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Katarina [22]
3 years ago
15

Solve this equation by completing the square p^2 + 16p - 17 = 0

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0

Answer: p=1

Step-by-step explanation:

p^{2}+16p-17=0\\p^{2}+16p=17\\1^{2}+16(1)=17\\1+16=17\\p=1

(p-1)(p+16)

Also, here's the cross method in completing the square that I tried in the file attachment. I haven't done this in a while, so this may not be neat.

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a triangle has sides 8cm and 5cm and an angle of 90 degree between them.calculate the smallest angle of the triangle ​
kakasveta [241]

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

Tan\ x = \frac{Opposite}{Adjacent}

Tan\ x = \frac{5}{8}

Tan\ x = 0.625

Take arctan of both sides

x = tan^{-1}0.625

x = 32.0053832081

x = 32 (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

Tan\ y = \frac{Opposite}{Adjacent}

Tan\ y = \frac{8}{5}

Tan\ y = 1.6

Take arctan of both sides

y = tan^{-1}1.6

y = 57.9946167919

y = 58 (Approximated)

<em>By comparing the angles, the smallest angle is 32 degrees</em>

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