Answer:
Yes.
Step-by-step explanation:
To find the point of intersection we solve the system:
y = x + 3
y = -x + 7 Subtract:
0 = 2x - 4
2x = 4
x = 2.
She is correct.
Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.
remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2
we said all side lengths are x so we can put x in for a and b and get
x^2 + x^2 = c^2
2x^2 = c^2
c = x * squareroot(2)
that is the basic fundamental answer that will always work when working with diagonals of squares.
so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft
Sarahtime (min) {3 } 5 12 17
distance (meters) {75} 125 300 425
Eva time (min) {2} 7 10 20
distance (meters) {52} 182 260 520
Sarah:meters over min =75 over 3 = 25 over 1
25 meters per min
Eva :meters over min= 52 over 2 =26 over 1
26 meters per min
eva is the faster swimming because 26 meters per min is faster then 25 meters per min .
i hope this help
