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3 years ago

What is the missing constant term in the perfect square that starts with x^2 - 20x

Mathematics

2 answers:

Andre45 [30]3 years ago

4 0

Answer:

100

Step-by-step explanation:

To make a perfect square trinomial, you want to divide the use the following equation to find the missing constant:

$(\frac{b}{2} )^{2}$ when the quadratic is in standard form.

In this case, we would divide -20 by 2 and square it

-20/2 = -10

(-10)^2 = 100

Leviafan [203]3 years ago

4 0

(a - b)² = a² - 2ab + b²

- 2ab = 20x

- ab = 10x } => b = - 10

a = x

(x - 10)² = x² - 20x + 100

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Give the center and radius of the circle. (x - 5)2 + y2 = 16

olasank [31]

Answer:

Centre: (5,0)

Radius: 4

Step-by-step explanation:

r² = 16

r = 4

7 0

3 years ago

Ik it’s pretty easy but u knowh am not really sure if am right or not

gladu [14]

2,6,18

r = 6/2 = 3

18 *3 = 54

54*3 = 162

162*3=486

Answer: 54,162,486

8 0

3 years ago

Read 2 more answers

Customers who purchase museum tickets in advance receive 10% off the regular admission price. Anias paid a sale price of $54. He

alisha [4.7K]

Answer:

Regular price of a ticket = $60

Step-by-step explanation:

Given:

On purchasing museum tickets in advance customers get 10% off on the regular price of ticket.

Anias paid the sale price of ticket = $54

To find the regular price of ticket.

Solution:

Let the regular price of ticket in dollars be $=x$

Discount offered for booking in advance = 10%

Discount amount in dollars = $Discount\ percent \times Regular\ price=10% \times x =0.10 \times x =0.1x$

Sale price of a ticket in dollars= Regular price - Discount amount= $x-0.1x=0.9x$

Sale price given for a ticket = $54

So, we have:

$0.9x=54$

Dividing both sides by 0.9

$\frac{0.9x}{0.9}=\frac{54}{0.9}$

∴ $x=60$

∴ Regular price of a ticket = $60

6 0

3 years ago

Read 2 more answers

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

kondor19780726 [428]

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that $N = 8 + 10 = 18$

We want 3 boys, so $k = 8$

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that $n = 8$

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323$

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

3 0

3 years ago

The function f(t) = 33 sin (pi over 2t) − 20 models the temperature of a periodic chemical reaction where t represents time in h

Gennadij [26K]

The given function is
$f(t) = 33 sin( \frac{ \pi }{2} t) - 20$
with
t = time, hours
f = temperature, °C

Because the maximum and minimum values for the Sine function are +1 and -1 respectively,
The maximum value of f = 33 - 20 = 13.
The minimum value of f = -33 - 20 = -53.

The period, T, is given by
$\frac{2 \pi }{T} = \frac{ \pi }{2} \\ \\ T=4$

Answer:
Maximum: 13°; Minimum: -53°; period: 4 hours

4 0

3 years ago