Answer:
- 3x² + 5x + 1 = 0 simplified
- x = (-5 ±
)/6 roots
Step-by-step explanation:
<u>Given quadratic formula</u>
<u>Standard form</u>
<u>Simplifying</u>
- 3x² + 5x - 5 + 6 = 0
- 3x² + 5x + 1 = 0
<u>Solving</u>
- x = (-5 ±
)/(2*3) - x = (-5 ± )/6
Answer:
$69.60
Step-by-step explanation:
58 increase 20% =
58 × (1 + 20%) = 58 × (1 + 0.2) = 69.6
A triangle with lengths 5, 12, and 13 is a Pythagorean triple
The approximate acute angles are 22.6° and 67.4°
Pythagorean triple
Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:
A triangle whose sides form a Pythagorean triple is called a right angle triangle.
The longest side is the hypotenuse side.
Therefore,
- 5² + 12²
- 25 + 144 = 169
- √169 = 13
Therefore,
5² + 12² = 13²
This means the triangle is a Pythagorean triple.
<h3>Acute angles</h3>
Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.
Therefore, let's find them
- tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
- 180 - 22.6 - 90 = 67.4°
learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults
Answer:
(
,
)
Step-by-step explanation:
For this you use the midpoint formula
the points would be (2,1) and (5,2)
The midpoint would be (,)
