Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals' intersection point. In complete sentences, explain which method you used for finding the intersection point.

ANSWER

[tex]g(x) = \sin(x +4) - 4[/tex]

EXPLANATION

The basic sine function is

[tex]f(x) = \sin(x) [/tex]

The transformed sine function has equation

[tex]g(x) = a \sin(bx +c ) + d[/tex]

where a=1 is the amplitude

2π/b=2π is the period

c/b= 4 is the horizontal shift 4 units left.

d=-4 is a downward vertical shift of 4 units.

The required sine function is:

[tex]g(x) = \sin(x +4) - 4[/tex]

Answer:

A = 78.5 in ^2

Step-by-step explanation:

Area of a circle = pi * r^2

The radius is d/2

r= 10/2

r =5

A = pi * r^2

Substitute r=5

A = pi *(5)^2

A = 25 pi

We know that pi is approximated by 3.14

A = 25 (3.14)

A = 78.5 in ^2

Answer:

Part 1) The segment length indicated is [tex]6.4\ units[/tex]

Part 2) The segment length indicated is [tex]19\ units[/tex]

Step-by-step explanation:

Let

x------> the segment length indicated

Part 1)

Applying the Pythagoras Theorem

[tex](13+x)^{2}=13^{2}+14.4^{2}\\ \\ (169+26x+x^{2})=169+207.36\\ \\x^{2}+26x-207.36=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]x=6.4\ units[/tex]

see the attached figure N 1

Part 2)

Applying the Pythagoras Theorem

[tex]x^{2} =11.4^{2}+(7.6+7.6)^{2}\\ \\ x^{2}=129.96+231.04\\ \\x^{2}=361\\ \\x=19\ units[/tex]

Answer:

405 inches^2

Step-by-step explanation:

V=bh/3

The base would be 81 because 9x9

The height is 15

81x15=1215

1215/3= 405

Answer:

Quotient

Step-by-step explanation:

The quotient is the answer of the division equation.

answer:

​quotient

Step-by-step explanation:

quotient is the answer to a division problem

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

the lawn above is 40 x 60= 2400 ft^2

one bag of seed that costs $2.50 and it covers 1200 ft^2

if your lawn is 2400 ft^2 you divide it by the 1200 ft^2

                            2400 ft^2 / 1200 ft^2 = 2

so if 1 bag covers 1200 ft^2 then you will need 2 bags to cover 2400 ft^2.

at $2.50 a bag your answer will be, B.

Answer is B

Area = area of rectangle + area of that small areched shape

Area is little bit more than (60*40)=2400

Which is covered by 2 bags (2400/1200) =2

Cost of 2 bags is 2.5*2=5

So..you have to choose what is more than 5 with little amout..which is 5.51

Answer:

$290.00

Step-by-step explanation:

The equation would be 890-600=290 because if you subtract the base amount from the final savings it would give you how much she saved altogether.  

Hope this helps! :)

Answer with Step-by-step explanation:

A linear function is of the form ax+b

A) f(x) = 8x² + 2

The above expression is not of the form ax+b

hence, it is not linear

B) f(x) = 8 x + 2

The above expression is of the form ax+b

hence, it is linear

C) f(x) = 8x² − 2

The above expression is not of the form ax+b

hence, it is not linear

D) f(x) = [tex]x^8-2[/tex]

The above expression is not of the form ax+b

hence, it is not linear

Hence, function which is linear is:

B) f(x) = 8 x + 2

Answer:

B)

Step-by-step explanation:

Assuming the numbers following the variables are exponents, (ex: 8x2, x8), the only function that is linear would be option B. This is because linear functions do not have exponents following their variables. If graphed, t are a straight line.

Answer:

70

Step-by-step explanation:

From 8, we want to choose 4.  So:

₈C₄ = 8! / (4! (8-4)!)

₈C₄ = 8! / (4! 4!)

₈C₄ = (8×7×6×5×4×3×2×1) / (4×3×2×1 × 4×3×2×1)

₈C₄ = (8×7×6×5) / (4×3×2×1)

₈C₄ = 70

There are 70 different teams you can form.

Answer:

x=25

Step-by-step explanation:

x+y=100 (y being number of 8¢ stamps)

12x+ 8y = 900

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

y = 100-x

12x + 8y = 900

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

12x + 8(100-x) = 900

12x + 800 - 8x = 900

12x - 8x = 900 - 800

4x = 100

x=25

Answer:

4x² - 2x

Step-by-step explanation:

5x² + x - 2x - x² - x

can be simplified:  5x² - x² - 2x + x - x = 4x² - 2x

Answer:

3x^2

Step-by-step explanation:

five x squared

5x^2

plus x

+x

minus two x squared

-2x^2

minus x​

-x

All together

5x^2 +x-2x^2 -x

Combine like terms

5x^2-2x^2 +x-x

3x^2

the answer would be 0.03%

The number that is equivalent of 3% is 0.03

From the question, we have the following parameters that can be used in our computation:

Number = 3%

Express the percentage as division

So, we have

Number = 3/100

When the division is evaluated, we have the following

Number = 0.03

Hence, the equivalent of 3% is 0.03

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Answer:

18

Step-by-step explanation:

The length of  side AC can be found by counting the squares between AC:  8.

