Need help on HS geometry

Answer:

  an = 22 -6(n -1)

Step-by-step explanation:

The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d

The third term will be ...

  a3 = 10 = 22 +d(3 -1)

Then the common difference is ...

  10 -22 = 2d

  -12/2 = d = -6

__

Putting the known values into the formula for the general term, it becomes ...

  an = 22 -6(n -1)

__

This can be simplified to ...

  an = 28 -6n

Answer: y = -2x + 8

Step-by-step explanation:

gradient = change in y/ change in x = 8/-4 = -2

y = -2x + c

substitute values in

8 = 0 + c

c = 8

y = -2x + 8

The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8

The line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b

Slope = -8/4
Slope = -2

Determine the y-intercept

Since the y-intercept is the point where the line cross the y-axis, hence b = 8.

FInd the required equation

y = -2x + 8

Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8

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Answer:

ab hehehe hende ko Alam hahahah

Hence, the area of the square [tex]AB[/tex]  is [tex]5[/tex]

What is the area of square?

The area of a square is equal to

(side) × (side) square units.

Here given that,

Square [tex]ABCD[/tex] is drawn on the coordinate plane (not shown) with vertex [tex]A(-4,-2)[/tex] and the midpoint of side [tex]AB[/tex] at [tex]B(-1.-6).[/tex]

Given ertices are [tex]A(-4,-2)[/tex] and [tex]B(-1.-6).[/tex]

So,

[tex]AB=\sqrt{(-1+4)^2+(-6+2)^2}\\AB=\sqrt{(3)^2+(-4)^2}\\AB=\sqrt{9+16}\\AB=\sqrt{25}\\AB=5[/tex]

Hence, the area of the square [tex]AB[/tex]  is [tex]5[/tex].

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d

$5604.41 will be worth after 20 years I think

Compound interest is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

Option 2 will be worth $7400.25 after 20 years.

Option C is the correct answer.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Option 2.

1st year.

Principal = 1100

2nd year.

Principal = 1210

3rd year.

Principal = 1331

(1210 - 1100) / 1100 x 100

= 110/1100 x 100

= 10%

This means,

It is increasing at a rate of 10% annually.

Now,

P = $1100

r = 10%

n = 1

t = 20

A = P [tex](1 + r/n)^{nt}[/tex]

A = 1,100 [tex](1 + 0.1)^{20}[/tex]

A = $7400.25

Thus,

Option 2 will be worth $7400.25 after 20 years.

Option C is the correct answer.

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Answer:

  6 cm^2

Step-by-step explanation:

The area of the trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

  A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters

Answer:

6 cm^2

Step-by-step explanation:

The area of the trapezoid is given by the formula ...

A = 1/2(b1 +b2)h

A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters

Answer: 177.55 miles

Step-by-step explanation: 355.1/2

                                            = 177.55 miles each day

Answer:

177.55mi/day

Step-by-step explanation:

If you travel for x number of days and want to split your trip evenly across those days, simply divide the distance you need to travel by the number of days.

this answers is 8 am I right

Step-by-step explanation:

Step 1: Multiply the whole number part (1) by the denominator (8).

1 × 8 = 8

Step 2: Add the product from Step 1 (8) to the numerator (4).

8 + 4 = 12

Step 3: Write that result (12) above the denominator. So,

[tex]\frac4{8}{1}[/tex]

Step 4: The fraction [tex]\frac{12}{8}[/tex]

Can be reduced by dividing both numerator and denominator by the GCD(12,8) = 4. Thus,

[tex]\frac1{4}{8} =\frac{3}{2}[/tex]

The amount that she will have to pay for everything is $52.68.

First step is to calculate the cost of 3 can of tennis ball

Cost of cans=3 x $4

Cost of cans=$12

Second step is to calculate the discount

Discount=15% x $43

Discount=$6.45

Third step is to calculate the cost of total racket

Total racket=$43 -$6.45

Total racket=$36.55

Fourth step is to calculate the amount that Elena will pay including tax

Amount=($12 + $36.55) + [($12 + $36.55)x 0.085]

Amount=$48.55 + ($48.55 x 0.085)

Amount=$48.55+$4.13

Amount=$52.68

Inconclusion the amount that she will have to pay for everything is $52.68.

