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Gala2k [10]
3 years ago
8

W2 – 2w Complete square to make perfect square trinomial

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

<h2>w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)²</h2>

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

We have

w² - 2w = w² - 2(w)(1)

We must add 1²

w² - 2(w)(1) + 1² = (w - 1)²

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Which side lengths form a right triangle?<br> Choose all answers that apply:
kkurt [141]

Answer:

All 3 are right triangles.

Step-by-step explanation:

In a right triangle c^2 = a^2 + b^2   where c is the longest side.  ( by Pythagoras).

a) 3^2 = 9, 6^2 = 36 and √27 ^ 2 = 27

36 = 9 + 27

So this is a right triangle.

b)

17^2 = 289, 15^2 = 225 and 8^2 = 64

289 = 225 + 64

Also right triangle.

c) √50 ^ 2 = 50, 5^2 = 25 and 5^2 = 25

So also right triangle.

3 0
2 years ago
Please help and explain how you solved it. Thanks.
galina1969 [7]

Answer:

This is 0.14 to the nearest hundredth

Step-by-step explanation:

Firstly we list the parameters;

Drive to school = 40

Take the bus = 50

Walk = 10

Sophomore = 30

Junior = 35

Senior = 35

Total number of students in sample is 100

Let W be the event that a student walked to school

So P(w) = 10/100 = 0.1

Let S be the event that a student is a senior

P(S) = 35/100 = 0.35

The probability we want to calculate can be said to be;

Probability that a student walked to school given that he is a senior

This can be represented and calculated as follows;

P( w| s) = P( w n s) / P(s)

w n s is the probability that a student walked to school and he is a senior

We need to know the number of seniors who walked to school

From the table, this is 5/100 = 0.05

So the Conditional probability is as follows;

P(W | S ) = 0.05/0.35 = 0.1429

To the nearest hundredth, that is 0.14

3 0
3 years ago
martin can run 6 miles in 60 minutes. He wants to run in either one of two upcoming races, a 4 mile race or a 12 mile race. At h
just olya [345]

Answer:

4 mile= 40

12 mile= 120

it will take him 80

Step-by-step explanation:

6 0
3 years ago
How many hours of sleep do most people need to function properly?
Juliette [100K]

Answer:

7

Step-by-step explanation:

8 0
3 years ago
A large pot holds 12 gallons of soup Jared has 1-pint containers of chicken broth. Complete the table to help you find the numbe
Rina8888 [55]
There is 8 pints in 1 gallon so 12x8=96
96 pints to fill a 12 gallon pot
7 0
3 years ago
Read 2 more answers
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