Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and D(-2,4).What is the area of the rectangle ABCD?

Step-by-step explanation:

[tex]y = 2x - 3 \\ plug \: x = - 1 \\ y = 2( - 1) - 3 = - 2 - 3 = - 5 \neq1 \\ hence \: ( - 1, \: 1) \: does \: not \: lie \: on \: the \: \\ graph \: of \: y = 2x - 3. \\ \\ y = 2x - 3 \\ plug \: x = 1 \\ y = 2 \times 1- 3 = 2 - 3 = - 1 \\ hence \: ( - 1, \: 1) \: lie \: on \: the \: graph \: of \: \\ y = 2x - 3. \\ \\ [/tex]

Answer:

C.

Step-by-step explanation:

The zeros of the function is or are your x-intercepts. The x-intercept is (2,0), so it is x=2.

Answer:

I don't know what that is

Answer: 56!

Step-by-step explanation: all of the numbers except 56 do not have any factors except one and itself. you can also tell in this case, that 56 is automatically composite because the ones digit is 6- an even number, meaning it can be divisible by two.

Answer:

56

Step-by-step explanation:

A composite number is a number that can be divided evenly by more numbers than 1 and itself. The number 56 can be evenly divided by 1, 2, 4, 7, 8, 14, 28 and 56, (with no remainder). Since 56 cannot be divided by just 1 and 56, it is a composite number.

Hopefully this helps!

Jonathon will pay $342 for 22 pizzas.

Initially, Jonathon paid $237 for 15 pizzas, which included the $12 delivery charge. To find the cost per pizza, we first subtract the delivery charge from the total amount.

Total without delivery charge = $237 - $12 = $225

Now, we divide this amount by the number of pizzas to find the cost per pizza.

Cost per pizza = $225 / 15 = $15

For 22 pizzas, we multiply the number of pizzas by the cost per pizza and then add the delivery charge.

Total cost for 22 pizzas = (22 x $15) + $12 delivery charge

= ($330) + $12

= $342

Therefore, Jonathon will pay $342 for 22 pizzas.

Answer:271.3mm^3

Step-by-step explanation:

Answer:

There are two possible values for r (area):  r =-7 or r=3

Step-by-step explanation:

Given the rectangular rug area is:

[tex]r^{2} -4r -21[/tex]  

We have to convert the above equation into factored form.

So two numbers whose product is -21r² and sum is -4r

<=> [tex]r^{2} -4r -21[/tex]  

= [tex]r^{2} -7r + 3r -21[/tex]

= r (r -7) + 3(r -7)

= (r-7)(r+3)

We set  [tex]r^{2} -4r -21[/tex]   = 0

<=> (r-7)(r+3) = 0

<=> (r-7) = 0 or (r+3)  = 0

<=> r =-7 or r=3

So, there are two possible values for r (area):  r =-7 or r=3

Final answer:

The possible dimensions of the rectangular rug with the given area trinomial r²-4r-21 are 7 by 3 or 3 by 7.

Explanation:

The possible dimensions of the rectangular rug with area given by the trinomial r²-4r-21 can be found by factoring the trinomial.

Factoring r²-4r-21 results in (r-7)(r+3). Therefore, the dimensions could be 7 by 3 or 3 by 7.

5.5 : 30.80 = 7 : x

x = 7 * 30.80 / 5.5 = $39.20

Answer: $39.20

Answer:

39.20 dollars

Answer:

370.75

Step-by-step explanation:

all you need to do is divide the original amount by 4

Final answer:

Madison can spend $370.75 each week if she divides her $1,483 monthly budget evenly over 4 weeks.

Explanation:

To find out how much Madison can spend each week, we divide her total monthly budget by the number of weeks in a month. Madison has a budget of $1,483 to spend this month. Since she wants to split her money evenly over 4 weeks, we perform the following calculation:

Total monthly budget: $1,483

Number of weeks in a month: 4

We divide the total budget by the number of weeks to find the weekly budget:

Weekly budget = Total monthly budget ÷ Number of weeks

Weekly budget = $1,483 ÷ 4

Weekly budget = $370.75

Therefore, Madison can spend $370.75 each week.

Answer:

d = 135

Step-by-step explanation:

OK. Let's start by setting up the equation:

1/3d = 45

Now we multiply each side by 3 to get rid of the fraction:

d = 135.

Check:

135 divided by 3 is what we will solve next:

That equals 45.

Thus, d = 135 is correct.

Answer: 135

Step-by-step explanation:

1/3d=45

It can still be writing as

D/3=45

Cross multiply

D=45×3

D=135

Answer: dang good luck with that

Step-by-step explanation:

sorry

Answer:

6 ft = 72 inches

72*1/3=24

24

They will get 24 slices if they cut the 6 foot hero into 1/3 inch slices.

A fraction is a numerical figure that represents a portion of a total.

