Answer:
Slope =
Step-by-step explanation:
Slope of a straight line passing two points and
is given by the formula,
m =
From the graph attached,
Line is passing through two points (20, 5) and (80, 20),
Therefore, slope of the line will be,
m =
m =
The slope is .
Answer:
p =
Step-by-step explanation:
To make a perfect square
add ( half the coefficient of the x- term )² to x² - x, that is
x² + 2(- )x +
with p =
, thus
x² - x = (x - )² +
Answer:
x = - 2, x = -
Step-by-step explanation:
Given
5x² + 1 = - 13x - 5 ( add 13x - 5 to both sides )
5x² + 13x + 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × 6 = 30 and sum = 13
The factors are 10 and 3
Use these factors to split the x- term
5x² + 10x + 3x + 6 = 0 ( factor the first/second and third/fourth terms )
5x(x + 2) + 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(5x + 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = -
