Answer:
18) Area= 5*5/2=25/2=12.5 unit ^2
19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Step-by-step explanation:
18. A(-3,0)
B(1,-3)
C(4,1)
AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5
AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2
BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5
so AB=BC=5
and AC^2=AB^2+BC^2
so trg ABC is an isosceles right angle triangle (<B=90)
Area= 5*5/2=25/2=12.5 unit ^2
19. A(a,a)
B(-a,-a)
C(-V3a, V3a)
AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2
AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2
BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2
so AB=AC=BC
Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Because
x
can take any value, the Domain of this equation is the set of all Real Numbers:
{
R
}
Because this is a simple linear transformation, the Range of this equation is also the set of all Real Numbers:
{
R
}
A: 40
Let’s do this problem backwards.
TOTAL BOOKS RN: 36
1)
“Jill... then bought 16 more...”
36 - 16 = 20
After subtracting that amount, we would end up with half of the books Jill DID NOT sell.
2)
2 • 20 = 40
At this point, we multiplied amount of books she had after she sold half of her comic books by the reciprocal of 1/2
And now you have your answer!
Answer:
4(x-1/2)^2+0
Step-by-step explanation:
I used the formula (b/2)^2
(34-4) + 65) X 45
(30 + 65 X 45
30 + 2925
2955