Total length of the hero = 6 foot

1 foot = 12 inches

Total length of hero = 72 inches

Length of the slice cut = 1/3 inch

Total no. of slices = (1/3 * 72) = 24 slices

Hence the total no. of slices they will get is 24.

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Answer:

64

Step-by-step explanation:

64= 8² and 64=4³

The other choices will give you decimals.

Plug the y value in for y and plug the x value in for x

> less than

> less than or equal to

Example:

(4,5)

y > 5y > x

5 > 5x5 > 4  =  5 > 25 > 4  =  false

they all should be false

if one had to be correct, I would say (0, 0)

Answer:

(0,0)

Step-by-step explanation:

The amount of money that remained from Takuya's presence during month n is expressed as an=120-20n and the sequence is an arithmetic sequence.

The arithmetic sequence is the sequence where the common difference remains constant between any two successive terms. Let us recall what is a sequence. A sequence is a collection of numbers that follow a pattern. The general form of an arithmetic sequence is an=a+(n-1)d.

If Takuya's parents gave him $100 as a birthday gift and she spent $20 each month on board games until his money ran out, this means he keeps spending $20 every month and his money keeps reducing by the same amount each month until his money ran out, the following can be inferred;

initial amount = $100

If he spends $20 each month,

Balance at the end of 1st month = $100-$20 = $80

Balance at the end of 2nd month = $80-$20 = $60

Balance at the end of  3rd month = $60-$20 = $40 and so on

Since the amount keeps reducing by the same value i.e $20, then the sequence formed is an arithmetic sequence.

a is the first term of the sequence = 100

d is the common difference = 80-100 = 60-80 = 40-60 = -20

n is the number of terms

Substituting the given values in the formula we have; an=100+(n-1)(-20)

⇒an=100+(-20n+20)

⇒an=100-20n+20

⇒an=120-20n

Therefore, the amount of money that remained from Takuya's presence during month n is expressed as an=120-20n and the sequence is an arithmetic sequence.

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1) Option (A) arithmetic sequence.

2) The recursive formula is f(n) = f(n-1) - 20 with an initial condition of f(1) = 100.

3) The explicit formula is f(n) = 120 - 20n.

Let's address Takuya's birthday gift scenario step by step.

1. Type of Sequence

The sequence described is an arithmetic sequence because the same amount of money, $20, is spent each month, leading to a consistent decrease in the balance.

2. Recursive Formula

Initially, he had $100. So,

f(1) = 100

Given the monthly spending of $20, the recursive formula is: f(n) = f(n-1) - 20

3. Explicit Formula

To find the explicit formula of the arithmetic sequence, we use the initial value and the common difference:

f(n) = 100 - 20(n-1)

Simplifying gives us:

f(n) = 120 - 20n

Thus, the balance remaining after n months can be calculated using this explicit formula.

Complete question:

Takuya's parents gave him $100dollar as a birthday gift. Since he loves board games, he spent $ 20 dollars out of his present on board games at the end of each month until his money ran out. Let f(n) be the amount of money that remained from Takuya's present during month n, where n=1 represents the month he received his present.

1) f is a sequence. What kind of sequence is it?

Choose 1 answer:

A ) Arithmetic sequence

B) Geometric sequence

2) Complete the recursive formula for f(n).

f(1) = □

f(n) = □

3) Find the explicit formula.

Answer:

Hence Domain set for function is {0,1,2,3,4}

Step-by-step explanation:

Given:

Total amount spend =90

22.5 $ each game cost

To Find:

What is domain for the function

Solution:

Now domain mean all possible value for input so that it gives real output as per condition mentioned

So Our condition is that li spends money on video game depends on how many game he purchases

so  total money  spent on game is output

i.e in order to get that much amount of games.

If he spends 22.5 $ for each game and Total amount spent is 90

So 90/22.5=4 Now amount of game he would purchase will be 4

i.e range for lil is 0 to 4 wiht 90 $ in hand

So Domain set will be ranging from{0,1,2,3,4}

Answer:

y=x+3

Step-by-step explanation:

1.) Find slope

slope = (-1-3)/(-4-0)

= -4/-4

= 1

2.) Use point slope form

y-y1= m (x-x1)

both x1 and y1 are the points

m is the slope

3.) Plug in the numbers

for the points I chose (0,3) to plug in

y-3= 1 (x1-0)

y-3= x

y= x+3

Given:

[tex]\angle A=5 x-18^{\circ}[/tex]

[tex]\angle B=3 x+42^{\circ}[/tex]

To find:

The value of x and measure of angle A

Solution:

Alternate interior angle theorem:

If two parallel lines cut by a transversal, then the alternate interior angles are congruent.

⇒ m∠A = m∠B

[tex]5x-18^\circ=3x+42^\circ[/tex]

Add 18° on both sides.

[tex]5x-18^\circ+18^\circ=3x+42^\circ+18^\circ[/tex]

[tex]5x=3x+60^\circ[/tex]

Subtract 3x from both sides.

