Answer:
x = - 2, x = 3
Step-by-step explanation:
Given
x² - x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are + 2 and - 3 , since
2 × - 3 = - 6 and 2 - 3 = - 1 , then
(x + 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
add the total time = 3+1 = 4 hours
add total miles = 100+49 = 149
divide 149 by 4= 149/4 = 37.25 miles per hour average
The figure consists of a rectangle and a circle.
first lets find the sides of the triangle
sides of the triangle are 4+4=8 and 3+1=4
therefore area of the rectangle is 8*4=32
now area of semicircle =πr^2/2 = π2^2/2=2π=6.3
we have to add the area of rectangle with the area of semicircle
this is because it the given figure no part of area of circle and rectangle are in common.
therefore total area of given figure = 32+6.3=38.3
57.4/10=5.74
the answer is 5.74
I think it's 112 I did it in my head might be wrong