Answer:
E 10 sqrt(2)
Step-by-step explanation:
If this is an isosceles triangle than AB = BC and AB = 10 so BC = 10
We want to us the Pythagorean theorem since it is a right triangle
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
10^2 + 10^2 = AC^2
100 + 100 = AC^2
200 = AC ^2
Take the square root of each side
sqrt(200) = sqrt( AC^2)
sqrt(100*2) = AC
We know sqrt(ab) = sqrt(a) sqrt(b)
sqrt(100) sqrt(2) = AC
10 sqrt(2) = AC
Answer: There are 944 lots the broker will realize from this subdivision.
Step-by-step explanation:
Since we have given that
For 10 acre tract,
Number of lots = 50 by 100 foot = 5000
If the tract has 85600 square feet, we need to find the number of lots.
Since 1 acre = 43560 square feet
so, 10 acres = square feet
Since there is direct variation, so it becomes,
Hence, there are 944 lots the broker will realize from this subdivision.
Answer:
the answer is 32
Step-by-step explanation:
2 ways
1. get into vertex form y=a(x-h)^2+k
2. use math hacks
1.
vertex is (h,k) in y=a(x-h)^2+k
complete square
y=(2x^2+4x)+1
y=2(x^2+2x)+1
y=2(x^2+2x+1-1)+1
y=2((x+1)^2-1)+1
y=2(x+1)^2-2+1
y=2(x+1)^2-1
y=2(x-(-1))^2+(-1)
vertex is (-1,-1)
2.hack way
in form y=ax^2+bx+c
x value of vvertex is -b/2a
given
y=2x^2+4x+1
b=4, a=2
xvaluevertex=-4/(2*2)
xvaluevertex=-4/4=-1
sub back to find y value
y=2(-1)^2+4(-1)+1
y=2(1)-4+1
y=2-4+1
y=-1
y value is -1
vertex is (-1,-1)
those are 2 ways to find vertex which is (-1,-1)
0.2 is the same as 1/5, multiply by five to get one mile, so you have to multiply 70.4 by 5 to get 352 feet in one hour