The 2th term of The A.P is 7 and 9th term is 28, Find The comon difference and The first term.
help me please ​

Answers

Answer 1

Answer:

difference = 3, first term = 4

Step-by-step explanation:

given, a2 = 7

a9 = 28

wkt, a2 = a + d = 7

a9 = a + 8d = 28

- 7d = - 21

therefore d = 3

and wkt, d = a2 - a

a = 7 - 3 = 4

HOPE THIS HELPS


Related Questions

hurry please what is 1+1

Answers

Answer:

2

Step-by-step explanation:

Hope this helps!! Have a blessed day!

Answer:

1 + 1 = 2

Step-by-step explanation:

This is because if you count on your fingers one and one, you get two. I hope this helps!!

The original price of a CD is 9.95 tax is 4% what the answer

Answers

Answer:

$9.55

Step-by-step explanation:

4/100=0.04

0.04x9.95=0.40

9.95-0.40=9.55

4% of 9.95 is 0.398, so you would add about $0.40 to the original amout.

Pls show workings it due in a hour

Answers

Answer:

The inequality describes all possible value of x is 14 < x < 32D

Step-by-step explanation:

In any triangle:

The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sides

In the given figure

ABC is a triangle

∵ AC = 9 and BC = 21

∵ AB is the third side of the triangle

→ By using the rules above

BC - AC < AB < BC + AC

∵ AB = x - 2

→ Substitute their values in the inequality above

21 - 9 < x - 2 < 21 + 9

∴ 12 < x - 2 < 30

→ Add 2 to the 3 terms

∴ 12 + 2 < x - 2 + 2 < 30 + 2

14 < x < 32

The inequality describes all possible value of x is 14 < x < 32

An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal

Answers

Answer:

The angle the aero plane makes with the horizontal is approximately 20.925°

Step-by-step explanation:

The given parameters are;

The distance the aero plane flies = 5.6 km

The elevation to which the aero plane flies = 2 km

The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)

By the trigonometric ratio for the sin of the angle, θ, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]

Therefore, the angle θ the aero plane makes with the horizontal is given as follows;

[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]

The angle the aero plane makes with the horizontal ≈ 20.925°.

the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height

Answers

Answer22:22

Step-by-step explanation:

Draw an area model to solve 774 divided by 3

Answers

201020202020339944949494944

GRAPH MATH PROBLEM PLEASE HELP!!

Answers

Answer: vertex:(3,5)

y intercept: (0,-4)

Step-by-step explanation:

3,5?????????????????????

I would appreciate help with this question ​

Answers

Answer:

the image won't load but i want to help maybe try editing it?

finding side length of the 90-degree angle triangle

Answers

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

[tex]\sqrt{2}[/tex] x = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 4

Please help me this is due today

Answers

Answer:

1. 15 (A)

2. 12 (G)

Step-by-step explanation:

1.  We can make an equation out of this...

    3x+3=48

    x is the age of Geoff which is what we are trying to find out

   

    We have to add 3 to both sides of the equation

    3x+3=48

         -3   -3

     ________

    we end up with 3x=45

     we then have to divide 3 by both sides because its the opposite of                

     multipling

    3x=45

    _____

         3

    we get x=15

2.   We can write a problem statement  

      (2 x 9)-6=?

       multiply 2 and 9 FIRST

     

       18-6=?

       your answer is 12

      Your Welcome! Have a great rest of your day! :)

 

       

     

Which relation is a function?
o {(-4,5), (0, 2), (2,5)}
o {(2,5), (2, 6), (2, 7)}
O {(3, 2), (5, 7), (3,-2)}
O {(4,3), (4,4),(4,5)}

Answers

Answer:

Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!

Step-by-step explanation:

~To find a function look at the x values, if the x values don't repeat then it is a function~

Hello there! The answer is A!

Can somebody answer this?

Answers

Answer:

c. m

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.

Answer:

the slope of the line is m

Step-by-step explanation:

why m?

because as you see in the equation

y=mx+b this means y-b/x = m

as you know slope is ∆y/∆x =m

it is the same as the first one .

What is the value of 2/7 divided by 4/9

Answers

Answer:9

Step-by-step explanation:

dk

Answer:

its 0.642857 pls tell me if im wrong lol srry if it is

Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.97 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?

Answers

Answer:

eish

Step-by-step explanation:

shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry

multiply choice question! which one?

Answers

Step-by-step explanation:

the option that you've chose.

it's the correct answer!

have a good day :)

Answer:

The answer is D. number 4.

