Solve this problem y=(x-3)^2 when x=9

A square-shaped park has an area of 324 yd2. What are the dimensions of the park?

Tpy6a [65]

Answer:

18 yards

Step-by-step explanation:

$\sqrt{324}$ = 18

5 0

3 years ago

Read 2 more answers

In a recent student body election, Adam received 40 more than 40% of the votes. Brigitte received 40 less

Airida [17]

The total vote cast was 700.

The winner was Adam (received 320 votes)

Why?

To solve the problem, we need to make equations to express the number of votes received for each of the candidates.

Solving we have:

Let be "v" the total vote cast,

For Adam,

$A=40+0.4*v$

For Brigitte,

$B=0.5(40+0.4v)-40$

$B=20+0.2v-40$

$B=0.2v-20$

For Carl,

$C=20+0.5*B$

$C=20+0.5*(0.2v-20)$

$C=10+0.1v$

For Diane,

$D=180votes$

Now, the total vote cast will be:

$v=A+B+C+D\\\\v=(40+0.4v)+(0.2v-20)+(10+0.1v)+180\\\\v=(40-20+10+180)+(0.4v+0.2v+0.1v)$

$v=210+0.7v\\\\v-0.7v=210\\\\v=\frac{210}{0.3}=700$

Now, substituting "v" in each equation to calculate the number of votes for each candidate, we have:

$Adam=40+0.4*700=320votes\\Brigitte=0.2*700-20=120votes\\Carl=10+0.1*700=80votes\\Diane=180votes$

Hence, we have that the total vote cast was 700, and the winner was Adam (received 320 votes)

Have a nice day!

7 0

3 years ago

A circle is centered at (5, -9) and has a radius of 12. What is the equation for this circle

WINSTONCH [101]

(x - 5)² + (y + 9)² = 144

3 0

3 years ago

How do you take notes in math? I am struggling on math and I don't know how to take notes in math. ASAP! Please! I know how to t

Delvig [45]

Answer:

Step-by-step explanation:

1) Calm down, your motivated and determined so you will do awesome!

2) write the date AND the chapter the notes are from

3) Write down EVERYTHING even the stuff your teacher says that you dont need to write down

4) use a highlighter or underline important info, your brain cant memorize everything!

5) draw pictures! math is all about visualization

6) if your teacher is teaching a new concept he/she will definetly give you some examples to write down, make up your own examples and solve them to go beyond

7) abbreviate, teachers talk pretty fast so you may struggle to get everything down, if you abbreviate writing will be faster, just dont forget to make a key for your abbreviations so that you dont forget!

8) ask for help!- the most effective tool in the shelf

9) go online and search up worksheets to do

10) write down in you notebook each step you need to take in order to get the answer.

11) Hope this helps! and good luck!

6 0

3 years ago

What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?

Sergeu [11.5K]

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0

3 years ago

Solve this problem y=(x-3)^2 when x=9​

Solve this problem y=(x-3)^2 when x=9