The perimeter of a rectangular field is 354m.
If the width of the field is 81m , what is its length?

The upper part of the x-axis is a quadratic function and the equation of the upper part is: y = 4 - x^2; -2 < x < 2

The equations are given as:

y = x^2 - 4

y = 4 - x^2

When these equations are plotted, the upper part of the x-axis is a quadratic function that has the following properties:

Zeros = -2 and 2

Because the upper x-axis is open upwards, the equation of the graph is:

y = -(x - zeros)

So, we have:

y - (x - 2)(x + 2)

Evaluate

y = 4 - x^2

Hence, the equation of the upper part is:

y = 4 - x^2; -2 < x < 2

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Answer: true

Step-by-step explanation: The answer is true. As a linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.

Answer:

true

Step-by-step explanation:

Answer:

_48x +32

Step-by-step explanation:

_(16*3x_16*2)

_(48x_32)

_48*+32

Answer:

charlie brown chicken sandwich

Step-by-step explanation:

Answer:

$875

Step-by-step explanation:

Jill was given $175 and her mother was given 5 times the amount.

Multiply 175 and 5.

Answer:

Below.

Step-by-step explanation:

I can do this using calculus but the algebra will be a bit messy.

Let the 2 equal sides of isosceles triangle be x and the base be y units long.

Then perimeter p = 2x + y.

Area A = 0.5yh  where h is the altitude of the triangle.

h =  sqrt [x^2 - (0.5y)^2]

=  [x^2 - (0.5y)^2]^0.5

So A = 0.5y * [x^2 - (0.5y)^2]^0.5

From the perimeter formula y = p - 2x so:

A = 0.5(p-2x) * [x^2 - (0.5(p-2x)^2]^0.5

A = 0.5(p-2x) * [x^2 - 0.25(p^2 - 4xp + 4x^2)]^0.5

A = 0.5(p-2x) * [x^2 - 0.25p^2 + xp - x^2]^0.5

A = (0.5p-x) * [xp - 0.25p^2]^0.5

We now find the derivative and equate it to zero to find the value of x which corresponds to a maximum area.

We use the product rule:

dA/dx =   (0.5p-x)* 0.5(xp - 0.25p^2)^(-0.5) * p  - 1(xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 -  (xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 =  (xp - 0.25p^2)^0.5

Now multiplying though by (2((xp - 0.25p^2)^0.5 :-

p(0.5p - x) = 2 (xp - 0.25p^2)

0.5p^2 - px = 2px - 0.5p^2

p^2 = 3px

x = p^2/3p = p/3

So for a maximum value of the area x = p/3.

But y = p - 2x

         = p - 2(p/3)

          = p -  2/3p

           = p/3

- but we've just shown that x = p/3

That means that x = y and the triangle is Equilateral.

Answer:

π^8

Step-by-step explanation:

π^30/π^22= π^8

Answer:

mean: 68

median: 76.5

mode: 23, 95

range: 93

Step-by-step explanation:

Put numbers in order:

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

mean: sum of the terms / number of terms

sum of the terms: 17 + 23 + 23 + 64 + 67 + 86 + 95 + 95 + 100 + 110 = 680

number of terms: 10

680 / 10 = 68

median: number of terms / 2

10 / 2 = 5, 5th number on the list

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

between 67 and 86 since its an even number data set

67 + 86 / 2 = 76.5

mode: the most occurring number

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

- 17, 64, 67, 86, 100, 110 has 1 each

- 23 has 2

- 95 has 2

23 and 95 have the same reoccurring amount

range: max - min numbers

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

110 - 17 = 93

NO outliers

Hope this helps you a little more for your last day of finishing hmw :)

Let me know if you need anymore help !

OR have questions

Answer:

672

[tex]A_L = (a+b+c)h = (12+10+20)*16 = 672[/tex]

Answer:

22 pounds of watermelon

Step-by-step explanation:

First find cost per pound
19.60/8=2.45
$2.45 per pound
Then divide $53.90 by $2.45 to determine how many pounds you can buy
53.90/2.45=22
22 pounds of watermelon

The equation of the asymptote of the hyperbola is y = 3x + 10

From the complete question the asymptote passes through the points:

(x,y) = (-1, 7) and (-3,1)

The slope of the line is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{7 - 1}{-1 + 3}[/tex]

This gives

m = 3

The equation is then calculated using:

y = m(x -x1) + y1

This gives

y = 3(x + 1) + 7

Evaluate

y = 3x + 3 + 7

y = 3x + 10

Hence, the equation of the asymptote is y = 3x + 10

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Answer:1.  72.5

Step-by-step explanation: in number one you add so is equal to 0.2 ÷ 14.5

number to we put 1÷25(42,000) so is equal to 1680 the we substract 42000-1680=40,320

Answer:

line

Step-by-step explanation:

quizlet

cliffnotes

Answer:

60

Step-by-step explanation:

lets say the number is X so:

X-3/4X=15

then multiple both sides by 4 then you will get

4X-3X=60

SO:X=60

Answer:

Step-by-step explanation:

let x be the number that we are trying to figure out.

the statement “The difference between a number and three fourths of itself is 15”  means  x + (3/4)x = 15

then

(1/4)x = 15

Then

x = 4 × 15

Then

x = 60

Answer:

