1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tasya [4]
3 years ago
14

If a² + b² = z and ab = y, which of the following is equivalent to 4z + 8y? Show all the steps.

Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0

Answer:A

Step-by-step explanation:

Ivenika [448]3 years ago
7 0

Answer:

The answer to your question is:       (2a + 2b)²

Step-by-step explanation:

a² + b² = z

ab = y

Which is equivalent to 4z + 8y ?

Substitution

                                     4(a² + b²) + 8(ab)

Simplify                        4a² + 4b² + 8ab

Order                            4a² + 8ab + 4b²       It's a perfect square trynomial

Factorize                     (2a + 2b)²

You might be interested in
A rectangle has a perimeter of 71.8 yards and a height of 3.3 yards. What is the length of the base?
Studentka2010 [4]

The length of the base is 32.6

3.3 + 3.3 = 6.6

Subtract 6.6 from 71.8 : 65.2

Divide that by 2 : 32.6

7 0
3 years ago
Read 2 more answers
The legend on a map states that 1 cm is 25 km. If you measure 8 cm on the map, how many kilometers would the actual distance be?
Dmitry [639]

Answer:

200km

Step-by-step explanation:

<u>Given </u>

1cm = 25 km 8cm =?

<u>Solve</u>

if 1cm = 25,

then multiply 8 cm by 25.

Which is 200 km

7 0
3 years ago
​In a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at rand
mel-nik [20]

Answer:

Step-by-step explanation:

Given that in a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement.

In 800 adults 199 are favourable and remaining 601 are against.

a) The probability that both adults think most celebrities are good role models is ________= Prob of selecting both from 199

= \frac{199C2}{800C2} \\=0.0616

=0.062

b) The probability that neither adult thinks most celebrities are good role models is _______=P(both selecting from 601)

=  \frac{601C2}{800C2} \\=0.5641

=0.564

c) The probability that at least one of the two adults thinks most celebrities are good role models ______

=1-Prob that neither thinks

= 1- 0.564

= 0.436

6 0
3 years ago
2. Kerry has a $1,973-per-month mortgage payment. He decides to refinance his $204,000 balance at 5% over 20 years. What's his n
klemol [59]

The formula for the amount of a monthly payment A on principal amount P at interest rate i loaned for t years is given by

... A = P(i/12)/(1 -(1 +i/12)^(-12t))

Filling in the given values, this is

... A = $204000(.05/12)/(1 -(1 +.05/12)^(-12·20)) ≈ $1346.31

5 0
3 years ago
Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found t
Wittaler [7]

Answer:

a=30 +1.04*8=38.32

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.  

C) 38.32

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the waiting time in minutes of a population, and for this case we know the distribution for X is given by:

X \sim N(30,8)  

Where \mu=30 and \sigma=8

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.15   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.04

And if we solve for a we got

a=30 +1.04*8=38.32

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.  

C) 38.32

7 0
3 years ago
Other questions:
  • A=1/2h(B+b); A=42 B=6 b=1
    7·1 answer
  • A sandwich shop offers ham, turkey, tuna, chicken salad, and roast beef. It has Swiss, American, and provolone cheese. You can o
    15·1 answer
  • The bacteria in a 11​-liter container double every 3 minutes. After 57 minutes the container is full. How long did it take to fi
    7·1 answer
  • What is 32 percent of 60
    14·1 answer
  • please help :( please help :( please help :( please help :( please help :( please help :( please help :( please help :(​
    7·2 answers
  • Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot sh
    13·1 answer
  • Josh used 3 packages of spaghetti to make dinner for 19 guests. How much did<br> each guest have?
    12·1 answer
  • If the graph of the second equation in the system passes through the points (-12,20) and (4,12), which statement is true?
    13·1 answer
  • PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
    6·1 answer
  • {3x+y=2<br> {6x +2y=4<br><br> i think it’s system of equations
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!