Can anyone help please?

Answer:

[tex]x=z-\sqrt{-y} , or, x^2=z^2-y^2\\y=z-\sqrt{-x}, or, y^2=z^2-x^2[/tex]

Step-by-step explanation:

I can't do much except put the Pythagorean theorem in terms of y or x.

All I did was isolate x or y by subtracting the, x or y variable from each side.

[tex]-(y^2)+x^2 +y^2=z^2-(x^2)\\-(y^2)+x^2 +y^2=z^2-(y^2)[/tex]

Which tuns it into:

[tex]x^2=z^2-y^2\\y^2=z^2-x^2[/tex]

And I isolated further by squaring each side, but squaring negative number is difficult and causes imaginary numbers so I just think it should stay as all of them to the power of two.

Answer: 1) 2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784

              2) 2,490,924

              3) Neither

Step-by-step explanation:

[tex]S_n=S_{n-2}\cdot (S_{n-1}-1)\quad \\\\S_1=2\quad given\\S_2=3\quad given\\S_3=S_1(S_2-1)\quad =2(3-1)\quad =4\\S_4=S_2(S_3-1)\quad =3(4-1)\quad =9\\S_5=S_3(S_4-1)\quad =4(9-1)\quad =32\\S_6=S_4(S_5-1)\quad =9(32-1)\quad =279\\S_7=S_5(S_6-1)\quad =32(279-1)\quad =8,896\\S_8=S_6(S_7-1)\quad =279(8896-1)\quad =2,481,705\\S_9=S_7(S_8-1)\quad =8896(2481705-1)\quad =22,077,238,784[/tex]

[tex]\sum^8_{k=1}S_k\\\\=S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8\\\\= 2,490,924\\[/tex]

Neither

Not arithmetic because the difference between each of the terms is not the same.            

                        S₂ - S₁          S₃ - S₂           S₄ - S₃      

                      3 - 2 = 1       4 - 3 = 1          9 - 4 = 5

Not geometric because the ratios between each of the terms is not the same.                

                       [tex]\dfrac{S_2}{S_1}=\dfrac{S_3}{S_2}\qquad \rightarrow \dfrac{3}{2}=\dfrac{4}{3}\qquad \rightarrow \text{cross multiply to get}: 9\neq 8[/tex]

Answer:

Step-by-step explanation:

First one is 7, since there is a minus sign by k, shifting the line 0.5x seven units down

the second one is too confusing due to spacing to find the answer

Answer:

the person that answer is correct

Step-by-step explanation:

Answer:

Option (2).

Step-by-step explanation:

Let f(x) and g(x) are the two functions with domain A and B.

Then (fg)(x) will be the function with domain A∩B

(fg)(x) = f(x)g(x)   Domain : A∩B

In this question two functions are,

c(x) = [tex]\frac{5}{(x-2)}[/tex] and d(x) = (x + 3)

Domain : (x - 2) > 0 ⇒ x > 2

              and (x - 2) < 0 ⇒ x < 2

Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).

Similarly, d(x) = x + 3

Domain : All real numbers

             : D = (-∞, ∞)

(cd)(x) = c(x)d(x)

          = [tex]\frac{5}{(x-2)}\times (x+3)[/tex]

Domain of (cd)(x) will be,

Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)

             : (-∞, 2) ∩ (2, ∞)

Therefore, domain of (cd)(x) will be all real values except 2.

Option (2) will be the answer.

Answer:

16 millimeters

Step-by-step explanation:

Now:

Volume of a Prism=Base Area X Prism Length

Since we have a triangular base:

Volume of the Prism=(0.5 X Base X Height) X Prism Length

Substituting the given values, we obtain:

416=(0.5 X 13 X Height) X 4

416=26 X Height

Divide both sides by 26

Height of its triangular face=16 millimeters

Answer:

h = 16 mm

Step-by-step explanation:

Th volume of the prism is:

[tex] V = A*l [/tex] (1)

Where:

V. is the volume of the triangular prism = 416 mm³

A. is the area of the prism = ?

l: is the large of the prism = 4 mm

The area of the triangular face of the prism is:

[tex] A = \frac{1}{2}bh [/tex]  (2)

Where:

b: is the base of the triangular face = 13 mm

h: is the height of the triangular face = ?