Can someone do the math for me (im too lazy). SO I took a test and got a 57 and my grade in that class is a 87.20. How bad is my grade gonna drop? (Im lowkey crying inside lol)

Answers

Answer:

probably somewhere between a 75 or higher depending on if it is a important test and how many questions was on it

Step-by-step explanation:

Can someone please answer quick there’s a math test and I only have one minute to answer this question please it’s my last question.

Answers

Answer:

The equation of the line in slope-intercept form is:

y = 3/5x + 5

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Taking two points

(-5, 2)(5, 8)

Taking two points (-5, 2) and (5, 8) to determine the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)[/tex]

[tex]m=\frac{8-2}{5-\left(-5\right)}[/tex]

Refine

[tex]m=\frac{3}{5}[/tex]

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

now, substituting b = 5 and m = 3/5 in the slope-intercept form of the line equation

y = mx+b

y = 3/5x + 5

Therefore, the equation of the line in slope-intercept form is:

y = 3/5x + 5

PLZ HELP ASAP!!!!
expand the polynomials and simplify:
(1/4m-2n)^2

Answers

Answer:

1/16m^2 -2*1/4m*2n+4n^2

If you want to write it in more simple picture :

1/16m^2 -mn +4n^2

Answer:

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Step-by-step explanation:

Given the polynomial

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

Expanding and simplifying

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

as 1/4 = 4/m, so

[tex]=\left(\frac{m}{4}-2n\right)^2[/tex]

Apply perfect square formula:  [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]=\left(\frac{m}{4}\right)^2-2\cdot \frac{m}{4}\cdot \:2n+\left(2n\right)^2[/tex]

simplifying

[tex]=\frac{m^2}{4^2}-mn+2^2n^2[/tex]

[tex]=\frac{m^2}{16}-mn+4n^2[/tex]

Therefore,

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)

Answers

Answer:

x = 8, y = 4

Step-by-step explanation:

y = x - 4

y = -0.5x + 8

y = y

x - 4 = -0.5x + 8

x + 0.5x = 8 + 4

1.5x = 12

x = 12/1.5

x = 8

To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)

y = (8) - 4

y = 4

OR

y = -0.5(8) + 8

y = -4 + 8

y = 4

The answer is B, because the answer is (8,4)

I need help please. Thank you

Answers

Answer:

try 4 inches

Step-by-step explanation:

since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.

2 + yx; use x = 6, and y = 5

Answers

Answer:

answer: 32

Step-by-step explanation:

2+5*6

=32

help a brother out ya boy is lazy and don't wanna work.

Answers

Answer:

10

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

The number of fish in a lake decreased by 25% between last year and this year. This year there are 45 fish in the lake. What was the population of last year

Answers

Answer:

The population of last year was 60.

Step-by-step explanation:

From the information given, as you know that the number of fish in a lake decreased by 25% between last year and this year, the amount of fish this year represents 75% of last year's population as: 100%-25%=75%. With that, you can use a rule of three to find last year's population tha would represent 100% given that 75% is equal to 45 fish.

75%   →  45

100%  →   x

x=(100*45)/75= 60

According to this, the answer is that the population of last year was 60.

What is the slope of the line in the graph?

-4/3
-3/4
3/4
4/3

Answers

B -3/4 you take the two points

. Solve; 2x+96=182 hurry due in 5 mins

Answers

Move all terms that don't contain x to the right side and solve.

x = 43

Answer:

x=43

Step-by-step explanation:

2x+96=182    

2x=86      (Subtract 96 from 182)

x=43         (Divide 86 by 2)

Melissa has six sets of card matches. She drops the cards and must find their match again. Record your results below.

Answers

Answer:

there is no work?

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need help with this question

Answers

Answer:

The scale factor is 1 to 3

Step-by-step explanation:

Here, we want to determine the dilation scale

As we can see we have a dilation of 9 to 27

The ratio here will be;

9 to 27

which is 1 to 3

what's 5x+y=3 written in y=mx+b form​

Answers

Answer:

y=-5x+3

Step-by-step explanation:

5x+y=3

sub 5x from each side

y=-5x+3

HELP THIS IS TIMED !!!!

Answers

Answer:

55,300

Step-by-step explanation:

Every year it goes up 2,400

2,400x4=9,600

9,600+45,700=

55,300

What are the next three terms of the geometric sequence 32, -16, 8, …?

Answers

Answer:

-4, 2, -1

Step-by-step explanation:

everything is being multiplied by -1/2

32 × -1/2 = -16

-16 × -1/2 = 8

So 8 × -1/2 = -4

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