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Vinil7 [7]
3 years ago
14

PLEASE HURRY 9x^2 + 64 = 0 I NEED THE WORK SHOWN IN ORDER TO GET CREDIT

Mathematics
2 answers:
seropon [69]3 years ago
6 0

Answer:

x = ± \frac{8}{3} i

Step-by-step explanation:

subtract 64 from both sides

9x² = - 64 ( divide both sides by 9 )

x² = - \frac{64}{9} ( take the square root of both sides )

x = ± \sqrt{-64/9} = ± \frac{8}{3} i


Mars2501 [29]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

9x^2 + 64 = 0

9x^2 = -64

x^2 = -64 / 9  

Taking square roots of both sides:-

x = +/-  (-8/3)

x = -8i/3 , 8i/3

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Suppose a triangle has two sides of length 42 and 35, and that the angle between these two sides is 120 degrees. What is the len
FrozenT [24]

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=42, B=120°, and c=35. Plugging in the values:

b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).

Simplifying gives:

b^2 = 4459.

Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).

This means that the length of the third side is 66.78 units!!!

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3 years ago
Is the following statement true or false? The intersection of a plane and a line can be a line segment
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Step-by-step explanation:

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Please help me asap<br>​
Lera25 [3.4K]

Answer:

Step-by-step explanation:

From the picture attached,

∠4 = 45°, ∠5 = 135° and ∠10 = ∠11

Part A

∠1 = ∠4 = 45°  [Vertically opposite angles]

∠1 + ∠3 = 180° [Linear pair of angles]

∠3 = 180° - ∠1

     = 180° - 45°

     = 135°

∠2 = ∠3 = 135°  [Vertically opposite angles]

∠8 = ∠5 = 135° [Vertically opposite angles]

∠5 + ∠6 = 180° [Linear pair of angles]

∠6 = 180° - 135°

∠6 = 45°

∠7 = ∠6 = 45° [Vertically opposite angles]

By triangle sum theorem,

m∠4 + m∠7 + m∠10 = 180°

45° + 45° + m∠10 = 180°

m∠10 = 180° - 90°

m∠10 = 90°

m∠10 = m∠12 = 90°  [Vertically opposite angles]

m∠10 = m∠11 = 90° [Given]

Part B

1). ∠1 ≅ ∠4  [Vertically opposite angles]

2). ∠7 + ∠5 = 180° [Linear pair]

3). ∠9 + ∠10 = 180° [Linear pair]

7 0
3 years ago
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