We have two containers with an identical amount of gas in each. One gas is helium, the other is ammonia. Which would you expect
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No product results in -1, hence δlmn is NOT a right triangle showing that lydia's assertion is incorrect
<h3>Perpendicular lines</h3>In order to determine whether triangle lmn is right-angled, we need to determine the slope of lm, ln, and mn first as shown:
For the slope of lm:
For the slope of ln:
For the slope of mn:
- If any of the two lines is perpendicular, hence the triangle lmn is right-angled.
- To check, we will take the product of the slopes and see if it is equivalent to -1.
Product of slope lm and ln
Since no product results in -1, hence δlmn is NOT a right triangle showing that Lydia's assertion is incorrect
Learn more on slopes here: brainly.com/question/3493733
The sum of the two numbers is equal to 70.
- Let the first number be x.
- Let the second number be y.
In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
....equation 1.
The product of the two numbers is 713:
....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
Solving the quadratic equation by factorization, we have:
y = -23 or 31.
For the value of x, when y = 31:
x = 39
Now, we can calculate the sum of the two numbers:
Read more on word problems here: brainly.com/question/13170908