-5x+5=-5[x-1] can i get help with this
1 answer:
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The length of the hypotenuse is .
Given that
Consider triangle DEF.
The legs have a length of 36 units each.
Triangle DEF is shown.
Angle DFE is 90 degrees and angles FDE and DEF are 45 degrees.
The lengths of sides DF and FE are 36 units.
We have to determine
What is the length of the hypotenuse of the triangle?
According to the question
The length of the hypotenuse is determined by using the Pythagoras theorem following all the steps given below.
The length of the hypotenuse is determined by;
Hence, the length of the hypotenuse is .
To know more about Pythagoras theorem click the link given below.
Answer:
A) x = {5, 7}
B) The solutions make the equation true.
Step-by-step explanation:
<u>Part A</u>:
To solve this by factoring, you need to find factors of 35 that have a sum of -12. Since 35 is the product of two primes, the search is a short one.
35 = (-1)(-35) = (-5)(-7)
The corresponding sums are -36 and -12, so the latter factor pair is the one we want. Since the coefficient of x^2 is 1, we can use these numbers directly in the binomial factors:
x^2 -12x +35 = (x -5)(x -7) = 0
The zero product rule tells us this product is zero only when one of the factors is zero:
x -5 = 0 ⇒ x = 5
x -7 = 0 ⇒ x = 7
The two solutions are x=5 and x=7.
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<u>Part B</u>:
The solutions from part A are the x-intercepts of the graph of the quadratic expression. They are the values of x that make the quadratic expression be zero. That is, they are the values of x that make the equation true.
