Please answer this question thank you

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

Answer:

Multiply 4 x 2 and the add the P in the front like this:

P = 8

HOPE IT HELPS, BE SAFE :3

Answer:

256

Step-by-step explanation:

Since p = 8

4(8)^2

[RevyBreeze]

Answer:

32

Step-by-step explanation:

Let's say n such books make up the stack.

If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.

==> number of books × 3/4 = 24

(to get this result add the heights of n such book, and equate it to 24. You'll get something like:

3/4 + 3/4 +. . . . n times = 24

And that's what's meant by 3/4 × n = 24)

==> n × 3/4 = 24

multiply both sides by 4

==> n × 3 = 24 × 4

divide both sides by 3

==> n = (24 × 4)/3

==> n = 8 × 4

==> n = 32

We assumed the number of books to be n.

so the answer is:

32 books, each if height 3/4 inch, are required to build a stack 24 inches high.

First, let's find the area of the rectangle.We know that the area of a rectangle is the length times width, or  20⋅32in this example:20⋅32=640So the area of the rectangle is  640ft2.You may not know the area of a semicircle, but that's fine  −we know the area of a circle, or  πr2.Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by  2:So the area of a semicircle is  πr22.The question asks for  πto just be  3.14, so instead the equation is  A=3.14r22The picture gives the diameter of the circle.To find the radius, or  r, we divide the diameter by  2:202=10Now we can solve for the area of the semicircle:3.14(10)223.14(100)23142157ft2Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:640+157=797ft2

Answer:

The answer is 10 square root of 3

Step-by-step explanation:

Hope this helps!

Answer:

16x

Step-by-step explanation:

just sum all of it friend π - π

the awnser is 16x duh that's easy how do u not know

Answer:

x = 6

y = 7

z = 23

Step-by-step explanation:

ÀC = z + 7

30 = z + 7

30 - 7 = z

z = 23

2x - 3 = 5x - 21

21 - 3 = 5x -2x

18 = 3x

x = 18÷3

x = 6

4x + 1 = 3y + 4

4(6) + 1 = 3y + 4

25 = 3y + 4

3y = 25 - 4

y = 21 ÷ 3

y = 7

please mark as brainliest i appreciate so much

Answer: A

Step-by-step explanation:

Using the 3D Pythagorean theorem, [tex]AB=\sqrt(6^2 + 4^2 + 1^2)=\sqrt(53)[/tex]

Answer:

(B) 18 cm x 8 cm

Step-by-step explanation:

let the length be x,

then the width is [tex]\frac{1}{3}[/tex]x + 2

2( [tex]\frac{1}{3}[/tex]x + 2 + x ) = 52

[tex]\frac{1}{3}[/tex]x + 2 + x  = 26

[tex]\frac{4}{3} x[/tex] = 24

x = (24*3)/4

x = 18

then the length is 18 cm

and width is (1/3)*18 + 2 = 8

Therefore the dimensions are length:width = 18 cm : 8 cm

Answer:

(B) 18cm x 8cm

Step-by-step explanation:

Perimeter of a rectangle  =  52 cm

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length

width  =  (x/3) + 2

x + (x/3) + 2  =  26

[(3x + x)/3]  + 2 =  26

4x / 3  =  24

4x  =  24 (3)

x  =  6(3) ==>  18 cm

Width  =  (18/3) + 2

=  6 + 2  =  8 cm

So, the required dimension is 18 cm x 8 cm.

Answer:

a = 1

b = 5

⇒ f(x) = x + 5

Step-by-step explanation:

Given

Therefore,

f(1) = 6    ⇒   a + b = 6

f(-2) = 3   ⇒   -2a + b = 3

Rewrite a + b = 6 to make a the subject, substitute into  -2a + b = 3  and solve for b:

a = 6 - b

⇒ -2(6 - b) + b = 3

⇒ -12 + 2b + b = 3

⇒ -12 + 3b = 3

⇒  3b = 15

⇒  b = 5

Substitute found value for b into  a + b = 6  and solve for a:

⇒ a + 5 = 6

⇒ a = 1

Therefore, f(x) = x + 5

Answer:

15

Step-by-step explanation:

15

1 5/8 divided 1/3

first change 1 5/8 into a improper fraction which is 40/8

40/8 divided by 1/3
Keep Change Flip
40/8 divided by 3/1
40/8 x 3/1 = 120/8 simplify by 4 then you get 30/2 simplify again and you get 15/1 which is 15
i hope this is right

Answer:

4 and 7/8 (or as a decimal: 4.875)

Step-by-step explanation:

(Important:) Okay, so before we solve this problem we need to know the "dividing fraction rules." When you are dividing fractions, you need to remember that the second fraction is flipped and the sign goes from being a division symbol to being a multiplication symbol. It may sound confusing, but I'll explain as we go on.

