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3 years ago

How do you complete a square

1 answer:

7 0

Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

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A national hockey league rink is 115 feet longer than it is wide. If the perimeter of the rink is 570 feet, find the dimensions

ivolga24 [154]

The length of hockey rink is 200 feet and width of hockey rink is 85 feet.

Step-by-step explanation:

Given,

Perimeter of hockey rink = 570 feet

Width of hockey rink = w

Length of hockey rink = w+115

As a hockey rink is in rectangular shape;

Perimeter of rink = 2(Length + Width)

$570=2(w+115+w)\\570=2(2w+115)\\570=4w+230\\570-230=4w\\340=4w\\4w=340$

Dividing both sides by 4

$\frac{4w}{4}=\frac{340}{4}\\w=85$

Width of hockey rink = 85 feet

Length of hockey rink = 85+115 = 200 feet

The length of hockey rink is 200 feet and width of hockey rink is 85 feet.

Keywords: rectangle, division

Learn more about division at:

#LearnwithBrainly

3 0

3 years ago

How many qt are in a cup

Lubov Fominskaja [6]

There is 0.25 quarts in 1 cup

6 0

3 years ago

Read 2 more answers

What is 5/24+7/24? I need help for 7th grade review!

Digiron [165]

When adding fractions, you only add the numerator if the denominators are the same.

In this case, the answer would be:
$\frac{5+7}{24}$ or $\frac{12}{24}$

Which when simplified is:
$\frac{1}{2}$

3 0

3 years ago

Which is the value of 362 – b when b = 5?

dusya [7]

Hey there! I'm happy to help!

Since b=5, we can replace the b in the expression with 5 and evaluate!

362-5

357

Have a wonderful day! :D

4 0

3 years ago

Read 2 more answers

A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with t

zaharov [31]

Answer:

a. 0.2

b. 0.42

c. 0.7

d. the solution is in the explanation

e. x and y are not independent

Step-by-step explanation:

a. from the joint probability mass function table,

p(x=1) and p(Y= 1)

= p(1,1) = 0.2

b. prob(0,0)+prob(0,1)+prob(1,0)+prob(1,1)

= 0.10 + 0.04 + 0.08 + 0.20

= 0.42

P(X ≤ 1 and Y ≤ 1) = 0.42

c. prob {X ≠ 0 and Y ≠ 0}

= prob(1,1) + prob(1,2) + prob(2,1) + prob(2,2)

= 0.20 + 0.06 + 0.14 + 0.30

= 0.7

d. we have to calculate the marginal pmf of x and y here.

<u>we have the x values as 0,1,</u>2

prob(x=0) = 0.1 + 0.04 + 0.02

= 0.16

prob(x=1) = 0.08 + 0.2 + 0.06

= 0.34

prob(x=2) = 0.06+0.14+0.3

= 0.50

<u>we have y values as 0,1,2</u>

prob(y=0) = .1+.08+.06

= 0.24

prob(y=1) = .04+.2+.14

= 0.38

prob(y = 2) = 0.02+0.06+0.3

= 0.38

P(X ≤ 1) = prob(x=0)+prob(x=1)

= 0.34+0.16

= 0.50

e. from the joint table we have this,

prob(1,1) = 0.2

prob(x=1) = 0.34

prob(y=1) = 0.38

then prob(x=1)*prob(y=1)

= 0.34*0.38

= 0.1292

therefore prob(1,1) is not equal to prob(x=1)*prob(y=1)

0.2≠0.1292

x and y are not independent

7 0

3 years ago