[tex]5x-3x=3x+60^\circ-3x[/tex]

[tex]2x=60^\circ[/tex]

Divide by 2 on both sides.

⇒ x = 30°

Substitute x = 30° in ∠A.

m∠A = 5x - 18°

       = 5(30°) - 18°

       = 150° - 18°

       = 132°

The measure of ∠A is 132°.

Answer:

x=2,y=-3

Step-by-step explanation:

y=x-5....(1)

5x+2y=4...(2)

Let's substitute (1) into (2)

5x+2(x-5)=4

5x+2x-10=4

7x-10=4

Add 10 to both sides

7x=14

Divide both sides by 7

x=2

Substitute the value for x into (1)

y=x-5

y=2-5

y=-3

Therefore x is 2,y is-3

Answer:

x = 2, y = -3

Step-by-step explanation:

y= x - 5

5x + 2y = 4

5x + 2(x - 5) = 4

5x + 2x - 10 = 4

7x = 14

x = 2

y = 2 - 5

y = -3

Answer:

x = 3

Step-by-step explanation:

vertical line mean x always constant

Answer:

x=3

Step-by-step explanation:

The equation for a vertical line is x=a, where a is any value

You plug in the point, and get x = 3

Answer:

[tex]m\angle ECB+m\angle EFB=180[/tex]

[tex]m\angle CDB\cong m\angle EDF[/tex]

[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]

Step-by-step explanation:

From the diagram, quadrilateral BCEF is a cyclic quadrilateral.

Opposite angles if a cyclic quadrilateral sum up to 180°

[tex]m\angle ECB+m\angle EFB=180[/tex]

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

[tex]m\angle CDB\cong m\angle EDF[/tex]

Also sum of angles in triangle CBD is 180°.

[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]

Answer:

B

Step-by-step explanation:

Answer:

B) Sally withdrew $10 from her checking account

Step-by-step explanation:

A, C, and D all describe someone gaining money, therefore they would be positive. B is the only option showing money being taken away, which is why it is -10.

Answer:

I'm unaware if this is what you're looking for? ‍♀️

Step-by-step explanation:

Your revenue minus your costs for goods or services is your gross profit. It follows a basic Sales – Cost = Profit equation. You're just subtracting a different category of cost. When you have your gross profit figure, use that number to determine your total profit. Sales – Cost = Profit

Answer:

B: 137 ml. (It`s the smallest unit of measurment out of all the choices)

Step-by-step explanation:

It izz wat it izzzz!!!

    :)

pls give me brainliest :)

Answer:

B.) 36.3 sq. yd

Step-by-step explanation:

To find the area of a rectangle is l x w (length multiplied by width) The length of the rectangle is 6 yards and the width is 4.

6 x 4= 24

Now you need to find the area of a triangle. To find the bottom or base of the triangle you must subtract 6 from 9. (6 being the top of the rectangle and 9 being the base.) which should give you 3. Now that we have the base of the triangle we can find the area of the triangle using the formula which is b x h/ 2 (base multiplied by height divided by 2) b= 3 and h= 4. 3 x 4= 12 divided by 2  equals 6.

Last we need to find the area of the half circle, based off the side of the rectangle we can say the diameter of the circle is 4. The radius is half of the diameter 4/2 = 2. The formula to find the area of a circle is A= πr^2

π(2^2) = 12.57 and because its a half circle we divide it by 2 which equals 6.285

Now we add all the areas of each shape so, 24+6+6.285 which equals 36.3

Answer = B.) 36.3

pls give me brainliest :)

Answer:

10 ^(R-15)/3   -2=  a

Step-by-step explanation:

R = 3 log (a+2) +15

Subtract 15 from each side

R-15 = 3 log (a+2) +15-15

R-15 = 3 log (a+2)

Divide each side by 3

(R-15)/3 = 3/3 log (a+2)

(R-15)/3 =  log (a+2)

The opposite of log is to raise each side to the power of 10

10 ^(R-15)/3 = 10 ^ log (a+2)

10 ^(R-15)/3 =  (a+2)

Subtract 2 from each side

10 ^(R-15)/3   -2=  (a+2-2)

10 ^(R-15)/3   -2=  a

Answer:

10 ^(R-15)/3   -2=  a

Step-by-step explanation:

i answered this on edge

Answer:

C

Step-by-step explanation:

The area of a circle can be found using

a=πr^2

First, we need to find the radius, because we have the diameter

The radius is half of the diameter

r=d/2

r=16/2

r=8

Substitute 8 in for r in the area formula

a=πr^2

a=π8^2

a=π64

a=201.06192983 cm^2

Approximately 201 cm^2, or choice C

Hope this helps!

Answer:

3.03 miles 160 feet

Step-by-step explanation:

Answer:

3 miles and 3 feetish