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RideAnS [48]
3 years ago
15

Brainlist to whoever shows me how to solve this step by step.

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

  x ∈ {-4, 2}

Step-by-step explanation:

The x-coefficient (+2) is the sum of the constants in the binomial factors of the equation, and the constant term (-8) is their product.

Since you're familiar with the divisors of 8, you know that the two factors of -8 that total +2 are -2 and +4. These are the constants in the binomial factors:

  f(x) = x^2 +2x -8

  f(x) = (x -2)(x +4)

The roots of f(x) are the values of x that make these factors be zero. They are x=2 and x=-4.

The roots of f(x) are -4 and 2.

_____

Above is the solution by factoring. We can also "complete the square" to find the roots. Anytime we're looking for roots, we want the values of x that make f(x) = 0.

  x^2 +2x -8 = 0

  x^2 +2x = 8 . . . . . add the opposite of the constant

  x^2 +2x +1 = 8 +1 . . . . . add the square of half the x-coefficient: (2/2)² = 1

  (x +1)² = 9 . . . . . . . . . . . write as squares

  x +1 = ±√9 = ±3 . . . . . . take the square root

  x = -1 ± 3 . . . . . . . . . . . subtract 1

The roots are x=-4, x=2.

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PLS HELP ILL GIVE BRAINLIST!
RideAnS [48]

Answer:

The length of AP will be 14 units.

Step-by-step explanation:

As P is the centroid of ΔABC as shown in question figure.

As the side AB of the triangle has the midpoint D, the side AC of the triangle has the midpoint F and the side BC of the triangle has the

midpoint E.

Hence, CD, BF and AE being medians of ΔABC.

The point of intersection of these medians will be the centroid of the triangle. Hence, P is the centroid of ΔABC

According to rule, the centroid point of the triangle ΔABC divides each median into two segments in the ratio 2 : 1.

So,

AP = \frac{2}{3} AE

As the value of AE = 21

So,

AP = \frac{2}{3} (21)

AP = 14

So, the length of AP will be 14 units.

Keywords: centroid, triangle

Learn more about the centroid of triangle from brainly.com/question/7722758

#learnwithBrainly

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