From equation (1) we have:

[tex] V = A*l [/tex]

[tex] A = \frac{V}{l} = \frac{416 mm^{3}}{4 mm} = 104 mm^{2} [/tex]

Now, using equation (2) we can find the height of the triangular face:

[tex] A = \frac{1}{2}bh [/tex]

[tex] h = \frac{2A}{b} = \frac{2*104 mm^{2}}{13 mm} = 16 mm [/tex]

Therefore, the height of the triangular face is 16 mm.

I hope it helps you!

Answer:

2(n²)+5n-3

Step-by-step explanation:

4,15,30,49,72,99,130

1st you find the difference between the numbers: (e.g. difference between 4 and 15 is 11)     11,15,19,23,27,31 Then you find the second difference between them.     4,4,4,4,4,4

If you divide the second difference by 2, you will get the value of a. 4 ÷ 2 = 2

So the first term of the nth term is 2n²

Then you have to do what do you do to get from 2n² to 4,15,30,49,72,99,130

Answer:

Step-by-step explanation:

Just plug in 6 as x.

[tex]f(6)=2(6)^2+\sqrt{5} *(6-2) \\or\\f(6)=2(6)^2+\sqrt{5(6-2)}[/tex]

Depending on how the equation is written (I got confused so I gave both answers of what I thought both versions were) this is the answer.

[tex]72+4\sqrt{5} =2(6)^2+\sqrt{5} *(6-2) \\or\\72+2\sqrt{5} =2(6)^2+\sqrt{5(6-2)}[/tex]

Horizontal translation: 2 units right.

Vertical translation: 5 units up

Stretch/compression: stretched by a factor of 3.

Reflection: not reflected.

Answer:  12.56 / 4 = 3.1416 =9.4248

Step-by-step explanation: pi by the 2 squared gives u the area of all the circle but u need to fin 3/4 of the circle so divide by 4 and the result of the dividion x 3 gives u the answer

Answer:

Six over Seven

Step-by-step explanation:

Answer:

six sevenths

Step-by-step explanation:

6/7 in words is six sevenths

Answer:

2(x+4y)

Step-by-step explanation:

The greatest common factor would be 2. So 2/2 is 1 and then 8/2 is 4. Now if we plug back the variables, you should get 1x and 4y. To put it in distributive property, just put the greatest common factor outside and the variables inside. inside. That's your answer! Hope this helped and have a great dayyyyy!!!!

Answer: See the explanation to understand.

Step-by-step explanation:

Well first off you have to understand the area concept. The area is shown on the grid clearly fir the square, 4cm (2x2). Now it might be a little tricky for the triangle but don’t worry, take it slowly, count the areas of the base of the triangle, the correct answer for that is 2cm so the base of the triangle is 2cm. Now go to highest point of the triangle and count down all the way to the base. The number you should get is 4. So now we know that the base is 2cm and the height is 4cm. Using the triangle Area formula which is base times height divided by two: bh/2 , substituting the values we have 2x4 is 8. 8 divided by two is 4cm. Now we know that the areas are the same by checking using the formula.

Hope this makes sense!

Answer:

y = mx + b equals y = the slope of the line(x) + the y-intercept

First find the slope of the line using rise/run, which is 12/-2 so the slope is -6

To find the y-intercept, you need to look for the point where x = 0 (or the point that lies on the y-axis), which is when y = -4 so the equation is:

y = -6x - 4

Answer:

y= -1/2x +9

Step-by-step explanation:

The line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have two points (2, 8) and (8, 5)

To find the line of best fit using these two points:

[tex]\rm (y-y_1)=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]\rm (y-8)=\frac{5-8}{8-2} (x-2)[/tex]

[tex]\rm (y-8)=-\frac{3}{6} (x-2)\\\\\rm (y-8)=-\frac{1}{2} (x-2)[/tex]

[tex]\rm y = - \frac{1}{2} x +9[/tex]

Thus, the line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

(-8,7)

Step-by-step explanation:

