Answer:
Sam is incorrect
Step-by-step explanation:
We can calculate the lengths of the diagonals using Pythagoras' identity.
The diagonals divide the rectangle and square into 2 right triangles.
Consider Δ SRQ from the rectangle
SQ² = SR² + RQ² = 12² + 6² = 144 + 36 = 180 ( take square root of both sides )
SQ = 
≈ 13.4 in ( to 1 dec. place )
Consider Δ ONM from the square
OM² = ON² + NM² = 6² + 6² = 36 + 36 = 72 ( take square root of both sides )
OM = 
≈ 8.5 in ( to 1 dec. place )
Now 2 × OM = 2 × 8.5 = 17 ≠ 13.4
Then diagonal OM is not twice the length of diagonal SQ
Answer:
3x²+6x+2
Step-by-step explanation:
f(x)+g(x)-h(x)
=(3x+5)+(4x²-2)-(x²-3x+1)
=3x+5+4x²-2-x²+3x-1
=6x²+2+3x
=3x²+6x+2 (rearrange)
Answer:
y>= 2/3(x) - 2.5
Step-by-step explanation:
The sign should be "greater than or equal to" but my keyboard doesn't have that. Sorry.
The slope is "up two, over three" found by finding places where the line passes through the grid lines, and counting.
The y-intercept is -2.5. That tells you the "constant" to put in for "b" in the slope intercept form, y=mx+b
5x+x=42
X=7
The daughter is 7
Check work 7 times 5 is 35, 35 plus 7 is 42
