, we make use of mid-point formula which is:
[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]
This gives:
[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
Multiply through by 2
[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]
[tex](-2,3) = (x_2+1,y_2+0)[/tex]
[tex](-2,3) = (x_2+1,y_2)[/tex]
By comparison:
[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]
So, we have:
[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]
[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]
This gives:
[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]
Hence, the 4th coordinate is: [tex](-3,3)[/tex]
Can somebody pls help me with this??? It’s due at 11:59 pm and I am stuck! Will mark any one who can help me with this as Brainiest!
Answer:
a.
Step-by-step explanation:
A proportional relationship is going to be a straight line that passes through the origin. The only graph that fits that criteria is graph a.
Answer:
a and c
Step-by-step explanation:
both of them go up linear-ly
38. A football pitch measuring 120m by
80m is surrounded by a running track
measuring 15m wide all round. Find
area covered by the running track
Answer:
Area of the running track = 6900 m²
Step-by-step explanation:
Length of a football pitch = 120 m
Width of the football pitch = 80 m
Area of the football pitch (Inner rectangle) = Length × Width
= 120 × 80
= 9600 m²
If a running track (width = 15 m) is built around the football pitch,
Length of the outer rectangle = 120 + 2×(15)
= 120 + 30
= 150 m
Width of the outer rectangle = 80 + 2×(15)
= 110 m
Area of the outer rectangle = 150 × 110
= 16500 m²
Therefore, area of the track around the football pitch = Outer rectangle - Inner rectangle
= 16500 - 9600
= 6900 m²
Area of the running track = 6900 m²
pls help I will mark
Answer:
2x (2 or 2/1)
Step-by-step explanation:
The slope is 2/1, or 2x because the height between any two given intercepting points is two times higher than it is far.
Take for example the intercepting points at (6, 1) and (7, 3). Since slope is rise/run, the slope has risen 2 and 'run' 1. This makes the slope 2/1.
Write your own problem that would give the following answer:
(3a^3r^6)/
(2p^5)
Your problem must: contain 4 different variables (letters), require the use of at least 4 different exponent
properties to simplify, and use at least one number bigger than 12.
Once you come up with your problem write it below, then include the steps showing that it simplifies down
to the given expression. Once finished, write a paragraph explaining your thought process on how you
came up with your problem and which exponent properties are used to simplify it.
Answer:
i don't know but good luck with that
Step-by-step explanation:
sorry
FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!
If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?
Answer:
a = 3
b = 5
c = -8
abc = -120
Step-by-step explanation:
Answer:
-120
Step-by-step explanation:
sorry just looked at the answer below *HAXZ*:)
URGENT PLEASE HELP WILL GIVE BRAINLIEST
Answer:
Slope = 4
Rule: y= 4 x +8
X- intercept when y = 0
X = -2
did it on edjinuty and got it right
Solve for X
2x-10/4 = 3x
X=-10
X=-1
X=2
X=11
Answer:
-5/2
Step-by-step explanation:
2x-10/4=3x
10/4=2x-3x
5/2=-x
x=-5/2
What is the distance of
CD
given that
C (5,-2) and D (-3,8)
Leave your answer as a square root.
Answer:
CD = [tex]\sqrt{164}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(5, - 2) and (x₂, y₂ ) = (D(- 3, 8)
d = [tex]\sqrt{(-3-5)^2+(8+2)^2}[/tex]
= [tex]\sqrt{(-8)^2+10^2}[/tex]
= [tex]\sqrt{64+100}[/tex]
= [tex]\sqrt{164}[/tex]
= 2[tex]\sqrt{41}[/tex] ← in simplest form
As, we have C (5, - 2) and D (- 3, 8), to find CD let's use distance formula :
[tex] \underline{\boxed{\tt{Distance \: between \: two \: points = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}}}}[/tex]
Here,
x₁ = 5x₂ = - 3y₁ = - 2y₂ = 8So, by filling values :
[tex] \sf : \implies CD = \sqrt{(-3 - 5)^{2} + (8 - (-2))^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{(-8)^{2} + (8 +2))^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{64 + (10)^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{64 + 100}[/tex]
[tex] \sf : \implies CD = \sqrt{164}[/tex]
Hence, distance of CD is [tex] \bold{\sf \sqrt{164}.}[/tex]
Sarah has built a scale model of a bridge. The real bridge is 56 ft across and 21 ft wide. Sarah's model is 8 in. across and
2.5 in. wide. Is Sarah's model a true model of the bridge? Explain.
