We have that
<span>triangle ABC
where
A(-5, 5), B(1, 1), and C(3, 4) are the vertices
using a graph tool
see the attached figure
the hypotenuse is the segment AC
find the equation of the line AC
</span>A(-5, 5) C(3, 4)
<span>
step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=</span>(4-5)/(3+5)-----> m=-1/8
step 2
with C(3,4) and m=-1/8
find the equation of a line
y-y1=m*(x-x1)-----> y-4=(-1/8)*(x-3)----> y=(-1/8)*x+(3/8)+4
y=(-1/8)*x+(3/8)+4----> multiply by 8----> 8y=-x+3+32
8y=-x+35
the standard form is Ax+By=C
so
x+8y=35
A=1
B=8
C=35
the answer isx+8y=35
Answer: 96 truckloads, 95 will be full, the last on will have 10 cars
Step-by-step explanation: 1150/12= 95.888> 95*12=1140, 1140+10=1150
Y = 5<span><span>(x+<span>32</span>)^</span>2 </span>− <span><span>53/4 (the / is for fraction)</span></span>
Answer:
The first option is the correct one, the area of the shaded portion of the circle is
[/tex](5 \pi -11.6)ft^2[/tex]
Step-by-step explanation:
Let us first consider the triangle + the shadow.
The full area of the circle is the radius squared times pi, so
A=
Since
, the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus

If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from
.
The area of the triangle is given by

Thus the area of the shaded portion of the circle is

No13.
Answer:
Cos(x+x)=cosx*cosx-sinx*sinx
=cos2(x)-sin2(x)
=(cosx+sinx)(cosx-sinx)