What is the area of the parallelogram shown?


A= In^2

A number line which shows -4, -1, 1, and 2 correctly plotted on a graph is shown in the image attached below.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0). Therefore, the numerical values -4 and -1 would be plotted on the left hand side of zero (0) while the numerical values 1 and 2 would be plotted on the right hand side of zero (0) using a number line.

In this scenario, a number line would be used for the comparison of two or more numbers such as -4, -1, 1, and 2, and this is plotted in the graph shown in the image attached below.

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The required expression for the fenced region is lw = 650.

Given that,
A homeowner wants to fence in a rectangular space in her yard along one side of her house for her dogs. the total area she can fence in is 650 square feet.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Let the length of the area be l and the width of the area be w,
The total area she can fence in is 650 square feet.
lw = 650

Thus, the required expression for the fenced region is lw = 650.

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Answer:

The answer is 18 hours

Step-by-step explanation:

3 hours x 6 days

3x6 = 18

The estimate of the average decay rate of change is -0.6

From the question, we have the graph and the interval is given as

t = 5 to 15

This can also be represented and expressed as

(a, b) = [5, 15]

From the attached graph, we have

f(5) = 12

f(15) = 6

The estimate of the average decay rate of change is calculated as

Rate = [f(b) - f(a)]/[b - a]

This gives

Rate = [f(15) - f(5)]/[15 - 5]

So, we have

Rate = [6 - 12]/[15 - 5]

Evaluate

Rate = -0.6

Hence, the average decay rate of change is -0.6

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After solving the equation made for a triangle, the value of angle A will be equal to 21.

Simple polygons with three sides and three internal corners make up triangles. Being one of the fundamental geometric shapes, it is symbolized by the symbol and consists of three connected vertices.

As per the given data in the question,

Angle A is 13 less than angle C.

Let angle C is x then angle A is equal to (x - 13) and,

Angle B is 11 less than 4 times of angle C then,

B = 4x - 11

Add all the angles and equate them with 180.

(x -13) + (4x - 11 ) + x = 180

6x -24 = 180

6x = 180 + 24

x = 204/6

x = 34.

Substitute x = 34 in angle A

A = (x - 13)

A = 21.

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The equation that models the total amount of money y you pay if you buy x yards of fabric is y = 9.50x - 6

Given,

You have a coupon for a $6 discount at a fabric shop. You purchase fabric for $9.50 per yard.

We have to find an equation that models the total amount of money y you pay if you buy x yards of fabric.

Here,

The equation for the situation be like;

y = 9.50x - 6

Where,

y is the total amount paid

x is the number of yards of fabric you bought

That is,

The equation that models the total amount of money y you pay if you buy x yards of fabric is y = 9.50x - 6

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The original coordinates are R= (-6,-6) and S = (-4,0)

What is translation?

Translation in mathematics is a property in which we shift each coordinate on a line by a constant value.

We are given that we originally had a segment RS which is reflected over the line y = x and then translated by (x+3, y+4) after this the segment we get the coordinates are R'' (-1,4) and S( -3,-2)

We are asked to find the coordinates of R and S

To find the coordinates we first reverse the process we subtract 3 from both x coordinate and 4 from both y coordinate

Hence we get,

R' = (-1,4)-(3,4)

R' = (-4,0)

And

S' = (-3,-2)-(3,4)

S' = (-6,-6)

Now to find the original coordinates we reverse the coordinates

Hence we get,

R= (-6,-6) and S = (-4,0)

Therefore the coordinates are R= (-6,-6) and S = (-4,0)

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Step-by-step explanation:

we have a basic fee of $40 just for renting the car.

and we rent it for 2 days for $30 per day.

so, this costs

40 × 2×30 = 40 + 60 = $100

Answer:

X²+4X-5 without a reminder

The distance yet to be covered by Ashlee is 6.8 miles.

Ashlee is riding her bike to the beach. The beach is 17 miles from her home. She has already travelled 3/5 of the total distance. We need to find out how much farther she has to cycle.

