What is the most likely consequence of open pit mining on plant life? a. A dramatic reduction in the variety of plant species b.
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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
Triangle GED and triangle DEH are similar triangles with a common side length DE
The value of x is 24
<h3>How to calculate the value of x</h3>To calculate x, we make use of the following equivalent ratio
Substitute known values
Express the ratio as fraction
Evaluate the quotient
Multiply both sides by 35
Subtract 4 from both sides
Hence, the value of x is 24
Read more about similar triangles at:
