Answer:
x = 14
Step-by-step explanation:
1.1 Pull out like factors :
2x - 20 = 2 • (x - 10)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : x-10 = 0
Add 10 to both sides of the equation :
x = 10
One solution was found :
x = 10
Answer: it’s the third one
Step-by-step explanation:
It is
Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.
Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
Step-by-step explanation:
Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not
all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).
Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.
As shown in the Construction Y because E is the circumcentre of triangle LMN.
This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
QED!
Answer:
D. The company's chocolate bars weigh 3.2 ounces on average.
Step-by-step explanation:
We are given that a company claims that its chocolate bars weigh 3.2 ounces on average.
The company took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.
Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.
Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.
Thus Option D is correct.
D. The company's chocolate bars weigh 3.2 ounces on average.