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kherson [118]
3 years ago
7

Work out the area of the triangle. 13m 12m and 5m​

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

30m²

Step-by-step explanation:

To find the area of a triangle, you need to ensure that the triangle is a right-angled triangle. We can use the Pythagoras Theorem to help us prove that.

a² + b² = c²

5² + 12² = 169

13² = 169

By converse of Pythagoras Theorem, the triangle is a right-angled triangle.

Thus, you can directly find the area of the triangle using the formula: base × height ÷ 2.

Area = 12 × 5 ÷ 2

        = 30m²

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Which quadratic equation has the roots -1+4i and -1-4i
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Answer:

C

Step-by-step explanation:

Solve the quadratic in answer choice C using the quadratic formula:

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Here a=1, b=2, and c=17.

Substitute and you'll have:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-2+/-\sqrt{(-2)^2-4(1)(17)} }{2(1)}=\frac{-2+/-\sqrt{4-68}}{2)}

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6 0
4 years ago
Which system of inequalities has a solution set that is a line?
Korolek [52]

We're going to solve each of the systems to determine the solution.

<u>System 1</u>

x+y \geq  3\\ x+y \leq  3

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the solution is the line x+y=3

see the attached figure N 1

<u>System 2</u>

x+y \geq  -3\\ x+y \leq  3

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the solution is the shaded area

see the attached figure N 2

<u>System 3</u>

x+y >  3\\ x+y <  3

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see the attached figure N 3

<u>System 4</u>

x+y >  -3\\ x+y <  3

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see the attached figure N 4

therefore

<u>the answer is</u>

<u>System 1</u>

x+y \geq  3\\ x+y \leq  3



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