5x+9y=23

-2x+y=23

 Step 1. When looking at the equation you need to find out what method you must use and a good way to find out if you use subtraction is to look for a variable of 1

just like -2x+y=23 has the variable 1y

 Step 2. solve for y in the second equation

-2x+y=23

+2x       +2x

y=2x+23

Step 3. rewrite your equation

5x+9y=23

y=2x+23

 Step 4. replace your y variable with the expression you just made

5x+9(2x+23)=23

Step 5. Distribute the 9 and solve

5x+18x+207=23

23x+207=23

23x=-184

x=-8

Step 6. enter your x value into the equation you solved in step one

y=2(-8)+23

y=-16+23

y=7

Step 7. determine if consistent or inconsistent

Because you have a x and y you have an consistent

...you can also graph it

Answer:

(-5,4)

Step-by-step explanation:

A: (5,4)

Reflect it across the y axis would mean you negate the x value

So if you reflect it across the y axis, 5 would become -5

Answer:

B

(-5,4)

Step-by-step explanation:

square 1 (+,+) square 2 (-,+) square 3 (-,-) square 4 (+,-) Find the coordinates is (5,4) but reflect the y-axis so it goes to square 2 where the x-axis turns in to a negative

Answer:

8/20

Step-by-step explanation

boys left handed=3

boys right handed=9

girls left handed=2

girls right handed=6

what is the probability that a student chosen from random is a girl? give answer as a fraction please and include step by step process

girls left handed: 2

girls right handed: 6

6+2=8

total all students 20

8/20

Answer:

A

Step-by-step explanation:

since the radius is 12, the most the circle expands out towards is 15 for x and 15 for y. (-6,-5) easily fits inside it.

Answer:

5 1/2 cups

Step-by-step explanation:

1 pint = 2 cups

(2 1/2)(2) = 5

5 + 1/2 = 5 1/2

Answer: A proper subset is one that contains few elements of the original set whereas an improper subset, contains every element of the original set along with the null set.

Answer:77

Step-by-step explanation:

6*12+5

72+5

77

the answer is simply 77

Answer:

11

Step-by-step explanation:

Since the y coordinates are the same, the distance is the values between the x coordinates

6 - -5

6+5

11

The right answer is 11 units.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

Answer:

x= -8    x=2

Step-by-step explanation:

x^2 +6x-6= 10

Subtract 10 from each side

x^2 +6x-6-10= 10-10

x^2 +6x-16 = 0

What 2 number multiply to -16 and add to 6

8 * -2 = -16

8 -2 = 6

(x+8) (x-2)=0

Using the zero product property

x+8=0  x-2=0

x= -8    x=2

Answer:D

Step-by-step explanation:

Answer:

it is worked out that if 5 ladles full soup are given to each person 300 at a time

Answer:

90 people

Step-by-step explanation:

Let's find the total number of ladels of soup.

1 person ----- 3 ladles

150 people ----- 3 ×150= 450 ladles

The amount of soup cooked does not change. Since now more soup is given to each person, the number of customers fed would decrease.

Number of people fed

= 450 ÷5

= 90

Answer:

A. 0

Step-by-step explanation:

y= mx+b

with same slope, m= same for both

if b  is different, then the lines are parallel

so no solution, option A. 0

Answer:

[tex]3.1[/tex]

Step-by-step explanation:

Range = biggest no. - smallest no.

Range = [tex]6.3-3.2[/tex]

Range = [tex]3.1[/tex]

Answer:

3.1

Step-by-step explanation:

Range is the difference between the highest and the least number in a set.

Out of all the numbers given, 6.3 is the highest and 3.2 is the least. When, I found the difference of those two numbers, the difference was 3.1. :)

Answer:

0.6     is the answer

Step-by-step explanation:

Answer:

[tex]3[/tex] Miles

Step-by-step explanation:

[tex]1.8^2+2.4^2=c^2[/tex]

[tex]9=c^2[/tex]

[tex]9-c^2=c^2-c^2[/tex]

[tex]-c^2+9=0[/tex]

[tex]-c^2+9-9=0-9[/tex]

[tex]-c^2=-9[/tex]

[tex]\frac{-c^2}{-1} = \frac{-9}{-1}[/tex]

[tex]c^2=9[/tex]

[tex]c=+\sqrt{9}[/tex]

[tex]c=3[/tex]