Helppp meeee pleaseeeeeee
1 answer:
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Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation =
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Solving:
Delete the first parentheses by the distributive property, with the distributive property, we multiply the '3' first, then resolve it and the second parentheses eliminate by changing the sign:
<span>Now, put the numbers with letter (incognito) to the right and numbers without letter to the left, changing the signal when changing sides.
</span>
Answer:
Delete the first parentheses by the distributive property, with the distributive property, we multiply the '3' first, then resolve it and the second parentheses eliminate by changing the sign:
<span>Now, put the numbers with letter (incognito) to the right and numbers without letter to the left, changing the signal when changing sides.
</span>
Answer:
Answer:
Part 1)
Part 2)
Step-by-step explanation:
Part 1) Find the measure of angle a
we know that
The formula to calculate the measure of the interior angle of a regular polygon is equal to
where
n is the number of sides of the regular polygon
For the regular pentagon in the figure
n=5
substitute in the formula
Part 2) Find the measure of angle b
Remember that a regular polygon has equal sides and equal interior angles
so
In the figure , the length of the side of the two smaller equilateral triangles is equal to the length of the side of the regular pentagon
therefore
The triangle in white of the figure is an isosceles triangle
The measure of the vertex angle of the isosceles triangle is equal to
Remember that
The sum of the interior angles of triangle must be equal to 180 degrees
so
solve for b