Answer:
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Step-by-step explanation:
<h3>Given binomial:</h3>
x⁴ + 4y⁴
In order to factorize it, follow the steps:
<h3>Complete the square:</h3>
- x⁴ + 4y⁴ =
- (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
- (x² + 2y²)² - (2xy)² =
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Used identities:
- (a + b)² = a² + 2ab + b²
- a² - b² = (a + b)(a - b)
150
13+46= 59
59+87= 146
Round 46 to the nearest ten, which in this case would be 50 because the last number is larger than a 5.
Then add the 1 back in to make it 150.
Answer:
The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Step-by-step explanation:
Let be 
, where 
is the stopping distance measured in metres and 
is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.
The procedure to find the speed related to the given stopping distance is described below:
1) Construct the graph of 
.
2) Add the function 
.
3) The point of intersection between both curves contains the speed related to given stopping distance.
In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Answer:
The value is a statistic because the 6,076 adults in public restrooms are a sample
Step-by-step explanation:
A measure that is calculated from a sample is known as sample statistic.
A study conducted and for the study 6076 adults are selected to inquire about the hand washing habit of adults. The selected 6076 adults are a sample and for this sample we computed the average 23% which demonstrates that 23% of adults did not wash their hands before exiting. So, a statistic is 23% and 6076 adults are a sample.
Answer: 140 
Step-by-step explanation:
The area for a trapeziod is A = 
(b1+b2)h
We have almost everything we just need the total length of the top base, since it gives us the outer lengths we can find that by simply doing 4+6+15 which turns out to be 25
Now we can plug in our values:
A = (25 + 15) x 7 = 140