Let the distance left to be covered by Ashlee be represented by the variable "D". The distance already covered by Ashlee on her cycle is calculated below.

d = (3/5)×17

d = 10.2

So she has already covered a distance of 10.2 miles. The distance yet to be covered is the difference between the total distance and the distance covered.

D = 17 - 10.2

D = 6.8

Hence, the distance yet to be covered by Ashlee is 6.8 miles.

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Answer:

the other 2 sides equal 70.5 ...but I am not for sure because you did not give me enough information (like a picture)

According to the vertex form of the parabola,

a) The value of a is -1/7.

b) And If the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

Vertex form of the parabola

The vertex form of the parabola can be given as,

y = a(x - h)² + k

Where

h,k are the coordinates of the vertex.

Given,

Allie is playing basketball. She takes a shot 17 ft away from the basket. When the ball is 2 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 17 ft above the floor when it is 9 feet away from her.

Here we need to find the following:

a. The value of a

b.  If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?

We know that, Allie takes a shot of 17 ft away and at the distance of 2 feet the ball achieve the height of 10 feet from the ground.

And the greatest height achieved by the ball is 17 ft above the floor.

Then the value of a is calculated by using the point that is obtained thorough the given details is,

=> (2, 10)

And the vertex of the equation are (9, 17)

When we apply these on the vertex form, then we get,

10 = a(2 -  9)² + 17

-7 = a(-7)²

49a = -7

a = -1/7

Therefore, the value of a is 1/7.

Now we have to find if the hoop is 10 ft high, The distance close to Allie have to be in order to make the basket-

Here the value of y is 10 and x is not known.

Now, we have to put these values on the equation then we get,

=> 10 = -1/7 (x - 9)² + 17

=> -7 = -1/7 (x -9)²

=> 49 = (x - 9)²

=>√49 = x - 9

=> x = 16

Therefore, if the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

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Using the simplification, the solution of the given expression for x is 107.5.

In the given question we have to solve the given expression.

The given expression is x-12.5=95.

Now solving the expression.

x-12.5=95

To solve the expression we add 12.5 on both side

x-12.5+12.5=95+12.5

x=107.5

The solution of the given expression for x is 107.5.

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Answer:

9/34

Step-by-step explanation:

I find when multiplying fractions, its easier to separate them into the numerator and denominator.

So we have 12 x 3, and 17 x 8

12 x 3 = 36

17 x 8 = 136

So we have 36/136

Simplified, that is 9/34

There will be infinite number of states and paths when the state space is (x,y) as the state space (i.e., a set of possible locations for the robot) consists of all possible positions (x, y) in the plane.

The collection of every possible setup for a system is its state space. It is a common abstraction in the study of artificial intelligence and game theory because it can be used to reason about the behavior of a specific system. A state space is typically introduced into a system description without being given any thought to its precise physical meaning. However, it is well known that choosing an appropriate state space representation makes it simpler for us to comprehend or control a system's property.

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Answer:

1256.64

Step-by-step explanation:

Answer:

the price per once is $0.165

Step-by-step explanation:

[tex]8 \: jar \: of \: peanut \: cost \: 1.32 \\ 1jar \: cost \: what \: \\ now \: to \: get \: price \: of \: each \: jar\\ 1.32 \div 8 \\ = .0165[/tex]

The salary of Kayden after 4 years will be $ 221,952.00

The annual salary is $48000

Salary rise is $4500

The rate of the this salary can be found out by [tex]\frac{48,000- 4500}{48000}[/tex]

= [tex]\frac{43,500}{48,000}[/tex] × 100

= 90.6 %

The time interval is 4 years

thus the prinicipal amount is given as $48000.

thus simple interest is P × R × T/ 100

which when calculated will give us

simple interest = $221,952.00

$221,952.00 is the total amount accrued from simple interest on a principal of $48,000.00 at a rate of 90.6% per year for 4 years. This includes both principal and interest.

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GIVEN :

TO FIND :

OPTIONS :

(A) 20 ducks, 15 buffalo

(B) 15 ducks, 20 buffalo

CASE (i) - 20 ducks, 15 buffalo

= 20·2 + 15·4

= 40 + 60

= 100

CASE (ii) - 15 ducks, 20 buffalo

= 15·2 + 20·4

= 30 + 80

= 110

FINAL ANSWER :

Therefore, the number of ducks are 15 and 20 buffalo.

[tex]{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

Answer:

200 at 9% simple interest for 2 years

Answer:

a

Step-by-step explanation:

Hope it helps and have a nice day!!!! :)

Answer:1. 8

2. 16

Step-by-step explanation:

multiply x times y divide by 6 on both sides and you got your answer

If a polynomial is divisible by another then that will be a factor of the polynomial. The value of c such that the given polynomial p(x) = 4x³ + cx² + x + 2 is divisible by (x + 2) is 8.

An algebraic factor is the multiplication of two algebraic terms.

That term could be in the form of summation multiplication or in subtraction.

The root of the quadratic equation formed by the algebraic factor is always real.

As per the given polynomial,

p(x) = 4x³ + cx² + x + 2

Divide  4x³ + cx² + x + 2 by (x+2)

First quotient = 4x²

Then, (4x³ + cx² )- (4x³ + 8x²)

Now in order to become it zero c must be the same as 8.

c = 8

Then, the second quotient = 1

(x + 2) - (x + 2) = 0

So, 4x³ + cx² + x + 2 = (x + 2)(4x² + 1)

Hence "The value of c such that the given polynomial p(x) = 4x³ + cx² + x + 2 is divisible by (x + 2) is 8".

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Answer:

41

Step-by-step explanation:

the pattern is +6 so the next few would be 23, 29, 35, 41, 47...

the ninth term would be 41

Answer:

[tex]\frac{7}{11}[/tex], [tex]\frac{7}{9}[/tex], [tex]\frac{7}{8}[/tex]

Hope this helps!

Step-by-step explanation:

One way to find this out is by just plain dividing the numbers, 7 ÷ 11 is 0.636363..., 7 ÷ 9 is 0.7777777..., and 7 ÷ 8 is 0.875. 7/11 is the smallest of all of them, then 7/9, and then 7/8.

Answer:

$24.50

Step-by-step explanation:

In order to predict the cost of an order with 6 boxes, x has to be equal to 6.

So we have to use the function 3.25x + 5 for [tex]x\geq 6[/tex].

Then, plug in 6 for x and solve.

3.25(6) + 5 = 19.50 + 5 = 24.50

Answer:

x-intercept (88/7,0), y-intercept (0,11)

Answers:

x intercept = 88/7

y intercept = 11

===============================================

Explanation:

To find the y intercept, we replace f(x) with 0 and solve for x.

f(x) = (-7/8)x + 11

0 = (-7/8)x + 11

(7/8)x = 11

7x = 8*11

7x = 88

x = 88/7 is the x intercept

It is located at (x,y) = (88/7, 0)

The x intercept always occurs when y = 0.

88/7 = 12.5714 approximately, but I would stick to the fraction form since it's most exact.

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

The y intercept always occurs when x = 0.

f(x) = (-7/8)x + 11

f(0) = (-7/8)*0 + 11

f(0) = 0 + 11

f(0) = 11 is the y intercept

It is located at (0,11)

The y intercept is much easier to find since we just need to read off the last value of the function (aka the constant value).

77 is the sum of their integers  squares .

What in math is an integer?

Let the numbers be ( n - 1 ), n , ( n + 1 )

according to question

  ( n - 1 ) (n) ( n + 1 ) = 8( n + n - 1 + n + 1 )

  n( n² - 1 ) = 8(3n)

   ( n² - 1 ) = 24

    n²= 25

    n = 5

since n is positive integer n = 5

thus required numbers are 4,5,6

4² + 5² + 6² = 77

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