Answer:
Well, there are 12 inches ina foot so let's multiply 56 by 12. Now, divide 672 by 8: 672/8 = 84 So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model. It is not equal, so no, it is not a true scale model.
Step-by-step explanation:
HOPE THIS HELPS!!!
BRAINLIEST PLZ???
Answer:
It is not equal, so no, it is not a true scale model.
Step-by-step explanation:
Well, we need to find the ratio of it and see if both measurements of the 'scale' model are the same. But before we do, take in mind we can't divide 56/8 because 56 needs to be converted into inches.
56 • 12 = 672
divide 672 by 8:
672/8 = 84
So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model
21 • 12 = 252
2.5 • 84 = 210
It is not equal, so no, it is not a true scale model.
The point V(-5, 6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, V′?
Answer:
V'(5, - 6)
Step-by-step explanation:
V(-5, 6)
For a counterclockwise rotation at 180°about the origin ;
The point (a, b) becomes - - - - > (-a, - b)
Therefore,
If ; V(-5, 6) is rotated 180° counterclockwise about the origin, we have ;
V(-5, 6) - - - - > V'(5, - 6)
A triangle has sides that measure 2 units, 5 units, and 5.39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.
39 units2
25 units2
49 units2
12 units2
Answer:
12units²
Step-by-step explanation:
Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,
Perimeter of the triangle = 2 + 5 + 5.39
Perimeter of the triangle = 12.39units
since the circumference is equal to the perimeter of the triangle, hence;
C = 12.39units
C = 2πr
r is the radius of the circle
12.39 = 2(3.14)r
12.39 = 6.28r
r = 12.39/6.28
r = 1.973 units
Get the area
Area = πr²
Area of the circle = 3.14(1.973 )²
Area of the circle = 3.14(3.892)
Area of the circle = 12.22units²
Area of the circle ≈ 12units²
Answer:
D. 12 units2
PLEASE HELP I SUCK AT MATH
Answer:
wouldent that be C?
Step-by-step explanation:
plsssssssssssss helpppppppppppp
Answer:
A. 0
Step-by-step explanation:
3*0 is less than 18
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ASSSSSSAAAAAAAP HELPPPPPPPPPPPPPPPP
Answer:
hablas verja ijueputa mamaverja
Directions: Solve the problem
There are 46 learners in 7-Sampaguita class consisting of 17 boys and 29 girls
Express the ratio of the following
With
Solution
Answer:
29:17
17:46
29:46
17:29
Step-by-step explanation:
In this problem, we are given three quantities and all we have to do is to write ratios relating two of them. Since all the numbers are relatively prime, we can no longer simplify the ratios.
Problem 1:
29 girls is to 17 boys
29:17
Problem 2:
17 boys is to 46 learners
17:46
Problem 3:
29 girls is to 46 learners
29:46
Problem 4:
17 boys is to 29 girls
17:29
In these problems, it's usually as simple as putting two or three numbers together and reducing them into simplest form.
(credits to ethananilovnorcio for the answer)
4y + 4 = 2y - 10
can somebody break this down to solve it ? please
Answer:
y=-7
Step-by-step explanation:
first, you want variables on one side, numbers on the other side of the equation.
4y+4=2y-10
*plus ten on both side to get rid of -10*
4y+14=2y
*minus 4y on each side to get rid of 4y*
14=-2y
*divide by -2 on each side to get the value of just one y itself*
y=-7