First, let's turn that 1 and 5/8 into an improper fraction so that this is easier to solve. Multiply the denominator by the whole number, then add the numerator. Keep the same denominator (8 in 1 and 5/8), but place your new numerator on top instead.

1 and 5/8 = 13/8.

Now we can go through the steps of the dividing process. Flip the second fraction in the equation. Doing this changes the symbol to a multiplication symbol.

13  x  3

8  x   1

Now multiply across.

13 x 3 = 39

8 x  1 =  8

This question does not ask for an improper fraction, so let's reduce this fraction down to a mixed number and decimal.

Mixed number: 39/8 = 4 and 7/8.

Decimal: 4.875.

I hope that this helps.

Answer:

just look at picture

Step-by-step explanation:

Hope this helps :)

Answer:

sure I will

Step-by-step explanation:

please give brainiest

Answer:

where is your pic can you post

Answer:

Step-by-step explanation:

Answer:

x ≥ 3

Step-by-step explanation:

Solve for x by dividing both sides by -7. When dividing by a negative, you have to flip the inequality.

-7x ≤ -21

-7x/-7 ≤ -21/-7

x ≥ 3

Since it is greater than or equal to, put a closed circle over 3 with the arrow going right -------->

Answer:

the measure of the external angle which is marked by yellow is 156 degrees

Answer:

the first one is  x=20. the second one is x=31.33 cm.

Step-by-step explanation:

1. x=20

2. x=31.33 cm

Hope this helps!!! :)

Answer:

  -27 -6z

Step-by-step explanation:

"Simplify" in this context means "eliminate parentheses." You do that by making use of the distributive property. The factor -3 outside the parentheses multiplies each term inside parentheses.

  -3(9 +2z)

  = -3(9) +(-3)(2z)

  = -27 -6z

Hey there!

-3(9 + 2z)

= -3(9) - 3(2z)

= -27 - 6z

= -6z - 27

Therefore, your answer is: -6z - 27

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

[tex] \tt\huge Answer \to[/tex]

The scale factor from shape A to shape B is 0.75 with w = 5.25 cm.

The size by which the shape is enlarged or reduced is called as its scale factor.

Scale factor from shape A to shape B = [tex]\frac{3}{4}[/tex] = 0.75

It can be calculated by dividing the length of one side of the polygon to the corresponding side of the similar polygon. Keep the length of the side of the original figure in denominator and length of the side of the transformed figure in the numerator.

Calculating w.

[tex]\frac{w}{7} = 0.75\\\\w = 7 * 0.75 = 5.25[/tex]

Learn more about scale factor here

https://brainly.com/question/22312172

#SPJ2

We have that the population standard deviation and  confidence interval is mathematically given as

SD=1

W = 2.8284

a) Generally, normal distribution 95% of the values lies within 2 standard deviations from the mean.

Therefore, we have here:

2*2SD = 51 - 47

2*2SD

SD=1

Hence, the standard deviation is

SD=1

b)

Where,the margin of error is inversely proportional to the square root of sample size.

1 / sqrt{2}

Hence, the new width is

1 / sqrt{2}[tex]1 \ sqrt{2}[/tex]

W = 2.8284

For more information on Width visit

https://brainly.com/question/2096451

Answer:

A: Randomly select 10 freshmen from each of the majors at the university.

Step-by-step explanation:

This is because stratified random sampling is taking a population and dividing them into subpopulations. So, majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different answer and result.

The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.

If the sampling is done from the population randomly, without any other rule, then such sampling is called simple random sampling. Items are selected in a fixed size, all randomly.

The best sampling is simple random sampling, as it is randomly picking data values from the population.

Stratified random sampling it is taking a population and dividing them into subpopulations.

The majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different result.

The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.

Learn more about sampling here:

https://brainly.com/question/9724150

#SPJ2

Answer:

for cd it's 12 I believe fs

Answer:

8p+2 3p-15-2  

                                                                                                         5->-17  

                                                                                                                  p>-17/15

Step-by-step explanation:

there would only be one committee of eight, because there is only 15 boys if you add it up 7 + 8= 15 you do not have enough boys to form more than one committee there will be seven boys left out three of which are perfect