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:
![y(y+8)=713\\\\y^2+8y=713\\\\y^2+8y-713=0](https://tex.z-dn.net/?f=y%28y%2B8%29%3D713%5C%5C%5C%5Cy%5E2%2B8y%3D713%5C%5C%5C%5Cy%5E2%2B8y-713%3D0)
Solving the quadratic equation by factorization, we have:
![y^2-31y +23y-713=0\\\\y(y-31)+23(y-31)=0\\\\(y+23)(y-31)=0](https://tex.z-dn.net/?f=y%5E2-31y%20%2B23y-713%3D0%5C%5C%5C%5Cy%28y-31%29%2B23%28y-31%29%3D0%5C%5C%5C%5C%28y%2B23%29%28y-31%29%3D0)
y = -23 or 31.
For the value of x, when y = 31:
![x=8+31](https://tex.z-dn.net/?f=x%3D8%2B31)
x = 39
Now, we can calculate the sum of the two numbers:
![x+y=39+31=70](https://tex.z-dn.net/?f=x%2By%3D39%2B31%3D70)
Read more on word problems here: brainly.com/question/13170908
Answer:
Angle-Angle similarity theorem
Explanation:
Then the two triangles must be congruent by Angle-Angle similar theorem.
C. Come to a complete stop begin the stop line
<h3>What is conventional theory of the formation of the galaxy ?</h3>
The conventional theory of the formation of the galaxy can be regarded as one that stressed that the formation of milky way was done relatively short time some million years ago.
And this was when spherical cloud of gas collapsed as a result of pressure the particular gravity which was surrounded by a halo.
Therefore, formation of the galaxy was recorded to occur roughly 12 to 13 billion years ago .
Learn more about galaxy at;
brainly.com/question/7974113