The length of side BC can be found using the Pythagorean Theorem.  B is 3 units to the right of C and 4 units above C.  Thus:

|BC| = √(3² + 4²) = √25 = 5.

|AC| has the same length:  5.

Thus, the perimeter of this triangle is 5 + 5 + 8, or 18.

d 18 units 5+5+8. just add the side lengths

Answer:

Correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].

Step-by-step explanation:

Given expression is : [tex]5a^2b-5a^2c-5db+5dc[/tex]

Now we need to factor it by completing square to match the correct choice.

[tex]5a^2b-5a^2c-5db+5dc[/tex]

Make two groups having first two terms and last two terms then find GCF of each.

[tex]=5a^2(b-c)-5d(b-c)[/tex]

Hence correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].

Answer: x = 9

x = -5

Step-by-step explanation:

Answer: w = 61

Step-by-step explanation:

If the wall is 456 cm then the carpenter has already used up 334 cm of the wall on the other book cases. So 456-334 = 122 and since both of the bookcases are going to be the same width you divide 122 by 2 which gives you 61. Hope this helps :).

Answer:

Step-by-step explanation:

Put x = -4 to f(x) = -x - 2:

f(-4) = -(-4) - 2 = 4 - 2 = 2

Answer:

D=2R R=D/2  Circumference = 2πR  Area: πR^2

Step-by-step explanation:

Answer:

A. $3,992.50

Step-by-step explanation:

Pavi has a credit limit of $8,000.

The credit statement says that the current balance is $4,007.50.

The margin Pavi has is the limit ($8,000) minus the current balance ($4.007.50), so 8000 - 4007.50 = 3992.50

It could have been guessed easily, because the balance is roughly half of the credit limit... so what's left is roughly half of the credit limit.   And the first answer is the only one close to that half-limit number ($4,000).

Answer:

The root of [tex]\sqrt{2y-5} +8 = 4[/tex] is 10.5.

Step-by-step explanation:

Given that,

[tex]\sqrt{2y-5} +8 = 4[/tex]

As we have a square root term along with a single term on left side. We will move the single term on right side.

[tex]\sqrt{2y-5}  = 4-8[/tex]

[tex]\sqrt{2y-5}  = -4[/tex]

Taking the square on both sides, we get

[tex](\sqrt{2y-5})^2  = (-4)^2[/tex]

Square will cancel the impact of square root, therefore:

[tex]({2y-5})  = 16[/tex]

[tex]2y = 16+5[/tex]

[tex]2y = 21[/tex]

[tex]y = \frac{21}{2}[/tex]

[tex]y = 10.5[/tex]

Therefore, the root of [tex]\sqrt{2y-5} +8 = 4[/tex] is 10.5.  

Answer:

The data set with the greater range is the girls, the greatest medium is also the girls.

Step-by-step explanation:

The range of the boys is 60-120

while the range of the girls is 70-150

The medium of the boys is 90,

the medium of the girls is 110 (as it is between 100 and 120 so the medium is 110)

There is approximately 1 second per second

You’re welcome

Approximately one

Per one

Answer:

1. How many hours do the students in this class sleep each night

How many letters are in the first name of each person in this class

2. How many marbles are in the jar on the teacher's desk

3. How tall are the sixth grade students in your school

How many pull-ups can each student in your class do

How many students were absent from Mrs. Jenssen's class today

What was the temperature at 4pm each day this week

Step-by-step explanation:

The best-fit line for a data set is found using the least-squares regression method, which identifies the linear equation that minimizes the residual errors. The equation is in the form y = mx + b, where m is the slope, and b is the y-intercept.

The question seeks to determine the linear function equation that best fits a given data set. To find the best-fit line, also known as the least-squares regression line, we typically analyze data points and use statistical methods to determine the equation that minimizes the sum of the squares of the residuals (the differences between the observed values and the values predicted by the model). The given options suggest that we are looking for a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

The equation of the best-fit line provided in the reference material, ý = -173.51 + 4.83x, indicates the method to determine both the slope (4.83) and the y-intercept (-173.51). This can be compared with the provided options to identify which one has a slope (or multiplier for x) closest to 4.83 and y-intercept closest to -173.51. In practice, students would use numerical and conceptual methods rather than graphing to interpret the data in multi-dimensional space when there are more than two variables involved.

[tex]\frac{4}{4}total[/tex]

[tex]\frac{4}{4} - (\frac{2}{4} + \frac{1}{4} )[/tex]

[tex]\frac{4}{4} - \frac{3}{4} = \frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] of the candy bar is remaining

1/4 of the candy bar is left.

First, let's add up the fractions of the candy bar that Jim and his brother ate:

Jim ate = 1/4

his brother ate = 2/4.

To find out how much they ate in total, we add these fractions:

1/4 + 2/4

= 3/4

So, they ate a total of 3/4 of the candy bar.

