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mina [271]
3 years ago
12

In the figure below, find the exact value of z.

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

9514 1404 393

Answer:

  z = 9/2

Step-by-step explanation:

The triangles in the figure are all similar, so the side lengths are proportional.

  long side/hypotenuse = z/6 = 6/8

  z = 36/8 = 9/2 . . . . multiply by 6

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6 0
4 years ago
What is the first step in solving the following equation
Naily [24]

Answer:

The first step in solving the equation is "set each binomial factor equal to zero" ⇒ 3

Step-by-step explanation:

To solve a quadratic equation y = ax² + bx + c

  • Put y = 0
  • Factorize it into two binomial factors (x ± m)(x ± n)
  • Equate each binomial factor by 0 to find the values of x
  • The values of x are the solution of the equation

∵ The equation is (x + 2)(x - 3) = 0

∵ The equation equated by 0

∵ It is factored into 2 binomial factors (x + 2) and (x - 3)

- The next step is equated each factor by 0 to find the values of x

∴ The 1st step in solving (x + 2)(x - 3) = 0 is set x + 2 = 0 and

   x - 3 = 0

The first step in solving the equation is "set each binomial factor equal to zero"

8 0
3 years ago
Classify the following polynomial function, −3x(x2−4)(2x2+5)based on degree and number of terms.
Free_Kalibri [48]

Answer:

Quintic Trinomial (2nd option)

Step-by-step explanation:

We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have -3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x

So, there are 3 terms, which is a trinomial.

5 0
2 years ago
Given rhombus QRST below, which of the following conjectures, concerning the diagonals of a rhombus, is most likely true?
Kay [80]

Answer:

C. The diagonals of a rhombus are perpendicular.

8 0
3 years ago
Read 2 more answers
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