if x = y and y=z which statement is true?

Step-by-step explanation:

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.

Perimeter of rectangle (3 sides)= 60 feet

Let 'x' be the width of the wall

[tex]Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x[/tex]

Formula for the area of the rectangle is

[tex]Area=length \cdot width\\A=length(x)[/tex]

Replace the length we got using perimeter

[tex]A=(30-x)(x)\\A(x)= 30x-x^2[/tex]

To find out the maximum are we take derivative

[tex]A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15[/tex]

find out second derivative to check whether x=15 is maximum

[tex]A''(x)=-2[/tex]

second derivative is negative

So, Maximum area at x=15

To find maximum area we plug in 15 for x in A(x)

[tex]A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225[/tex]

So, maximum area is 225 square feet

Answer:

-14

Step-by-step explanation:

the pattern is y+5=x, x-10=z

so,

1(+5)=6

6(-10)=-4

-4(+5)=1

1(-10)=-9

-9(+5)=-4

Answer:

B is the answer  ppl  Answer B  hope it help you all ^U^

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

cause i said so have a problem call my lawyer......

Answer:

-15

I hope this helped! :)

Answer:

u r girl

khdlhdohdkhdohdohdlgdogdkgdkgdkgskgdkgskgskydoysoydoydoydoydoydlydoydoydoydpydoydpyd

Answer:(

(1,0),(-3,0)

Step-by-step explanation:

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

Answer:

did you post anything on this I see nothing?

Answer: the answer should be 99.5

Answer:

1 st car is your answer to the question

Answer:

1/4, 5/16, 1/2, 5/8, 3/4

Step-by-step explanation:

Answer:

1/2 1/4 3/4 5/8 5/16 this is the right answer s

Answer:

6cm

Step-by-step explanation:

Area of a square =

[tex]s^2[/tex]

Where s = one side

s = ?

[tex]A = s^2\\\\36 =s^2[/tex]

Square root both sides

[tex]\sqrt{36} = \sqrt{s^2} \\\\6 =s[/tex]

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

Answer:

Step-by-step explanation:

What is the answer tho

Answer:

2 x 10^9

Step-by-step explanation:

There 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

We have to determine 8 × 10⁴ is how many times as large as 4 × 10⁻⁵

Apply the division operation to get

⇒ 8 × 10⁴ ÷  4 × 10⁻⁵

⇒ (8 × 10⁴) /  (4 × 10⁻⁵)

Reduce the term of the numerator

⇒ ( 10⁴) / (10⁻⁵)

⇒ ( 10⁴) × (10⁵)

⇒ ( 10⁴⁺⁵)

⇒ 10⁹

Hence, there 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Answer:

undefined

Step-by-step explanation

it is a vertical line and has no defined slope

Answer:

q = 3.5

Step-by-step explanation:

-15 = 5(3q - 10) - 5q

-15 = (5*3q + 5*-10) - 5q

-15 = 15q - 50 - 5q

-15 + 50 = 15q - 5q

35 = 10q

q = 35/10

q = 3.5

Check:

-15 = 5(3*3.5 - 10) - 5*3.5

-15 = 5(10.5 - 10) - 17.5

-15 = 5*0.5 - 17.5

-15 = 2.5 - 17.5

Such a ray that divides an angle into two equal angles is called an angle bisector.

Likewise, two rays that divide an angle into three congruent angles are called angle trisectors. Figure %:

An angle bisected and trisected On the left, angle ABC is bisected by the ray BD.

Credits to google.

In short, no.

Answer:

Step-by-step explanation:

The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...

  65 -3x

The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...

  55 -2.5x

The equation that can be used to find x that makes the values equal is ...

  65 -3x = 55 -2.5x

__

The solution can be found by adding 3x-55 to both sides of this equation.

  10 = 0.5x

Multiplying by 2 gives ...

  20 = x

After 20 30-day periods. the cards will have the same value.

__

The value after 20 periods is ...

  65 -3×20 = 65 -60 = 5

Both cards will have a value of $5 when they have the same value.

Answer:

Yes that is correct

Answer:

g(x) = |1/3x|

Step-by-step explanation:

f(x) = |x|

y = f(Cx) 0 < C < 1 stretches it in the x-direction

g(x) = |1/3x|

We can start with: f(x) = |x|

0 < c < 1 means x-direction stretch

y = f(cx)

3 unit horizontal stretch

After: g(x) = |1/3x|

Best of Luck!

he can make like nine batches so ya ya ya ya ya Step-by-step explanation:

Answer: x=1991/10

Step-by-step explanation: Step 1: Simplify both sides of the equation.

9x+10=2001−x

9x+10=2001+−x

9x+10=−x+2001

Step 2: Add x to both sides.

9x+10+x=−x+2001+x

10x+10=2001

Step 3: Subtract 10 from both sides.

10x+10−10=2001−10

10x=1991

Step 4: Divide both sides by 10.

10x

10

=

1991

10

x=

1991

10

Answer:x=199.1

Step-by-step explanation:

Answer:

-4 is the first,-64 is the second,0/14, 1.2,2/3,25/11,4,25

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x + y = 11

5x - y = 21

8x = 32

x = 4

3(4) + y = 11

12 + y = 11

y = -1

(4, -1)

Step-by-step explanation:

C = 25p

p = number of people

C = Total cost of admission

For 4 people, Total cost is

C = 25 × 4 = 100 dollars

Answer: 12x10x11 I think so 1320

Step-by-step explanation: