Answer:
p = - 5, p = - 1
Step-by-step explanation:
Given
- 
= 
Multiply through by the LCM of (p - 5)(p + 3)
3p(p + 3) - 2(p - 5) = p(p - 5) ← distribute parenthesis
3p² + 9p - 2p + 10 = p² - 5p
3p² + 7p + 10 = p² - 5p ( subtract p² - 5p from both sides )
2p² + 12p + 10 = 0 ← divide through by 2
p² + 6p + 5 = 0 ← in standard form
(p + 1)(p + 5) = 0 ← in factored form
Equate each factor to zero and solve for p
p + 1 = 0 ⇒ p = - 1
p + 5 = 0 ⇒ p = - 5
Answer:
Step-by-step explanation:
To solve for q, we initially place everything with the term q to one side of the equality, and everything without the term q to the other side of the equality.
So
We find the square of both sides of the equation. So
To find the inverse of a function, replace every x in the equation with a y, and replace every y in the equation with an x:
Add 9 to both sides:
Square root both sides to get y by itself:
This equation can be simplified by taking the square root of 9 out of the root:
The inverse of this function is
y = 3 + √x.
A trapezoid is isosceles if and only if
(1) The base angles are congruent
(2) The diagonals are congruent
(3) The opposite angles are supplementary
So the description does not guarantee that a trapezoid is isoceles for "Congruent bases".
Answer:
CSA = 2 * pi * r * h
Step-by-step explanation:
CSA = 2 * 22 * 7 * 12 / 7
= 2 * 22 * 12
528 cm ^3
