Answer:
m = - 2.27 or m = 16.27
Step-by-step explanation:
Given
m² - 14m - 37 = 0 ( add 37 to both sides )
m² - 14m = 37
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(- 7)m + 49 = 37 + 49, that is
(m - 7)² = 86 ( take the square root of both sides )
m - 7 = ± ( add 7 to both sides )
m = 7 ± , that is
m = 7 - ≈ - 2.27 or m = 7 +
≈ 16.27
Answer:
The probability of drawing the first pink ball is .
Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.
Hence, the probability of drawing another pink ball after drawing the first pink ball would be:
Answer:
The perimeter of the triangle is approximately equal to 18
Step-by-step explanation:
The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)
The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;
The lengths of the segments that make up the triangle are therefore;
Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41
Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73
Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10
Therefore;
The perimeter of the triangle = The sum of the lengths of the sides of the triangle = √41 + √73 + √10
The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094
∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.