What are the slope and y-intercept of this function? A. The slope is 4. The 9y-intercept is (0,3). B. The slope is -1/4.The y-intercept is (0,3). C. The slope is 1/4 .The y-intercept is (0,3). D. The slope is 4 .The y-intercept is (3, 0).​

Answer:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

Step-by-step explanation:

The distance around the track (400 m) has two parts:  one is the circumference of the circle and the other is twice the length of the rectangle.

Let L represent the length of the rectangle, and R the radius of one of the circular ends.  Then the length of the track (the distance around it) is:

Total = circumference of the circle + twice the length of the rectangle, or

         =                    2πR                    + 2L    = 400 (meters)  

This equation is a 'constraint.'  It simplifies to πR + L = 400.  This equation can be solved for R if we wish to find L first, or for L if we wish to find R first.  Solving for L, we get L = 400 - πR.

We wish to maximize the area of the rectangular region.  That area is represented by A = L·W, which is equivalent here to A = L·2R = 2RL.  We are to maximize this area by finding the correct R and L values.

We have already solved the constraint equation for L:  L = 400 - πR.  We can substitute this 400 - πR for L in

the area formula given above:    A = L·2R = 2RL = 2R)(400 - πR).  This product has the form of a quadratic:  A = 800R - 2πR².  Because the coefficient of R² is negative, the graph of this parabola opens down.  We need to find the vertex of this parabola to obtain the value of R that maximizes the area of the rectangle:        

                                                                   -b ± √(b² - 4ac)

Using the quadratic formula, we get R = ------------------------

                                                                            2a

                                                   -800 ± √(6400 - 4(0))           -1600

or, in this particular case, R = ------------------------------------- = ---------------

                                                        2(-2π)

            -800

or R = ----------- = 200/π

            -4π

and so L = 400 - πR (see work done above)

These are the dimensions that result in max area of the rectangle:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

Answer:

Mention the drawing if you want an answer !!! How are we supposed to answer this question without the drawing the question is referring to ?????

Answer:

Yes

Step-by-step explanation:

Again substitute the values in and see if they give the same value or not

Hello! :)

√99=9.95...

π²=9.9

9.8888...

So I think the numbers should be written like this:

9.8888, √99, π²

Hope it helps!

~Just a determined gal

[tex]MysteriousNature[/tex]

Answer:

Negative reciprocals

triangle JKL is congruent to triangle TRS

Answer:

p^2-4p-21=0

Step-by-step explanation:

Where you see (x^2 + 6) you put in p.

p 2  - 21 = 4 ( x 2 + 6 )

p 2 - 21 = 4p

p 2 - 4p - 21 = 0

:)

The sides for which a triangle is not possible are 19 m, 34 m, 15 m. The correct option is (c).

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

The given options are considered one by one

(a) 5 m, 6 m, 8 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 8.

Since 5 + 6 > 8, the given sides can form a triangle.

(b) 10 m, 10 m, 2 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 10.

Since 10 + 2 > 10, the given sides can form a triangle.

(c) 19 m, 34 m, 15 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 34.

Since 19 + 15 = 34, the given sides cannot form a triangle.

(d) 3 m, 16 m, 14 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 16.

Since 14 + 3 > 16, the given sides can form a triangle.

Hence, the sides that cannot form a triangle are 19 m, 34 m, 15 m.

To know more about triangle click on,

https://brainly.com/question/2773823

#SPJ2

Answer:

x= 32 i think

CD= 51

Step-by-step explanation:

Answer:

9x-15=7x-1. => 2x=14 x=7

CD= 7×7-1=48

Answer:

Are the following two logical statements equivalent?

p

∨

q

q

∨

p

Answer:

chu papi

Step-by-step explanation:

Step-by-step explanation:

nasa picture po yunv sagot

#HOPE IT HELPS

Answer: C is the correct answer

Step-by-step explanation:

Answer:

m∠E=57°

Step-by-step explanation:

∠FDE=∠FED=(4x+1)° (base angles of isos triangle)

2(4x+1)+(5x-4)=180 (angle sum of triangle)

    8x+2+5x-4=180

             13x-2=180

                 13x=180+2

                       =182

                     x=182÷13

                       =14

Hence, m∠E = (4x+1)°

                     = [4(14)+1]°

                     = (56+1)°

                     = 57°

Answer:

m∠E=57º

Step-by-step explanation:

All angles in a triangle add up to 180º.

The triangle given is an isosceles triangle.

(4x+1)+(4x+1)+(5x-4)=180

Remove parentheses.

4x+1+4x+1+5x-4=180

Collect like terms.

13x+1+1-4=180

Add and subtract.

13x-2=180

Add 2 from both sides of the equation.

13x=182

Divide 13 from both sides of the equation.

x=14

m∠E=(4x+1)º

4x14+1=57º

m∠E=57º

Hope this helps :)

Answer: 9 (7 + 9)

Step-by-step explanation:

63 = 9 * 7 and 81 = 9 * 9

Answer:

Hmmm, maybe this?

Step-by-step explanation:

Answer:

Mean x¯ 8.3333333333333

Median x˜ 9

Mode 9

Step-by-step explanation: if 8.3 dosent work just round it

9514 1404 393

Answer:

  (b)  5.66 mi

Step-by-step explanation:

You only need to eliminate the unreasonable answers to make the correct choice.

The hypotenuse of the right triangle is its longest side, so the unknown length must be less than 6. That eliminates the last two choices.

The unknown length cannot be less than the difference of the sides shown, so the unknown length must be more than 4. That eliminates the first choice.

The only reasonable choice is ...

  B.  5.66 miles

_____

If you like, you can calculate the distance using the Pythagorean theorem.

  AB² + 2² = 6²

  AB = √(36 -4) = √32 ≈ 5.66 . . . miles

Answer:

160%

Step-by-step explanation:

Multiply both numerator and denominator by 100. 1.6 × 100100.

= (1.6 × 100) × 1100 = 160100.

Write in percentage notation: 160%

Answer:

22.3<x<27.6

Step-by-step explanation:

X=greater than a number but less than another

22.3<27.6

Knowing that we can place 27.6 to the right of x and 22.3 to the left.

Hope this helps :)

Answer:

[tex]4.3<x<50.9[/tex]

Step-by-step explanation:

To find our Inequality sentence we have to add the largest number with the smaller much

[tex]27.6+23.3=50.9[/tex]

To find the second part of our inequality sentence we have to subtract the larger number from the smaller number

[tex]27.6-23.3=4.3[/tex]

Our inequality sentence is               [tex]4.3<x<50.9[/tex]

Brainliest please

Answer: $265

Step-by-step explanation: Fran has a monthly income of $2940, and she budgets 9% of it for groceries. 9% of $2940 is $265 dollars.

Hope this helps!

Answer:

15.625

Step-by-step explanation:

Answer:

[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)² = (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute both parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

Answer:

Incorrect

Step-by-step explanation:

Average rate of change is

(65 - 67) / (5:00 - 1:00)  = -½°/hr

Answer:

Step-by-step explanation: