Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
Answer:
AC = 7.5 cm
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
, that is
=
( cross- multiply )
7AC = 52.5 ( divide both sides by 7 )
AC = 7.5 cm
Answer:

Step-by-step explanation:
GIVEN: A bicycle training wheel has a radius of
. The bicycle wheel has a radius of
.
TO FIND: Approximately how much smaller, in square inches, is the area of the training wheel than the area of the regular wheel.
SOLUTION:
radius of bicycle wheel 
area of bicycle wheel 
putting value,
area of bicycle wheel 

radius of bicycle training wheel 
area of bicycle training wheel 
putting value,
area of bicycle wheel 

difference in area of bicycle wheel and bicycle training wheel



hence the training wheel is
smaller than regular wheel
Answer:
Each member received 14 ounces each.
Step-by-step explanation:
Answer:
12 inches
Step-by-step explanation:
Perimeter refers to distance around the 2D shape.
A hexagon is a polygon with 6 sides. The formula for the perimeter of a hexagon is P=6s
72=6s