[tex]\frac{3}{y^{2} }[/tex]

Step-by-step explanation:

This question is asking you to simplify using the law of indices:

Just to write out the question in fraction form:

[tex]\frac{12y^{7} }{4y^{9} }[/tex]

Cancel out the 4:

[tex]\frac{3y^{7} }{y^{9} }[/tex]

Cancel out y^7:

[tex]\frac{3}{y^{2} }[/tex]

Hope this helped and brainliest please

Answer:

3/y^2

Step-by-step explanation:

1. Rewrite the division as a fraction.

= 12y^7/4y^9

2. Cancel the common factor of 12 and 4

= 4(3y^7)/4y^9

= 3y^7/y^9

3. Cancel the common factor of y^7 and y^9

= y^7 ⋅ 3/y^9

= 3/y^2

Answer:

12 inches.

Step-by-step explanation:

You have to use the pythagorean formula. The measurements you stated form a right angle. Therefore, a^2 + b^2 = c^2. In this equation, we know c=13, and b=5. So therefore c^2 - b^2 = 144. We have to solve for a, so square root 144 to get 12.

Answer:12 in

Step-by-step explanation:

Answer:

A. 27 ft^3

Step-by-step explanation:

cube root of 729 is

9

1/3 of 9 is

3

volume of a cube with an edge of 3 is

3^3 =

27

Answer:

9. 21

10. QP, 8, 18

Step-by-step explanation:

9.

2(4x-65) = 2x-4

6x = 65*2-4 = 126

x = 21

10.

a. QP

b. 8

c. 18

Answer:

16

(14-6)×2=16 So initially Emma had 16 books.

maybe 1375 cubic feet of water will take to fill the well

Answer:

23.33

Step-by-step explanation:

The sum of the internal angles of a triangle is 180°, which is given by The Angle Sum Property of Triangles.

⇒ 3x - 17 + 2x + 5 + x + 52 = 180

⇒ 6x + 40 = 180

⇒ 6x = 140

⇒ x = 140/6

⇒ x = 70/3

⇒ x = 23.33

Answer: x = 23.333

In any triangle, all the three angles will ALWAYS add up to 180°. According to that:

▪ 180° = <a + <b + <c

(2x + 5) + (3x - 17) + (x + 52) = 180

2x + 5 + 3x - 17 + x + 52 = 180

Rearrange according to like terms

2x + 3x + x + 52 - 17 + 5 = 180

6x + 40 = 180

Now we'll find the value of x

6x = 180 - 40

x = 140/6

By cross cancellation we get

x = 70/3

You could change it into decimal as well

x = 23.333 answer

therefore, the third option that says 23.33 is correct.

Hope that helps...

Answer:

11.2

Step-by-step explanation:

Answer:

-1331

Step-by-step explanation:

Just ask. :)

Answer:

Volume = 12 ft^3

Step-by-step explanation:

Vol = length×width×height

= 3×4×1

= 12

The volume is 12 cubic feet.

Answer:

Step-by-step explanation:

3 ten-thousands:

41 thousands:

45 hundreds:

49 tens:

8 ones:

Add them all up:

See below for the proof of the equation 4h² - 4dh + x² = 0 using the Pythagoras theorem

The Pythagoras theorem states that:

Hypotenuse² = Opposite² + Adjacent²

The question is incomplete, as the figure is not given.

So, I will complete the proof using the following parameters:

Substitute the above values in the following equation

Hypotenuse² = Opposite² + Adjacent²

So, we have:

(2√dh)² = x² + (2h)²

Evaluate the exponents

4dh = x² + 4h²

Subtract 4dh from both sides

0 = x² + 4h² - 4dh

Rewrite as:

4h² - 4dh + x² = 0

Hence, the equation has been proved

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Answer:

3x + 12

Step-by-step explanation:

This is an 'expression'  ...there is no 'answer'  but it can be re-arranged

3(x+4) =   3 * x  +  3 * 4 =   3x + 12

Hey there!

3(x + 4)

= 3(1x + 4)

DISTRIBUTE 3 WITHIN the PARENTHESES

= 3(1x) + 3(4)

= 3(x) + 3(4)

= 3x + 12

Therefore, the answer should be:

3x + 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

6 full teams will be made.

If you take 62 and divide it by 9, you'll get a value of 6.88... or it can also be notated as 6 remainder 8. You will be able to make 6 full teams but your last team will only have 8 members, which does not have the full 9 members.

Answer:

Step-by-step explanation:

      The expanded value of n! is (n) * (n - 1) * (n - 2) until we reach one.

      Given:

4! - ((11-2)!) / 8!)

      Rewrite:

[tex]\displaystyle 4! - \frac{(11-2)!}{8!}[/tex]

      Subtract:

[tex]\displaystyle 4! - \frac{9!}{8!}[/tex]

      Expand:

[tex]\displaystyle 4*3*2*1 - \frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1}[/tex]

      Cancel out values that equal one in the fraction:

[tex]\displaystyle 4*3*2*1 - \frac{9}{1}[/tex]

      Multiply:

[tex]\displaystyle 24 - \frac{9}{1}[/tex]

      Simplify:

24 - 9

      Subtract:

15