Answer:
y=-3x+4
Step-by-step explanation:
Using the formula y=mx+b
mx= slope b= y-intercept
hence,
y=-3x+4 has a y-intercept of (0,4)
That would be a 45 degree angle
The first step to solve this problem is to find the area of
the rectangular piece of fabric.
A of triangle = bh/2
A = (14 cm) (6 cm) /2
A = 84 cm^2 / 2
A = 42 cm
And since there are 31 pieces of the fabric, the total area
of all the pieces of fabric is:
31 pieces of fabric x 42 square centimeters per piece =
1,302 square centimeters
To computer how many congruent triangular patches can be
cut, you have to divide the total area of the fabric pieces with the area of
the congruent triangle:
1,302 square centimeters / 21 square centimeters = 62
Therefore, Leia can cut 62 patches.
Answer:
14
Step-by-step explanation:
f(x)=-1/3x+13
f(-3)=-1/3(-3)+13
f(-3)=3/3+13
f(-3)=1+13
f(-3)=14
The answer is 54 square units.
let the vertex in quadrant I be (x,y)
<span>then the vertex in quadratnt II is (-x,y) </span>
<span>base of the rectangle = 2x </span>
<span>height of the rectangle = y </span>
<span>Area = xy </span>
<span>= x(27 - x</span>²<span>) </span>
<span>= -x</span>³<span> + 27x </span>
<span>d(area)/dx = 3x</span>²<span> - 27 </span><span>= 0 for a maximum of area </span>
<span>3x</span>²<span> = 3 x 3</span>² = <span>27 </span>
<span>x</span>²<span> = 9 </span>
<span>x = ±3 </span>
<span>y = 27-9 = 18 </span>
So, the largest area = 3 x 18 = 54 square units
