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Varvara68 [4.7K]
3 years ago
5

The height, h, of a triangle can be found using the formula below when A is the area of

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer:

  • A = 9/2b

Step-by-step explanation:

<u>Given</u>

  • h = 2A/b

<u>Solving for A when h = 9</u>

  • A = bh/2
  • A = 9b/2
  • A = 9/2b

Last option is correct

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Select the two values of x that are roots of this equation
Jet001 [13]
<h2>Hello!</h2>

The answers are:

B.   \frac{-3-\sqrt{29}}{2}

C.   \frac{-3+\sqrt{29}}{2}

<h2>Why?</h2>

We can use the quadratic equation to find the two values of x that are roots of the given equation. We must remember that most of the quadratic equations have two roots, however, we could find quadratic equations with just one root or even with no roots, at least in the real numbers.

Quadratic equation:

\frac{-b+-\sqrt{b^{2}-4ac} }{2a}

So,

From the given equation we have:

a=1\\b=3\\c=-5

Substituting it into the quadratic equation to find the roots, we have:

\frac{-b+-\sqrt{b^{2}-4ac} }{2a}=\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}\\\\\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}=\frac{-3+-\sqrt{9+20} }{2}\\\\\frac{-3+-\sqrt{29}}{2}

So,

x_{1}=\frac{-3-\sqrt{29}}{2}\\\\x_{2}=\frac{-3+\sqrt{29}}{2}

Hence, the correct options are B and C.

7 0
4 years ago
Choose correct answers
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4 0
3 years ago
A torch and a battery cost £2.50 altogether.
krek1111 [17]

Answer:

3/5

Step-by-step explanation:

torch = £1.50

2.50/1.50=0.6

0.6 = 6/10

      = <u>3/5</u>

3 0
4 years ago
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Step-by-step explanation:

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3 years ago
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A child toy is made by removing a triangular prism from the center of a wooden rectangular prism The triangular base of the tria
Ket [755]

*see attachment for the diagram given

Answer:

Volume of the toy = 68 in.³

Step-by-step explanation:

The equation to find the volume of the toy = volume of the wooden rectangular prism - volume of the triangular prism removed form the center

Volume of the toy = (L*W*H) - (½*bhl)

Where,

L = 8 inches

W = 3 inches

H = 3 inches

b = 1 inch

h = 1 inch

l = 8 inches

Plug in the values into the equation

Volume of the toy = (8*3*3) - (½*1*1*8)

Volume = 72 - 4

Volume of the toy = 68 in.³

7 0
3 years ago
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