Answer:
a) 5 pizzas need to be ordered and half of a pizza will be left over aka 0.5
b) $45
Step-by-step explanation:
The given pentagon can be divided into two figures : a triangle and rectangle as shown in figure.
Let us find area of each figure separately.
Triangle:
Area of triangle is given by:
where b=base and h=height
Height of triangle :
h=(3x+5)-(2x+1)
h=x+4
Base = 2x-2
Area of triangle= (x-1)(x+4) = x²+3x-4
Area of rectangle:
Area of rectangle is given by:
A=l*b
Area of rectangle = 4x²-2x-2
Area of pentagon = Area of triangle + Area of rectangle
Area of pentagon = x²+3x-4 + 4x²-2x-2
Area of pentagon = 5x²+x-6
If area of pentagon is 42 cm², then solving for x,
Factorising to get x,
x=-3.2 and x=3
If we take x as negative the side will be negative, so we neglect x=-3.2
So x=3 is the answer.
y = 6x + 6 is a system of linear equations for the graph.
<h3>
Explain about the linear equations?</h3>
If a variable's maximum power is always 1, an equation is said to be linear. As a one-degree equation, it also goes by that name. An equation with one variable that has the usual form Ax + B = 0 is a linear equation. A coefficient, B is constant, and x is a variable in this situation.
Ax+By=C represents a two-variable linear equation in its standard form. As an illustration, the conventional form of the linear equation 2x+3y=5 It is rather simple to locate both intercepts when an equation is stated in this way (x and y).
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable).
Slope = y2- y1 /x2- x1
if these points are x (0,-6) y (1 ,-5)
1 +5/ 0 +6 = 6
Equation for the line through (0, -6) and slope is slope = (6),
y - y' = m(x - x')
y - 6 = (6)(x- 0) (x- 0)
y - 6 = 6x
y = 6x + 6
To learn more about linear equations refer to:
brainly.com/question/2030026
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