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Answer:

91

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10+11+12+13 = (14 * 6) + 7 = 91

Answer:

-75

Step-by-step explanation:

i had the exam so it is write

Answer:

3/y

Step-by-step explanation:

15x

5xy

you would divide top and bottom by 5x, since it is their only common divisor.

you would then get 3/y. hope this helps

It will take 10 classes for YOGA FOR US & STRETCH LAND to have the same amount of money spent on yoga classes.

For Yoga For Us after 10 classes . You would have spent 50 dollars for the classes,plus our $30 fee is (50+30) which is $80

For Stretch Land after 10 classes.  You would have spent 20 dollars for the classes,plus our $60 fee is (60+20) which is $80.

Each yoga studio will have gathered $80 after 10 classes.

Hope this helps <3 & don't forget to drink water!!

Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25.   This is expressed by 2x+5y= 37.25

Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25.  This is expressed by 8x+9y=102.25

So, the system of equations to solve is:

[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

So, isolating the variable x from the first equation:

2x+5y= 37.25

2x= 37.25 - 5y

x= (37.25 - 5y)÷2

x= 18.625 - [tex]\frac{5}{2}[/tex]y

Replacing in the second equation:

8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25

Solving:

8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25

149 - 20y + 9y=102.25

149 -11y= 102.25

-11y= 102.25-149

-11y= -46.75

y= (-46.75)÷ (-11)

y= 4.25

Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:

x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25

x= 18.625 - 10.625

x=8

Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

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Answer:

The number (5/3)³ written as a quotient of powers is; 5³/3³

According to the question;

We are required to determine write the number, (5/3)³ as a quotient of powers

The number (5/3)³ can be evaluated as;

= 125/27

= 5³/3³

Step-by-step explanation:

Answer:

Yes it does. Because it's a linear graph, what Mena's it's a linear relationship, and linear relationships are proportional

The value of x from the system of equation is 0

Given the systems of equation

–3x + 8y = 16

3x + 4y = 8

Using the elimination method.

Add both equations

-3x + 3x + 8y + 4y = 16 + 8

12y = 24

y = 24/12

y = 2

Substitute y = 2 into equation 2:

3x + 4y = 8

3x + 4(2) = 8

3x = 8 - 8

3x = 0

x = 0

Hence the value of x from the system of equation is 0.

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Answer:

Which claim most accurately describes the energy transformation taking place while he practices his guitar?

Sound energy is converted into elastic energy.

Kinetic energy is converted into thermal energy.

Mechanical energy is converted into sound energy.

Electrical energy is converted into mechanical energy.

Step-by-step explanation:

Answer:

C. 4,500

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides

Answer:

13

Step-by-step explanation:

set equations equal to each other and solve for x

6x + 20 = -4x + 150

10x = 130

X = 13

Answer:

Not much sure if this is a joke but 1+1 is 2 not 11.

Step-by-step explanation:

I hope I helped.

Have a great day ;)

Answer:

3

Step-by-step explanation:

substitute where x=3 into the equation

so 4*3-1=11

4×3-1=11

12-2=11

11=11

proved..

Answer:

b. 4(x^2 - x - 6)

c. 4(x - 3)(x + 2)

e. (4x - 12)(x +2)

f. (x - 3)(4x + 8)

hope it helps :)

mark brainliest!!

Answer:

A

Step-by-step explanation:

If  the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis

Then the two points on that line will be (14,17.50) and (16,20)

We know that the slope of a lien with points  is give by:-

Hence, the slope of the graph with points  (14,17.50) and (16,20) is given by :-

Therefore, the slope of the graph = 1.25 dollars per roll.

Answer:

-5/2

Step-by-step explanation:

First, you want to get the equation into the Y=mx+b formula, and my m will be the slope of the line.

So in our case, we get Y= -5/2x+3/2 so my slope is -5/2