Now, to find out how much of the candy bar is left, we subtract the total amount they ate from 1 (the whole candy bar):

1 - 3/4

= 1/4

So, 1/4 of the candy bar is left.

Answer:

Second option: [tex]f(x) =-7x^2 -x + 2 [/tex]

Step-by-step explanation:

A quadratic function has the form:

[tex]f(x)=ax^2+bx+c[/tex]

(Where [tex]a\neq0[/tex])

You can observe that the highest exponent of a quadratic function is 2.

Then, let's check which of the options shows a quadratic function:

1) [tex]f(x) = 2x^3 + 2x^2 - 4[/tex]

Its highest exponent is 3, then this is not a quadratic function.

2) [tex]f(x) =-7x^2 -x + 2 [/tex]

Its highest exponent is 2 and [tex]a\neq0[/tex], then this is a quadratic function.

3) [tex]f(x) = -3x + 2[/tex]

Its highest exponent is 1, then this is not a quadratic function.

4) [tex]f(x) =0x^2+3x-3[/tex]

You can observe that [tex]a=0[/tex], then this is not a quadratic function.

Answer:

B. f(x) = –7x2 – x + 2

Step-by-step explanation:

the answer above me is right so I'm just shortening it so the answer is easy to find, have a great day !

Answer:

1)LSA=219.91 m^2

 TSA= 298.45 m^2

2)LSA=785.39 ft^2

  TSA= 1099.55 ft^2

3)LSA=527.78 in^2

TSA=728.84 in^2

4)LSA=480.66 mm^2

TSA= 735.13 mm^2

5)LSA= 56 cm^2

  TSA= 72 cm^2

6)LSA=261 in^2

  TSA=391.5 in^2

Step-by-step explanation:

lateral surface area(LSA) of cone is calculated by: πrl

Total surface area(TSA) of cone is calculated by: πrl + πr^2

where r is radius of cone

           l is slant height of cone

Q1)

r=5m and l=14m

Putting value in formula:

LSA= πx 5x 14

      = 219.91

TSA= πx 5x 14 + π(5)^2

     = 298.45

Q2)

r=10ft and l=25ft

Putting value in formula:

LSA= πx 10x 25

      = 785.39

TSA= πx 10x 25 + π(10)^2

       = 1099.55

Q3)

r=8in and l=21in

Putting value in formula:

LSA= πx 8x 21

      = 527.78 in

TSA= πx 8x 21 + π(8)^2

     = 728.84

Q4)

r=9mm and l=17mm

Putting value in formula:

LSA= πx 9x 17

      = 480.66 mm

TSA= πx 9x 17 + π(9)^2

      = 735.13

Q5)

LSA of Pyramid is given by= 1/2(p)(l)

TSA of Pyramid is given by= 1/2(p)(l) +B

where p is perimeter of base

           B is area of base

and      l is slant height

Finding p= 4.length of each side       (as it is square base)

               =4x4

               = 16

finding B= s^2

             = 4^2

             =16

Putting values in formula:

LSA= 1/2(7)(16)

      = 56

TSA=1/2(7)(16) + 16

      = 72

Q6)

Finding p= 5.length of each side        (as it is Pentagon)

               =4x8.7

               = 34.8

finding B= 5[1/2(b)(h)]

             = 5[1/2(8.7)(6)]

             =130.5

Putting values in formula:

LSA= 1/2(34.8)(15)

      = 261

TSA=1/2(34.8)(15) + 130.5

      = 391.5 !

Answer:

6

Step-by-step explanation:

Given data:

x=area

f(x)=the length of one side of the square

Also the model of f(x)= [tex]\sqrt{x-1} +1[/tex]

Now determining length of one side of the square f(x), when Area x of square is 26:

Putting the value x=26 in given equation of f(x)

f(x)= [tex]\sqrt{26-1} +1[/tex]

   = [tex]\sqrt{25} +1[/tex]

  = 5 +1

   = 6

Hence length of one side of the square f(x) is 6, when Area x of square is 26 !

Answer with explanation:

x= Area

f(x)= The length of one side of the square

Model Determined by Sam to approximate the side of a square is

    [tex]f(x)=\sqrt{x-1} +1[/tex]

It is given that , Area(x) = 26 Square Unit

 Substituting the value of , x in above equation

    [tex]f(x)=\sqrt{26-1} +1\\\\f(x)=\sqrt{25} +1\\\\f(x)=5+1\\\\f(x)=6[/tex]

So, Side length of Square According to model created by Sam = 6 unit

The correct radius for Circle Y, given its circumference, is 3/π units. The provided equations do not reflect this value, and hence, are not correct.

The question essentially asks for the radius of Circle Y. The given information includes the radius of Circle X (rX = 6 units) and the circumferences of both circles (CX = 12π units and CY = 6 units).

Remember that the formula for the circumference of a circle is C = 2πr. Using this formula, we can find the radius of Circle Y by dividing its circumference by 2π. Hence,

rY = CY / (2π) = 6 / (2π) = 3/π units.

Consequently, the equation rY = rX is false, because 3/π is not equal to 6. Other given equations do not apply to this particular problem.

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