Lab Safety is the main starting point on the scientific process.
Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
Both angles have a measure of 125°.
<h3>
How to find the measure of the angles?</h3>
Assuming the two horizontal lines are parallel, we know that the measure of the two indicated angles must be the same one.
Then:
-1 + 14x = 12x + 17
Now we need to solve this for x:
14x - 12x = 17 + 1
2x = 18
x =18/2 = 9
Now that we know the value of x we can replace it in any of the expressions for the angles:
-1 + 14*9 = 125°
Both angles have a measure of 125°.
If you want to learn more about angles:
brainly.com/question/25716982
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Answer:
486kg
Step-by-step explanation:
density = mass / volume
2.7 = m / (100 x 60 x 30) **** Note the conversion to cm as the density is given in g/cm.
2.7 = m / 180000
m = 486000g
Now convert to mass in kg:
486000 g x 1 kg / 1000 g = 486kg
Answer:
the least required speed is 103.88 km/h
Step-by-step explanation:
Data provided in the question:
Total distance = 270 km
Total time to reach = Time between 8 a.m and 11:15 a.m i.e 3.25 hours
Now,
For the distance of 110 km speed was 100 km/h
therefore, the time taken to cover 110 km = 
= 
= 1.1 hour
For another 43 km speed was 42 km/h
therefore, the time taken to cover 43 km =
= 
= 1.0238 hours
Now,
The distance left to be covered = 270 - 110 - 43 = 117 km
Time left = 3.25 h - 1.1 h - 1.0238 h = 1.1262 h
Thus required speed = 
= 103.88 km/h
Hence, the least required speed is 103.88 km/h
