D sounds like it could be your answer
The answer is B and C. Hope this helps!
The right answers is option c
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
False, if the electrical potential in a region is constant, the electric field must be zero everywhere in that region.
<h3>What is electric field?</h3>
Electric field is the region of space where the influence of electric force is felt.
E = V/d
where;
- V is electric potential of the field
- d is the distance
Thus, if the electrical potential in a region is constant, the electric field must vary with distance.
Learn more about electric field here: brainly.com/question/14372859
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