My teacher never explained how to do this so can someone help me?
1 answer:
Answer:
75cm^2
Step-by-step explanation:
When you say a rectangular prism, it means it has the base has 4 sides of which opposite sides are equal as a rectangle. This sides substends so we have a total of 6 surfaces in this prism.
This 6 surfaces has 3 surface area the same.
The surface area = sum of area of all faces.
325= 50 + 50 + 37.5 + 37.5 + 2x; where X is the area of the surface unknown.
325= 100+ 75 + 2x
325-175= 150
150= 2x
X= 150/ 2 = 75 cm^2
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The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
<h3>How to find the factors of a quadratic expression?</h3>If the given quadratic expression is of the form
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:
We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:
Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
Learn more about factorization of quadratic expression here: